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0017F0: 22 49 4E 54 52 4F 44 55 43 45 20 52 45 53 50 55 "INTRODUCE RESPU
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001A50: 00 00 EC 2C 0F 29 F4 FF 03 28 0E 29 29 EE 19 39 ...,.)...(.))..9
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001DD0: 97 20 BA 20 0E 01 BB 20 11 01 BF 20 FF 03 28 19 . . ... ... ..(.
001DE0: 1F 29 FF 03 28 10 29 FF 03 28 19 15 29 22 55 4E .)..(.)..(..)"UN
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001E00: 19 0A 00 0A 01 CC 20 0F 2C 19 FE 2C 19 28 01 0D ...... .,..,.(..
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001E50: 00 F9 29 3B AC 28 22 20 20 20 20 20 20 20 20 20 ..);.("
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001E70: 01 9E 20 0D 00 00 EC EF 0F 20 EC 20 0D 00 00 6E .. ...... . ...n
001E80: 6C 73 F1 01 BF 20 03 00 00 E4 28 0D 00 00 EC 29 ls... ....(....)
001E90: 01 B0 20 0D 00 00 EC 01 BF 20 FF 03 28 19 1F 29 .. ...... ..(..)
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001ED0: 28 03 00 00 F5 29 F4 FF 0C 28 FF 45 F6 10 29 29 (....)...(.E..))
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002430: 28 19 0E 29 3B 22 20 45 6A 65 72 63 69 63 69 6F (..);" Ejercicio
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002650: 50 61 67 73 2E 20 31 35 32 2D 31 35 37 2E 22 01 Pags. 152-157.".
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0042D0: 31 18 BF 20 22 20 45 6E 20 65 6C 20 74 72 69 61 1.. " En el tria
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004330: 00 8F 00 32 18 BF 20 FF 03 28 19 1F 29 FF 03 28 ...2.. ..(..)..(
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0043E0: 22 52 45 4C 41 43 49 4F 4E 45 53 22 01 20 CC 20 "RELACIONES". .
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004400: C9 20 00 9C 00 3B 18 0D 00 00 53 EA F3 D7 EF 12 . ...;....S.....
004410: 01 20 9F 20 1E F0 23 01 20 BF 20 FF 03 28 19 1F . . ..#. . ..(..
004420: 29 FF 03 28 19 14 29 FF 03 28 10 29 3B 22 20 22 )..(..)..(.);" "
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004490: 67 75 6C 6F 22 01 BF 22 64 65 20 32 34 30 DB 22 gulo".."de 240."
0044A0: 00 41 00 3C 18 BF 20 22 55 6E 20 6E 61 64 61 64 .A.<.. "Un nadad
0044B0: 6F 72 2C 53 22 01 BF 22 20 65 73 74 61 20 61 20 or,S".." esta a
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0044F0: FF 03 28 19 1F 29 FF 03 28 12 29 FF 03 28 10 29 ..(..)..(.)..(.)
004500: 3B 22 54 52 49 47 4F 4E 4F 4D 45 54 52 4C D7 49 ;"TRIGONOMETRL.I
004510: 41 2C 33 2D 44 49 4D 45 4E 53 49 4F 4E 41 4C 22 A,3-DIMENSIONAL"
004520: 01 20 CC 20 0F 2C 19 34 2C 19 0A 01 20 9F 20 1E . . .,.4,... . .
004530: AD 21 01 20 C9 20 00 BE 00 51 18 0D 00 00 53 D7 .!. . ...Q....S.
004540: EF 12 01 9F 20 1E F0 23 01 CC 20 0F 2C 19 34 2C .... ..#.. .,.4,
004550: 19 64 01 9F 20 1E 06 22 01 9F 20 1E 0B 22 01 BF .d.. ..".. .."..
004560: 20 FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 11 ..(..)..(.)..(.
004570: 29 22 32 2E 22 01 BF 22 20 63 61 6C 63 75 6C 61 )"2.".." calcula
004580: 20 6C 61 22 01 BF 22 74 61 6E 67 65 6E 74 65 20 la".."tangente
004590: 64 65 20 63 61 64 61 22 01 BF 22 75 6E 6F 20 64 de cada".."uno d
0045A0: 65 20 6C 6F 73 20 61 6E 67 75 6C 6F 73 22 01 BF e los angulos"..
0045B0: 22 73 69 67 75 69 65 6E 74 65 73 3A 22 01 BF 01 "siguientes:"...
0045C0: BF 22 28 55 53 41 20 66 72 61 63 69 6F 6E 65 73 ."(USA fraciones
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0045E0: 65 73 2E 22 01 BF 22 65 6A 2E 20 20 33 2F 34 2E es.".."ej. 3/4.
0045F0: 29 22 01 C9 00 15 00 B6 19 9F 20 1E 24 22 01 20 )"........ .$".
004600: 9F 20 1E 1E 23 01 20 C9 20 00 C1 00 FC 19 BC 0A . ..#. . .......
004610: FB 20 1A 20 01 2C 19 90 2C 0E 01 20 95 20 0E 2C . . .,..,.. . .,
004620: F5 19 20 01 20 95 20 19 80 2C F5 19 40 01 0D 00 .. . . ..,..@...
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004650: 10 F6 F5 19 0C 01 0D 00 00 61 6E 67 6C E5 EF FF .........angl...
004660: 44 F7 11 01 9F 20 1E 1C 25 01 BA 20 10 01 BF 20 D.... ..%.. ...
004670: FF 03 28 19 1F 29 FF 03 28 19 12 29 FF 03 28 19 ..(..)..(..)..(.
004680: 10 29 3B 22 53 22 01 BF 20 FF 03 28 19 17 29 FF .);"S".. ..(..).
004690: 03 28 0F 29 01 BC 20 1A 74 01 2C 19 41 2C 10 01 .(.).. .t.,.A,..
0046A0: D0 01 BF 20 22 42 22 3B 01 D1 01 BF 20 FF 03 28 ... "B";.... ..(
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0046C0: 22 31 33 33 DB 22 01 A0 20 1E B8 0B 00 6B 00 FD "133.".. ....k..
0046D0: 19 0D 00 00 78 B1 EF 1A C2 01 01 0D 00 00 79 B1 ....x.........y.
0046E0: EF 19 FE 01 0D 00 00 78 B2 EF F5 19 18 01 0D 00 .......x........
0046F0: 00 79 B2 EF 10 F6 F5 19 0C 01 0D 00 00 61 6E 67 .y...........ang
004700: 6C E5 EF F5 FF 44 F6 1F 66 66 66 26 81 01 9F 20 l....D..fff&...
004710: 1E 58 13 1C 25 01 BF 20 FF 03 28 19 1F 29 FF 03 .X..%.. ..(..)..
004720: 28 19 1D 29 FF 03 28 17 29 3B 22 32 35 31 DB 22 (..)..(.);"251."
004730: 01 9F 20 1E 1E 23 01 C9 20 00 A6 00 FE 19 BC 20 .. ..#.. ......
004740: 1A 30 01 2C 19 C0 01 20 95 20 0E 2C 19 50 01 0D .0.,... . .,.P..
004750: 00 00 78 B1 EF 1A 30 01 01 0D 00 00 79 B1 EF 19 ..x...0.....y...
004760: E0 01 0D 00 00 78 B2 EF 19 1C 01 0D 00 00 79 B2 .....x........y.
004770: EF 10 F6 F5 19 0A 01 0D 00 00 61 6E 67 6C E5 EF ..........angl..
004780: FF 44 F7 14 01 9F 20 1E 1C 25 01 94 20 0D 00 00 .D.... ..%.. ...
004790: 78 B1 F4 0D 00 00 78 B2 2C 0D 00 00 79 B1 F4 0D x.....x.,...y...
0047A0: 00 00 79 B2 01 BF 20 FF 03 28 19 16 29 FF 03 28 ..y... ..(..)..(
0047B0: 0F 29 3B FF 03 28 19 1F 29 FF 03 28 19 14 29 FF .);..(..)..(..).
0047C0: 03 28 16 29 3B 22 37 31 DB 22 3B FF 03 28 19 16 .(.);"71.";..(..
0047D0: 29 FF 03 28 0E 29 01 9F 20 1E 1E 23 01 C9 20 00 )..(.).. ..#.. .
0047E0: 57 00 77 1B 8C 20 30 2C 22 32 22 2C 22 22 2C 31 W.w.. 0,"2","",1
0047F0: 30 2C 31 34 2C 32 2C 22 61 2E 22 2C 22 20 20 20 0,14,2,"a.","
004800: 50 72 28 32 29 3D 20 20 20 2F 31 30 22 2C 31 2C Pr(2)= /10",1,
004810: 33 2C 22 22 45 68 61 79 20 32 20 64 6F 73 65 73 3,""Ehay 2 doses
004820: 22 2C 22 65 6E 20 20 45 2E 22 2C 22 20 50 72 28 ","en E."," Pr(
004830: 32 29 3D 32 2F 31 30 22 00 57 00 78 1B 8C 20 30 2)=2/10".W.x.. 0
004840: 2C 22 31 22 2C 22 22 2C 31 30 2C 31 34 2C 32 2C ,"1","",10,14,2,
004850: 22 62 2E 22 2C 22 20 20 20 50 72 28 35 29 3D 20 "b."," Pr(5)=
004860: 20 20 2F 31 30 22 2C 31 2C 33 2C 22 68 61 79 20 /10",1,3,"hay
004870: 31 20 63 69 6E 63 6F 22 2C 22 65 6E 20 20 45 2E 1 cinco","en E.
004880: 22 2C 22 20 50 72 28 35 29 3D 31 2F 31 30 22 00 "," Pr(5)=1/10".
004890: 58 00 79 1B 8C 20 30 2C 22 36 22 2C 22 22 2C 31 X.y.. 0,"6","",1
0048A0: 30 2C 31 34 2C 32 2C 22 63 2E 22 2C 22 50 72 28 0,14,2,"c.","Pr(
0048B0: 70 61 72 29 3D 20 20 20 2F 31 30 22 2C 31 2C 33 par)= /10",1,3
0048C0: 2C 22 68 61 79 20 36 20 70 61 72 65 73 22 2C 22 ,"hay 6 pares","
0048D0: 65 6E 20 20 45 2E 22 2C 22 20 50 72 28 70 61 72 en E."," Pr(par
0048E0: 29 3D 36 2F 31 30 22 00 69 00 7A 1B 8C 20 30 2C )=6/10".i.z.. 0,
0048F0: 22 34 22 2C 22 22 2C 31 30 2C 31 34 2C 32 2C 22 "4","",10,14,2,"
004900: 64 2E 22 2C 22 20 20 50 72 28 3E 35 29 3D 20 20 d."," Pr(>5)=
004910: 20 2F 31 30 22 24 CF 2C 31 2C 33 2C 22 68 61 79 /10"$.,1,3,"hay
004920: 20 34 22 2C 22 6E 75 6D 65 72 6F 73 20 6D 61 79 4","numeros may
004930: 6F 72 65 73 22 2C 22 71 75 65 20 35 20 65 6E 20 ores","que 5 en
004940: 45 2E 22 2C 22 20 50 72 28 3E 35 29 3D 34 2F 31 E."," Pr(>5)=4/1
004950: 30 22 00 69 00 7B 1B 8C 20 30 2C 22 37 22 2C 22 0".i.{.. 0,"7","
004960: 22 2C 31 30 2C 31 34 2C 32 2C 22 65 2E 22 2C 22 ",10,14,2,"e.","
004970: 20 20 50 72 28 3E 32 29 3D 20 20 20 2F 31 30 22 Pr(>2)= /10"
004980: 2C 31 2C 33 2C 22 68 61 79 20 37 22 2C 22 6E 75 ,1,3,"hay 7","nu
004990: 6D 65 72 6F 73 20 6D 61 79 6F 72 65 73 22 2C 22 meros mayores","
0049A0: 71 75 65 20 32 20 69 6E 20 45 2E 22 2C 22 20 50 que 2 in E."," P
0049B0: 72 28 3E 32 29 3D 37 2F 31 30 22 00 54 00 7C 1B r(>2)=7/10".T.|.
0049C0: 8C 20 30 2C 22 32 22 2C 22 22 2C 31 30 2C 31 34 . 0,"2","",10,14
0049D0: 2C 32 2C 22 61 2E 22 2C 22 20 20 20 50 72 28 32 ,2,"a."," Pr(2
0049E0: 29 3D 20 20 20 2F 38 22 2C 31 2C 33 2C 22 68 61 )= /8",1,3,"ha
0049F0: 79 20 32 20 64 6F 73 65 73 22 2C 22 65 6E 20 45 y 2 doses","en E
004A00: 2E 22 2C 22 20 50 72 28 32 29 3D 32 2F 38 22 00 ."," Pr(2)=2/8".
004A10: 54 00 7D 1B 8C 20 30 CF 13 FF FF FF FF 11 D4 08 T.}.. 0.........
004A20: 6A 04 6A 04 6A 04 D4 08 00 10 08 0F 00 07 01 00 j.j.j...........
004A30: 2C 4D 4F 44 45 00 00 00 00 00 00 00 00 00 00 00 ,MODE...........
004A40: 00 08 00 01 00 08 70 39 00 9D 8A 00 00 00 00 00 ......p9........
004A50: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004A60: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004A70: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004A80: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004A90: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004AA0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004AB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004AC0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004AD0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004AE0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004AF0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004B00: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004B10: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004B20: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
004B30: 00 5F D2 FF FF FF FF 11 D4 08 6A 04 6A 04 6A 04 ._........j.j.j.
004B40: D4 08 00 10 08 6A 0A 15 08 00 16 2C 22 31 22 2C .....j.....,"1",
004B50: 22 22 2C 31 30 2C 31 34 2C 32 2C 22 62 2E 22 2C "",10,14,2,"b.",
004B60: 22 20 20 20 50 72 28 35 29 3D 20 20 20 2F 38 22 " Pr(5)= /8"
004B70: 2C 31 2C 33 2C 22 68 61 79 20 31 20 63 69 6E 63 ,1,3,"hay 1 cinc
004B80: 6F 22 2C 22 65 6E 20 45 2E 22 2C 22 20 50 72 28 o","en E."," Pr(
004B90: 35 29 3D 31 2F 38 22 00 5D 00 7E 1B 8C 20 30 2C 5)=1/8".].~.. 0,
004BA0: 22 33 22 2C 22 22 2C 31 30 2C 31 34 2C 32 2C 22 "3","",10,14,2,"
004BB0: 63 2E 22 2C 22 50 72 28 70 61 72 29 3D 20 20 20 c.","Pr(par)=
004BC0: 2F 38 22 2C 31 2C 33 2C 22 68 61 79 20 33 20 6E /8",1,3,"hay 3 n
004BD0: 75 6D 65 72 6F 73 22 2C 22 70 61 72 65 73 20 65 umeros","pares e
004BE0: 6E 20 45 2E 22 2C 22 20 50 72 28 70 61 72 29 3D n E."," Pr(par)=
004BF0: 33 2F 38 22 00 68 00 7F 1B 8C 20 30 2C 22 30 22 3/8".h.... 0,"0"
004C00: 2C 22 22 2C 31 30 2C 31 34 2C 32 2C 22 64 2E 22 ,"",10,14,2,"d."
004C10: 2C 22 20 20 50 72 28 3E 35 29 3D 20 20 20 2F 38 ," Pr(>5)= /8
004C20: 22 2C 31 2C 33 2C 22 6E 6F 20 68 61 79 22 2C 22 ",1,3,"no hay","
004C30: 6E 75 6D 65 72 6F 73 20 6D 61 79 6F 72 65 73 22 numeros mayores"
004C40: 2C 22 71 75 65 20 35 20 65 6E 20 C2 A1 45 2E 22 ,"que 5 en ..E."
004C50: 2C 22 20 50 72 28 3E 35 29 3D 30 2F 38 22 00 67 ," Pr(>5)=0/8".g
004C60: 00 80 1B 8C 20 30 2C 22 33 22 2C 22 22 2C 31 30 .... 0,"3","",10
004C70: 2C 31 34 2C 32 2C 22 65 2E 22 2C 22 20 20 50 72 ,14,2,"e."," Pr
004C80: 28 3E 32 29 3D 20 20 20 2F 38 22 2C 31 2C 33 2C (>2)= /8",1,3,
004C90: 22 68 61 79 20 33 22 2C 22 6E 75 6D 65 72 6F 73 "hay 3","numeros
004CA0: 20 6D 61 79 6F 72 65 73 22 2C 22 71 75 65 20 32 mayores","que 2
004CB0: 20 69 6E 20 45 2E 22 2C 22 20 50 72 28 3E 32 29 in E."," Pr(>2)
004CC0: 3D 33 2F 38 22 00 7F 00 81 1B 8C 20 31 2C 22 33 =3/8"...... 1,"3
004CD0: 2F 37 22 2C 22 22 2C 31 31 2C 31 34 2C 35 2C 22 /7","",11,14,5,"
004CE0: 61 2E 22 2C 22 50 72 28 33 20 6F 20 35 29 3D 22 a.","Pr(3 o 5)="
004CF0: 2C 22 22 2C 22 55 53 41 20 66 72 61 63 69 6F 6E ,"","USA fracion
004D00: 65 73 22 2C 22 45 6A 2E 20 35 2F 39 2E 22 2C 32 es","Ej. 5/9.",2
004D10: 2C 32 2C 22 20 50 72 28 33 20 6F 20 35 29 22 2C ,2," Pr(3 o 5)",
004D20: 22 3D 50 72 28 33 29 2B 50 72 28 35 29 22 2C 32 "=Pr(3)+Pr(5)",2
004D30: 2C 22 3D 31 2F 37 20 2B 20 32 2F 37 22 2C 22 3D ,"=1/7 + 2/7","=
004D40: 33 2F 37 22 00 7F 00 82 1B 8C 20 31 2C DE 1B 22 3/7"...... 1,.."
004D50: 32 2F 37 22 2C 22 22 2C 31 31 2C 31 34 2C 35 2C 2/7","",11,14,5,
004D60: 22 62 2E 22 2C 22 50 72 28 32 20 6F 20 33 29 3D "b.","Pr(2 o 3)=
004D70: 22 2C 22 22 2C 22 55 73 61 20 66 72 61 63 69 6F ","","Usa fracio
004D80: 6E 65 73 22 2C 22 45 6A 2E 20 35 2F 39 2E 22 2C nes","Ej. 5/9.",
004D90: 32 2C 32 2C 22 20 50 72 28 32 20 6F 20 33 29 22 2,2," Pr(2 o 3)"
004DA0: 2C 22 3D 50 72 28 32 29 2B 50 72 28 33 29 22 2C ,"=Pr(2)+Pr(3)",
004DB0: 32 2C 22 3D 31 2F 37 20 2B 20 31 2F 37 22 2C 22 2,"=1/7 + 1/7","
004DC0: 3D 32 2F 37 22 00 7F 00 83 1B 8C 20 31 2C 22 33 =2/7"...... 1,"3
004DD0: 2F 37 22 2C 22 22 2C 31 31 2C 31 34 2C 35 2C 22 /7","",11,14,5,"
004DE0: 63 2E 22 2C 22 50 72 28 35 20 6F 20 37 29 3D 22 c.","Pr(5 o 7)="
004DF0: 2C 22 22 2C 22 55 53 41 20 66 72 61 63 69 6F 6E ,"","USA fracion
004E00: 65 73 22 2C 22 45 6A 2E 20 35 2F 39 2E 22 2C 32 es","Ej. 5/9.",2
004E10: 2C 32 2C 22 20 50 72 28 35 20 6F 20 37 29 22 2C ,2," Pr(5 o 7)",
004E20: 22 3D 50 72 28 35 29 2B 50 72 28 37 29 22 2C 32 "=Pr(5)+Pr(7)",2
004E30: 2C 22 3D 32 2F 37 20 2B 20 31 2F 37 22 2C 22 3D ,"=2/7 + 1/7","=
004E40: 33 2F 37 22 00 83 00 84 1B 8C 20 31 2C 22 36 E2 3/7"...... 1,"6.
004E50: 2E 2F 31 31 22 2C 22 22 2C 31 31 2C 31 34 2C 35 ./11","",11,14,5
004E60: 2C 22 61 2E 22 2C 22 50 72 28 33 20 6F 20 35 29 ,"a.","Pr(3 o 5)
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004E80: 6F 6E 65 73 22 2C 22 45 6A 2E 20 35 2F 39 2E 22 ones","Ej. 5/9."
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005230: 50 72 28 31 6F 2E 20 64 65 20 6D 65 6E 74 61 22 Pr(1o. de menta"
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006C20: 1D 18 2C 1E 1E 18 2C 1E 1F 18 2C 1E 20 18 2C 1E ..,...,...,. .,.
006C30: 21 18 2C 1E 22 18 2C 1E 23 18 2C 1E 24 18 00 49 !.,.".,.#.,.$..I
006C40: 00 24 1C B2 20 0D 00 00 EE 20 A0 20 1E 25 18 2C .$.. .... . .%.,
006C50: 1E 26 18 2C 1E 27 18 2C 1E 28 18 2C 1E 29 18 2C .&.,.'.,.(.,.).,
006C60: 1E 2A 18 2C 1E 2B 18 2C 1E 2C 18 2C 1E 2D 18 2C .*.,.+.,.,.,.-.,
006C70: 1E 2E 18 2C 1E 2F 18 2C 1E 30 18 2C 1E 31 18 2C ...,./.,.0.,.1.,
006C80: 1E 32 18 2C 1E 33 18 00 51 00 25 1C B2 20 0D 00 .2.,.3..Q.%.. ..
006C90: 00 EE 20 A0 20 1E 39 18 2C 1E 3A 18 2C 1E 3B 18 .. . .9.,.:.,.;.
006CA0: 2C 1E 3C 18 2C 1E 3D 18 2C 1E 3E 18 2C 1E 3F 18 ,.<.,.=.,.>.,.?.
006CB0: 2C 1E 40 18 2C 1E 41 18 2C 1E 42 18 2C 1E 43 18 ,.@.,.A.,.B.,.C.
006CC0: 2C 1E 44 18 2C 1E 45 18 2C 1E 46 18 2C 1E 47 18 ,.D.,.E.,.F.,.G.
006CD0: 2C 1E 48 18 2C 1E 49 18 00 51 00 26 1C B2 20 0D ,.H.,.I..Q.&.. .
006CE0: 00 00 EE 20 A0 20 1E 4D 18 2C 1E 4E 18 2C 1E 4F ... . .M.,.N.,.O
006CF0: 18 2C 1E 50 18 2C 1E 51 18 2C 1E 52 18 2C 1E 53 .,.P.,.Q.,.R.,.S
006D00: 18 2C 1E 54 18 2C 1E 55 18 2C 1E 56 18 2C 1E 57 .,.T.,.U.,.V.,.W
006D10: 18 2C 1E 58 18 2C 1E 59 18 2C 1E 51 C5 5A 18 2C .,.X.,.Y.,.Q.Z.,
006D20: 1E 5B 18 2C 1E 5C 18 2C 1E 5D 18 00 26 00 52 1C .[.,.\.,.]..&.R.
006D30: B2 20 0D 00 00 71 F5 20 A0 20 1E 53 1C 2C 1E 54 . ...q. . .S.,.T
006D40: 1C 2C 1E 55 1C 2C 1E 56 1C 2C 1E 57 1C 2C 1E 58 .,.U.,.V.,.W.,.X
006D50: 1C 00 31 00 53 1C B2 20 0D 00 00 EE 20 A0 20 1E ..1.S.. .... . .
006D60: 79 19 2C 1E 7A 19 2C 1E 7B 19 2C 1E 7C 19 2C 1E y.,.z.,.{.,.|.,.
006D70: 7D 19 2C 1E 7E 19 2C 1E 7F 19 2C 1E 80 19 2C 1E }.,.~.,...,...,.
006D80: 81 19 00 5D 00 56 1C B2 20 0D 00 00 EE 20 A0 20 ...].V.. .... .
006D90: 1E B5 19 2C 1E B6 19 2C 1E B7 19 2C 1E B8 19 2C ...,...,...,...,
006DA0: 1E B9 19 2C 1E 2A 18 2C 1E BB 19 2C 1E BC 19 2C ...,.*.,...,...,
006DB0: 1E BD 19 2C 1E BE 19 2C 1E 2F 18 2C 1E C0 19 2C ...,...,./.,...,
006DC0: 1E C1 19 2C 1E C2 19 2C 1E C3 19 2C 1E C4 19 2C ...,...,...,...,
006DD0: 1E C5 19 2C 1E C6 19 2C 1E C7 19 2C 1E C8 19 00 ...,...,...,....
006DE0: 25 00 57 1C B2 20 0D 00 00 EE 20 A0 20 1E FB 19 %.W.. .... . ...
006DF0: 2C 1E FC 19 2C 1E FD 19 2C 1E FE 19 2C 1E FF 19 ,...,...,...,...
006E00: 2C 1E 00 1A 00 3D 00 58 1C B2 20 0D 00 00 EE 20 ,....=.X.. ....
006E10: A0 20 1E 19 1A 2C 1E 1A 1A 2C 1E 1B 1A 44 31 2C . ...,...,...D1,
006E20: 1E 1C 1A 2C 1E 1D 1A 2C 1E 1E 1A 2C 1E 1F 1A 2C ...,...,...,...,
006E30: 1E 20 1A 2C 1E 21 1A 2C 1E 22 1A 2C 1E 23 1A 2C . .,.!.,.".,.#.,
006E40: 1E 24 1A 00 26 00 84 1C B2 20 0D 00 00 71 F5 20 .$..&.... ...q.
006E50: A0 20 1E 85 1C 2C 1E 86 1C 2C 1E 87 1C 2C 1E 88 . ...,...,...,..
006E60: 1C 2C 1E 89 1C 2C 1E 8A 1C 00 0C 00 85 1C C7 20 .,...,.........
006E70: 1E 71 17 01 C9 00 0C 00 86 1C C7 20 1E 72 17 01 .q......... .r..
006E80: C9 00 0C 00 87 1C C7 20 1E 73 17 01 C9 00 0D 00 ....... .s......
006E90: 88 1C C7 20 1E 74 17 01 C9 20 00 0C 00 89 1C C7 ... .t... ......
006EA0: 20 1E 75 17 01 C9 00 0C 00 8A 1C C7 20 1E 76 17 .u......... .v.
006EB0: 01 C9 00 26 00 E8 1C B2 20 0D 00 00 71 F5 20 A0 ...&.... ...q. .
006EC0: 20 1E E9 17 2C 1E FD 17 2C 1E 11 18 2C 1E 25 18 ...,...,...,.%.
006ED0: 2C 1E 39 18 2C 1E 4D 18 00 26 00 4C 1D B2 20 0D ,.9.,.M..&.L.. .
006EE0: 00 00 71 F5 20 A0 20 1E 4D 1D 2C 1E 58 1D 2C 1E ..q. . .M.,.X.,.
006EF0: 5F 1D 2C 1E 73 1D 2C 1E 83 1D 2C 1E 88 1D 00 35 _.,.s.,...,....5
006F00: 00 4D 1D B2 20 0D 00 00 EE 20 A0 20 1E 4E 1D 2C .M.. .... . .N.,
006F10: 1E 4F 1D 2C 1E 50 1D 2C 1E 51 1D 2C 1E 52 1D 1C .O.,.P.,.Q.,.R..
006F20: FC FF FF FF FF 11 D4 08 6A 04 6A 04 6A 04 D4 08 ........j.j.j...
006F30: 00 10 08 0F 00 07 01 00 2C 4D 4F 44 45 00 00 00 ........,MODE...
006F40: 00 00 00 00 00 00 00 00 00 0C 00 01 00 08 70 59 ..............pY
006F50: 00 9D 8A 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006F60: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006F70: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006F80: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006F90: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006FA0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006FB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006FC0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006FD0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006FE0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
006FF0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007000: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007010: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007020: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007030: 00 00 00 00 00 00 00 00 00 09 8F FF FF FF FF 11 ................
007040: D4 08 6A 04 6A 04 6A 04 D4 08 00 10 08 6D 0A 15 ..j.j.j......m..
007050: 08 00 16 2C 1E 53 1D 2C 1E 54 1D 2C 1E 55 1D 2C ...,.S.,.T.,.U.,
007060: 1E 56 1D 2C 1E 57 1D 00 0C 00 4E 1D C7 20 1E 77 .V.,.W....N.. .w
007070: 1B 01 C9 00 0C 00 4F 1D C7 20 1E 78 1B 01 C9 00 ......O.. .x....
007080: 0C 00 50 1D C7 20 1E 79 1B 01 C9 00 0C 00 51 1D ..P.. .y......Q.
007090: C7 20 1E 7A 1B 01 C9 00 0C 00 52 1D C7 20 1E 7B . .z......R.. .{
0070A0: 1B 01 C9 00 0C 00 53 1D C7 20 1E 7C 1B 01 C9 00 ......S.. .|....
0070B0: 0C 00 54 1D C7 20 1E 7D 1B 01 C9 00 0C 00 55 1D ..T.. .}......U.
0070C0: C7 20 1E 7E 1B 01 C9 00 0C 00 56 1D C7 20 1E 7F . .~......V.. ..
0070D0: 1B 01 C9 00 0C 00 57 1D C7 20 1E 80 1B 01 C9 00 ......W.. ......
0070E0: 25 00 58 1D B2 20 0D 00 00 EE 20 A0 20 1E 59 1D %.X.. .... . .Y.
0070F0: 2C 1E 5A 1D 2C 1E 5B 1D 2C 1E 5C 1D 2C 1E 5D 1D ,.Z.,.[.,.\.,.].
007100: 2C 1E 5E 1D 00 0C 00 59 1D C7 20 1E 81 1B 01 C9 ,.^....Y.. .....
007110: 00 0C 00 5A 1D C7 20 1E 82 1B 01 C9 00 0C 00 5B ...Z.. ........[
007120: 1D C7 20 1E 83 1B 01 C9 00 0C 00 5C 1D C7 20 1E .. ........\.. .
007130: 84 1B 01 C9 00 0C 00 5D 1D C7 20 1E 85 1B 01 C9 .......].. .....
007140: 00 0C 00 5E 1D C7 20 1E 86 1B 01 C9 00 59 00 5F ...^.. ......Y._
007150: 1D B2 20 EA 9B 0D 00 00 EE 20 A0 20 1E 60 1D 2C .. ...... . .`.,
007160: 1E 61 1D 2C 1E 62 1D 2C 1E 63 1D 2C 1E 64 1D 2C .a.,.b.,.c.,.d.,
007170: 1E 65 1D 2C 1E 66 1D 2C 1E 67 1D 2C 1E 68 1D 2C .e.,.f.,.g.,.h.,
007180: 1E 69 1D 2C 1E 6A 1D 2C 1E 6B 1D 2C 1E 6C 1D 2C .i.,.j.,.k.,.l.,
007190: 1E 6D 1D 2C 1E 6E 1D 2C 1E 6F 1D 2C 1E 70 1D 2C .m.,.n.,.o.,.p.,
0071A0: 1E 71 1D 2C 1E 72 1D 00 0C 00 60 1D C7 20 1E 87 .q.,.r....`.. ..
0071B0: 1B 01 C9 00 0C 00 61 1D C7 20 1E 88 1B 01 C9 00 ......a.. ......
0071C0: 0C 00 62 1D C7 20 1E 89 1B 01 C9 00 0C 00 63 1D ..b.. ........c.
0071D0: C7 20 1E 8A 1B 01 C9 00 0C 00 64 1D C7 20 1E 8B . ........d.. ..
0071E0: 1B 01 C9 00 0C 00 65 1D C7 20 1E 8C 1B 01 C9 00 ......e.. ......
0071F0: 0C 00 66 1D C7 20 1E 8D 1B 01 C9 00 0C 00 67 1D ..f.. ........g.
007200: C7 20 1E 8E 1B 01 C9 00 0C 00 68 1D C7 20 1E 8F . ........h.. ..
007210: 1B 01 C9 00 0C 00 69 1D C7 20 1E 90 1B 01 C9 00 ......i.. ......
007220: 0C 00 6A 1D C7 20 1E 91 1B 01 C9 00 0C 00 6B 1D ..j.. ........k.
007230: C7 20 1E 92 1B 01 C9 00 0C 00 6C 1D C7 20 1E 93 . ........l.. ..
007240: 1B 01 C9 00 0C 00 6D 1D C7 20 1E 94 1B 01 C9 00 ......m.. ......
007250: 0C 00 6E 1D C7 B5 23 20 1E 95 1B 01 C9 00 0C 00 ..n...# ........
007260: 6F 1D C7 20 1E 96 1B 01 C9 00 0C 00 70 1D C7 20 o.. ........p..
007270: 1E 97 1B 01 C9 00 0C 00 71 1D C7 20 1E 98 1B 01 ........q.. ....
007280: C9 00 0C 00 72 1D C7 20 1E 99 1B 01 C9 00 49 00 ....r.. ......I.
007290: 73 1D B2 20 0D 00 00 EE 20 A0 20 1E 74 1D 2C 1E s.. .... . .t.,.
0072A0: 75 1D 2C 1E 76 1D 2C 1E 77 1D 2C 1E 78 1D 2C 1E u.,.v.,.w.,.x.,.
0072B0: 79 1D 2C 1E 7A 1D 2C 1E 7B 1D 2C 1E 7C 1D 2C 1E y.,.z.,.{.,.|.,.
0072C0: 7D 1D 2C 1E 7E 1D 2C 1E 7F 1D 2C 1E 80 1D 2C 1E }.,.~.,...,...,.
0072D0: 81 1D 2C 1E 82 1D 00 0C 00 74 1D C7 20 1E 9A 1B ..,......t.. ...
0072E0: 01 C9 00 0C 00 75 1D C7 20 1E 9B 1B 01 C9 00 0C .....u.. .......
0072F0: 00 76 1D C7 20 1E 9C 1B 01 C9 00 0C 00 77 1D C7 .v.. ........w..
007300: 20 1E 9D 1B 01 C9 00 0C 00 78 1D C7 20 1E 9E 1B ........x.. ...
007310: 01 C9 00 0C 00 79 1D C7 20 1E 9F 1B 01 C9 00 0C .....y.. .......
007320: 00 7A 1D C7 20 1E A0 1B 01 C9 00 0C 00 7B 1D C7 .z.. ........{..
007330: 20 1E A1 1B 01 C9 00 0C 00 7C 1D C7 20 1E A2 1B ........|.. ...
007340: 01 C9 00 0C 00 7D 1D C7 20 1E A3 1B 01 C9 00 0C .....}.. .£.....
007350: 00 7E 1D C7 20 1E A4 92 53 1B 01 C9 00 0C 00 7F .~.. ...S.......
007360: 1D C7 20 1E A5 1B 01 C9 00 0C 00 80 1D C7 20 1E .. ........... .
007370: A6 1B 01 C9 00 0C 00 81 1D C7 20 1E A7 1B 01 C9 .......... .....
007380: 00 0C 00 82 1D C7 20 1E A8 1B 01 C9 00 1D 00 83 ...... .........
007390: 1D B2 20 0D 00 00 EE 20 A0 20 1E 84 1D 2C 1E 85 .. .... . ...,..
0073A0: 1D 2C 1E 86 1D 2C 1E 87 1D 00 0C 00 84 1D C7 20 .,...,.........
0073B0: 1E A9 1B 01 C9 00 0C 00 85 1D C7 20 1E AB 1B 01 ........... ....
0073C0: C9 00 0C 00 86 1D C7 20 1E AD 1B 01 C9 00 0C 00 ....... ........
0073D0: 87 1D C7 20 1E AF 1B 01 C9 00 3D 00 88 1D B2 20 ... ......=....
0073E0: 0D 00 00 EE 20 A0 20 1E 89 1D 2C 1E 8A 1D 2C 1E .... . ...,...,.
0073F0: 8B 1D 2C 1E 8C 1D 2C 1E 8D 1D 2C 1E 8E 1D 2C 1E ..,...,...,...,.
007400: 8F 1D 2C 1E 90 1D 2C 1E 91 1D 2C 1E 92 1D 2C 1E ..,...,...,...,.
007410: 93 1D 2C 1E 94 1D 00 0C 00 89 1D C7 20 1E B0 1B ..,......... ...
007420: 01 C9 00 0C 00 8A 1D C7 20 1E B1 1B 01 C9 00 0C ........ .......
007430: 00 8B 1D C7 20 1E B2 1B 01 C9 00 0C 00 8C 1D C7 .... ...........
007440: 20 1E B3 1B 01 C9 00 0C 00 8D 1D C7 20 1E B4 1B ........... ...
007450: 01 C9 00 0C 00 8E 1D C7 20 A0 50 1E B5 1B 01 C9 ........ .P.....
007460: 00 0C 00 8F 1D C7 20 1E B6 1B 01 C9 00 0C 00 90 ...... .........
007470: 1D C7 20 1E B7 1B 01 C9 00 0C 00 91 1D C7 20 1E .. ........... .
007480: B8 1B 01 C9 00 0C 00 92 1D C7 20 1E B9 1B 01 C9 .......... .....
007490: 00 0C 00 93 1D C7 20 1E BA 1B 01 C9 00 0C 00 94 ...... .........
0074A0: 1D C7 20 1E BB 1B 01 C9 00 06 00 DC 1E C5 00 12 .. .............
0074B0: 00 E6 1E A1 20 FF 43 F2 22 22 20 EB 20 1E E6 1E .... .C."" . ...
0074C0: 00 2C 00 EB 1E BF 20 FF 03 28 19 1F 29 FF 03 28 .,.... ..(..)..(
0074D0: 0F 29 FF 03 28 10 29 FF 03 28 19 8F 29 01 03 00 .)..(.)..(..)...
0074E0: 00 E8 EF 22 22 01 0D 00 00 E3 EF 0E 00 1C 00 04 ...""...........
0074F0: 1F 03 00 00 E9 EF FF 43 01 A1 20 03 00 00 E9 EF .......C.. .....
007500: 22 22 20 EB 20 1E 04 1F 00 21 00 0E 1F A1 20 03 "" . ....!.... .
007510: 00 00 E9 EF FF 03 28 19 0D 29 20 FA 20 0D 00 00 ......(..) . ...
007520: E3 EF 0E 20 EB 20 1E 04 1F 00 16 00 18 1F A1 20 ... . .........
007530: 03 00 00 E9 EF FF 03 28 19 0D 29 20 EB 20 C9 00 .......(..) . ..
007540: 26 00 19 1F A1 20 FF 01 28 03 00 00 E9 29 F1 19 &.... ..(....)..
007550: 20 20 FC 20 FF 01 28 03 00 00 E9 EA 95 29 EE 19 . ..(......)..
007560: C8 20 EB 20 1E 04 1F 00 21 00 22 1F A1 20 03 00 . . ....!.".. ..
007570: 00 E9 EF FF 03 28 19 7F 29 20 FA 20 0D 00 00 E3 .....(..) . ....
007580: EF 0E 20 EB 20 1E 04 1F 00 3F 00 2C 1F A1 20 03 .. . ....?.,.. .
007590: 00 00 E9 EF FF 03 28 19 7F 29 20 EB 20 03 00 00 ......(..) . ...
0075A0: E8 EF FF 75 28 03 00 00 E8 2C FF 0E 28 03 00 00 ...u(....,..(...
0075B0: E8 29 F5 0F 29 01 0D 00 00 E3 EF 0D 00 00 E3 F5 .)..)...........
0075C0: 0F 01 A0 20 1E 4A 1F 00 14 00 36 1F A1 20 0D 00 ... .J....6.. ..
0075D0: 00 E3 EE 19 1C 20 EB 20 1E 04 1F 00 3E 00 40 1F ..... . ....>.@.
0075E0: A1 20 0D 00 00 71 F5 EF 14 20 FA 20 0D 00 00 EE . ...q... . ....
0075F0: F1 13 20 EB 20 03 00 00 E8 EF 03 00 00 E8 F4 FF .. . ...........
007600: 1C 28 03 00 00 E9 29 20 01 97 20 03 00 00 E8 EF .(....) .. .....
007610: 03 00 00 E8 F4 03 00 00 E9 00 10 00 41 1F 0D 00 ............A...
007620: 00 E3 EF 0D 00 00 E3 F4 0F 00 24 00 4A 1F BF 20 ..........$.J..
007630: FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 10 29 ..(..)..(.)..(.)
007640: 03 00 00 E8 FF 03 28 19 8F 29 22 20 22 00 0A 00 ......(..)" "...
007650: 54 1F A0 20 1E 04 1F 00 12 00 49 21 A1 62 FE 20 T.. ......I!.b.
007660: FF 43 F2 22 22 20 EB 20 1E 49 21 00 3B 00 4A 21 .C."" . .I!.;.J!
007670: 03 00 00 C9 EF FF 43 01 A1 20 03 00 00 C9 EF 22 ......C.. ....."
007680: 22 20 EB 20 1E 4A 21 20 01 97 20 A1 20 03 00 00 " . .J! .. . ...
007690: C9 EF 22 4E 22 20 FC 20 03 00 00 C9 EF 22 6E 22 .."N" . ....."n"
0076A0: 20 EB 20 1E 57 21 00 20 00 4B 21 A1 20 03 00 00 . .W!. .K!. ...
0076B0: C9 F2 22 53 22 20 FA 20 03 00 00 C9 F2 22 73 22 .."S" . ....."s"
0076C0: 20 EB 20 1E 4A 21 00 A2 00 4C 21 CC 20 0F 2C 19 . .J!...L!. .,.
0076D0: 34 2C 19 0A 01 20 0D 00 00 53 D7 EF 12 01 20 9F 4,... ...S.... .
0076E0: 20 1E F0 23 01 20 BF 20 FF 03 28 19 1F 29 FF 03 ..#. . ..(..)..
0076F0: 28 0F 29 FF 03 28 12 29 3B 22 20 4C 61 20 50 52 (.)..(.);" La PR
007700: 4F 42 41 42 49 4C 49 44 41 44 20 64 65 20 75 6E OBABILIDAD de un
007710: 20 73 75 63 65 73 6F 20 73 65 64 65 66 69 6E 65 suceso sedefine
007720: 20 63 6F 6D 6F 3A 22 3B FF 03 28 19 16 29 FF 03 como:";..(..)..
007730: 28 0F 29 3B FF 03 28 19 1F 29 FF 03 28 19 0F 29 (.);..(..)..(..)
007740: FF 03 28 14 29 3B 22 50 72 3D 66 22 3B FF 03 28 ..(.);"Pr=f";..(
007750: 16 29 3B 22 5F 22 3B FF 03 28 19 16 29 FF 03 86 .);"_";..(..)...
007760: 7F 28 0E 29 01 9F 20 1E BD 0B 00 80 00 4D 21 0D .(.).. ......M!.
007770: 00 00 53 D7 EF 12 01 20 9F 20 1E F0 23 01 20 BF ..S.... . ..#. .
007780: 20 FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 12 ..(..)..(.)..(.
007790: 29 3B 22 65 6A 2E 20 73 69 20 73 65 6C 65 63 69 );"ej. si seleci
0077A0: 6F 6E 61 6D 6F 73 20 75 6E 20 6E 75 6D 65 72 6F onamos un numero
0077B0: 20 61 6C 61 7A 61 72 20 64 65 20 65 6E 74 72 65 alazar de entre
0077C0: 3A 22 01 BF 01 BF 22 20 20 20 20 31 2C 32 2C 33 :"...." 1,2,3
0077D0: 2C 33 2C 33 2C 33 2C 34 2C 35 2C 35 2C 37 2C 38 ,3,3,3,4,5,5,7,8
0077E0: 2C 39 2C 22 01 9F 20 1E C0 0B 00 9D 00 4E 21 BF ,9,".. ......N!.
0077F0: 20 FF 03 28 19 1F 29 FF 03 28 17 29 FF 03 28 15 ..(..)..(.)..(.
007800: 29 3B 22 33 2C 33 2C 33 2C 33 22 3B FF 03 28 19 );"3,3,3,3";..(.
007810: 1F 29 FF 03 28 0F 29 FF 03 28 19 0E 29 3B 22 20 .)..(.)..(..);"
007820: 41 6E 61 6C 6F 67 61 6D 65 6E 74 65 3A 22 01 BF Analogamente:"..
007830: 22 20 20 20 20 50 72 28 32 29 3D 5F D2 20 20 20 " Pr(2)=_.
007840: 79 20 20 50 72 28 35 29 3D 5F D3 22 3B FF 03 28 y Pr(5)=_.";..(
007850: 19 1F 29 FF 03 28 13 29 FF 03 28 19 10 29 3B 22 ..)..(.)..(..);"
007860: 20 9A F6 FF FF FF FF 11 D4 08 6A 04 6A 04 6A 04 .........j.j.j.
007870: D4 08 00 10 08 10 00 07 01 00 2C 4D 4F 44 45 00 ..........,MODE.
007880: 00 00 00 00 00 00 00 00 00 00 00 0D 00 01 00 08 ................
007890: 70 61 00 9D 8A 00 00 00 00 00 00 00 00 00 00 00 pa..............
0078A0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0078B0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0078C0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0078D0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0078E0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0078F0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007900: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007910: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007920: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007930: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007940: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007950: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007960: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
007970: 00 00 00 00 00 00 00 00 00 00 00 0E 1E FF FF FF ................
007980: FF 11 D4 08 6A 04 6A 04 6A 04 D4 08 00 10 08 6D ....j.j.j......m
007990: 0A 15 08 00 16 20 20 20 20 20 31 32 22 3B FF 03 ..... 12";..
0079A0: 28 19 1F 29 FF 03 28 19 13 29 FF 03 28 19 10 29 (..)..(..)..(..)
0079B0: 3B 22 20 20 20 20 20 20 31 32 22 00 A9 00 4F 21 ;" 12"...O!
0079C0: 9F 20 1E 1E 23 01 20 0D 00 00 53 D7 EF 19 0A 01 . ..#. ...S.....
0079D0: 20 9F 20 1E F0 23 01 20 BF 20 FF 03 28 19 1F 29 . ..#. . ..(..)
0079E0: FF 03 28 13 29 FF 03 28 15 29 3B 22 31 2C 32 2C ..(.)..(.);"1,2,
0079F0: 33 2C 33 2C 33 2C 33 2C 34 2C 35 2C 35 2C 37 2C 3,3,3,3,4,5,5,7,
007A00: 38 2C 39 22 3B FF 03 28 19 1F 29 FF 03 28 0F 29 8,9";..(..)..(.)
007A10: FF 03 28 17 29 3B 22 4C 61 20 70 72 6F 62 61 62 ..(.);"La probab
007A20: 69 6C 69 64 61 64 20 64 65 20 71 75 65 20 73 65 ilidad de que se
007A30: 61 20 70 61 72 3A 20 20 20 20 20 20 20 20 50 72 a par: Pr
007A40: 28 70 61 72 29 3D 5F D4 22 3B FF 03 28 19 1F 29 (par)=_.";..(..)
007A50: FF 03 28 19 0D 29 FF 03 28 19 0B 29 3B 22 20 20 ..(..)..(..);"
007A60: 20 31 32 22 00 91 00 50 21 9F 20 1E 1E 23 01 20 12"...P!. ..#.
007A70: BF 20 FF 03 28 19 1F 29 FF 03 28 13 29 FF 03 28 . ..(..)..(.)..(
007A80: 15 29 3B 22 31 2C 32 2C 33 2C 33 2C 33 2C 33 2C .);"1,2,3,3,3,3,
007A90: 34 2C 35 2C 35 02 06 2C 37 2C 38 2C 39 22 3B FF 4,5,5..,7,8,9";.
007AA0: 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 19 0C 29 .(..)..(.)..(..)
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00A950: 74 68 65 74 E1 20 EB 20 BC 20 0D 00 00 78 F0 2C thet. . . ...x.,
00A960: 0D 00 00 79 F0 2C 0D 00 00 63 6F EC 20 01 97 20 ...y.,...co. ..
00A970: 94 20 0D 00 00 78 F0 2C 0D 00 00 79 F0 2C 0D 00 . ...x.,...y.,..
00A980: 00 63 6F EC 00 0B 00 48 26 B0 20 0D 00 00 EB 00 .co....H&. .....
00A990: 2B 00 52 26 A1 20 0D 00 00 66 67 F8 EF 0F 20 EB +.R&. ...fg... .
00A9A0: 20 94 20 0D 00 00 78 B1 F4 0D 00 00 78 B2 2C 0D . ...x.....x.,.
00A9B0: 00 00 79 B1 F4 0D 00 00 79 B2 00 06 00 5C 26 C9 ..y.....y....\&.
00A9C0: 00 2E 00 AC 26 0D 00 00 78 B1 EF 0D 00 00 78 B1 ....&...x.....x.
00A9D0: F6 10 01 0D 00 00 79 B1 EF 0D 00 00 79 B1 F6 10 ......y.....y...
00A9E0: 01 DE AB 0D 00 00 72 E4 EF 0D 00 00 72 E4 F6 10 ......r.....r...
00A9F0: 00 52 00 B6 26 9E 20 0D 00 00 F4 EF 0E 20 EC 20 .R..&. ...... .
00AA00: 10 F6 FF 44 20 E6 20 FF 44 F7 19 0A 01 0D 00 00 ...D . .D.......
00AA10: 78 F0 EF 0D 00 00 78 B1 F4 0D 00 00 52 C4 F6 FF x.....x.....R...
00AA20: 05 28 0D 00 00 F4 29 01 0D 00 00 79 F0 EF 0D 00 .(....)....y....
00AA30: 00 79 B1 F4 0D 00 00 52 C4 F6 FF 15 28 0D 00 00 .y.....R....(...
00AA40: F4 29 00 2E 00 C0 26 A1 20 0D 00 00 F4 EF 0E 20 .)....&. ......
00AA50: EB 20 BC 20 0D 00 00 78 F0 2C 0D 00 00 79 F0 20 . . ...x.,...y.
00AA60: 01 97 20 94 20 0D 00 00 78 F0 2C 0D 00 00 79 F0 .. . ...x.,...y.
00AA70: 00 0D 00 CA 26 B0 20 0D 00 00 F4 01 C9 00 00 00 ....&. .........
00AA80: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AA90: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AAA0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AAB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AAC0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AAD0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AAE0: 00 00 00 8D 29 FF FF FF FF 11 D4 08 6A 04 6A 04 ....).......j.j.
00AAF0: 6A 04 D4 08 00 10 08 0F 00 07 01 00 2C 4D 4F 44 j...........,MOD
00AB00: 55 4C 4F 2D 46 00 00 00 00 00 00 00 00 01 FF 01 ULO-F...........
00AB10: 83 07 70 01 FF 83 07 00 00 00 00 00 00 00 00 00 ..p.............
00AB20: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB30: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB40: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB50: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB60: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB70: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB80: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00AB90: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00ABA0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00ABB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00ABC0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00ABD0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00ABE0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00ABF0: 00 00 00 00 00 00 00 00 00 00 00 00 00 98 31 FF ..............1.
00AC00: FF FF FF 11 D4 08 6A 04 6A 04 6A 04 D4 08 00 10 ......j.j.j.....
00AC10: 08 D6 27 15 08 00 16 4C 00 01 00 83 20 1C 00 BB ..'....L.... ...
00AC20: 01 A4 20 8D 20 19 26 2C 0F 2C 19 6D 2C 19 4D 2C .. . .&,.,.m,.M,
00AC30: 0E 01 A4 20 19 8C 2C FF 03 28 19 0D 29 01 AD 20 ... ..,..(..)..
00AC40: 0F 01 D8 20 23 0E 2C 0F 2C 19 28 2C 0F 2C 19 19 ... #.,.,.(,.,..
00AC50: 01 BA 20 11 01 8A 01 82 20 19 1A 01 CF 20 80 20 .. ..... .... .
00AC60: 19 F5 00 16 00 02 00 D8 20 23 0E 2C 13 2C 19 24 ........ #.,.,.$
00AC70: 2C 0F 2C 19 19 20 20 20 00 0C 00 03 00 B8 20 19 ,.,.. ...... .
00AC80: 30 2C 19 20 00 25 00 04 00 A2 20 0F 2C 15 01 A2 0,. .%.... .,...
00AC90: 20 0E 2C 0F 01 A2 20 10 2C 19 16 01 A2 20 11 2C .,... .,.... .,
00ACA0: 19 1A 01 BB 20 0E 20 20 20 00 77 00 05 00 CF 20 .... . .w....
00ACB0: 19 F5 2C 0E 2C 19 81 2C 19 E7 2C 19 FF 2C 19 FF ..,.,..,..,..,..
00ACC0: 2C 19 FF 2C 19 FF 2C 19 FF 01 CF 20 19 F6 2C 19 ,..,..,.... ..,.
00ACD0: FE 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 FF .,..,..,..,..,..
00ACE0: 2C 19 FF 2C 19 FF 01 CF 20 19 F7 2C 19 7F 2C 19 ,..,.... ..,..,.
00ACF0: FF 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 FF .,..,..,..,..,..
00AD00: 2C 19 FF 01 CF 20 19 FE 2C 19 3C 2C 19 42 2C 19 ,.... ..,.<,.B,.
00AD10: 99 2C 19 A1 2C 19 A1 EF 3B 2C 19 99 2C 19 42 2C .,..,...;,..,.B,
00AD20: 19 3C 00 8E 00 06 00 CF 20 19 F8 2C 0E 2C 0E 2C .<...... ..,.,.,
00AD30: 0E 2C 0E 2C 0E 2C 0E 2C 0E 2C 19 F0 01 CF 20 19 .,.,.,.,.,.... .
00AD40: F9 2C 0E 2C 0E 2C 0E 2C 0E 2C 0E 2C 0E 2C 0E 2C .,.,.,.,.,.,.,.,
00AD50: 19 0F 01 CF 20 19 FA 2C 19 FF 2C 19 FF 2C 19 FF .... ..,..,..,..
00AD60: 2C 19 FF 2C 19 FF 2C 19 7E 2C 19 18 01 CF 20 19 ,..,..,.~,.... .
00AD70: FB 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 0F 2C 0F 01 .,..,..,..,..,..
00AD80: CF 20 19 FC 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 F0 . ..,..,..,..,..
00AD90: 2C 19 80 01 CF 20 19 FD 2C 19 3C 2C 19 7E 2C 19 ,.... ..,.<,.~,.
00ADA0: FF 2C 19 FF 2C 19 FF 2C 19 FF 2C 19 7E 2C 19 3C .,..,..,..,.~,.<
00ADB0: 00 3F 00 07 00 BF 20 FF 03 28 19 18 29 3B 22 20 .?.... ..(..);"
00ADC0: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
00ADD0: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
00ADE0: 22 01 9E 20 0D 00 00 D4 EF 0F 20 EC 20 19 16 00 ".. ...... . ...
00ADF0: 25 00 08 00 BF 20 FF 03 28 19 1F 29 FF 03 28 19 %.... ..(..)..(.
00AE00: 20 29 FF 03 28 0D 00 00 F4 29 3B 22 20 22 01 BF )..(....);" "..
00AE10: 20 22 20 22 00 0B 00 09 00 66 26 B0 20 0D 00 00 " ".....f&. ...
00AE20: F4 00 51 00 0A 00 BF 20 FF 03 28 19 1F 29 FF 03 ..Q.... ..(..)..
00AE30: 28 19 1E 29 FF 03 28 19 17 29 22 20 20 20 20 20 (..)..(..)"
00AE40: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
00AE50: 20 20 20 20 20 20 20 20 20 20 20 22 FF 03 28 19 "..(.
00AE60: 1F 29 FF 03 28 19 20 29 FF 03 28 19 17 29 3B 22 .)..(. )..(..);"
00AE70: 20 22 00 3D 00 0B 00 BF 20 FF 03 28 19 1F 29 FF ".=.... ..(..).
00AE80: 03 28 10 29 FF 03 28 15 29 22 20 20 20 20 20 20 .(.)..(.)"
00AE90: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
00AEA0: 20 20 20 20 20 20 20 20 22 FF 03 28 19 18 29 00 "..(..).
00AEB0: 0B 00 0C 00 C3 20 0D 00 00 F8 00 13 00 0D 00 A1 ..... ..........
00AEC0: 20 0D 00 00 F8 EF 0E 20 EB 20 1E 12 00 00 10 00 ...... . ......
00AED0: 0E 00 C3 20 0D 00 00 F9 2C 0D 00 00 F0 00 2A 00 ... ....,.....*.
00AEE0: 0F 00 C5 20 50 45 4E 20 70 3A 50 52 49 4E 54 20 ... PEN p:PRINT
00AEF0: 43 48 52 24 28 33 31 29 43 48 52 24 28 78 29 43 CHR$(31)CHR$(x)C
00AF00: 48 52 24 28 79 29 3B 00 1A 00 10 00 C3 20 0D 00 HR$(y);...... ..
00AF10: 00 F6 01 A1 20 0D 00 00 F6 EF 0E C4 73 20 EB 20 .... .......s .
00AF20: 1E 0C 00 00 1D 00 11 00 C5 20 50 52 49 4E 54 20 ......... PRINT
00AF30: 43 48 52 24 28 76 29 3B 3A 47 4F 54 4F 20 31 36 CHR$(v);:GOTO 16
00AF40: 00 61 00 12 00 C5 20 50 41 50 45 52 20 33 3A 50 .a.... PAPER 3:P
00AF50: 45 4E 20 31 3A 46 4F 52 20 74 3D 31 20 54 4F 20 EN 1:FOR t=1 TO
00AF60: 34 3A 52 45 41 44 20 6C 24 3A 50 52 49 4E 54 20 4:READ l$:PRINT
00AF70: 43 48 52 24 28 33 31 29 43 48 52 24 28 33 29 43 CHR$(31)CHR$(3)C
00AF80: 48 52 24 28 31 32 2B 74 29 3B 6C 24 3A 4E 45 58 HR$(12+t);l$:NEX
00AF90: 54 20 74 3A 50 41 50 45 52 20 33 3A 50 45 4E 20 T t:PAPER 3:PEN
00AFA0: 30 00 92 00 13 00 BA 20 19 0E 01 BB 20 0F 01 A9 0...... .... ...
00AFB0: 20 12 2C 19 0A 01 BF 20 22 20 43 75 72 73 6F 73 .,.... " Cursos
00AFC0: 20 45 64 75 63 61 74 69 76 6F 73 20 4D 4F 4E 53 Educativos MONS
00AFD0: 45 52 20 22 01 BA 20 19 0C 01 BB 20 11 01 A9 20 ER ".. .... ...
00AFE0: 19 0A 2C 19 0C 01 BF 20 22 20 20 20 20 20 20 20 ..,.... "
00AFF0: 20 20 20 20 20 20 22 01 A9 20 19 0A 2C 19 0D 01 ".. ..,...
00B000: BF 20 22 20 4D 41 54 45 4D 41 54 49 43 41 53 20 . " MATEMATICAS
00B010: 22 01 A9 20 19 0A 2C 19 0E 01 BF 20 22 1A 9F 20 ".. ..,.... "..
00B020: 20 20 20 20 20 20 20 20 20 20 20 20 22 01 BA 20 "..
00B030: 11 01 BB 20 0E 00 3A 00 14 00 BF 20 FF 03 28 19 ... ..:.... ..(.
00B040: 1F 29 FF 03 28 19 0A 29 FF 03 28 12 29 3B 01 A9 .)..(..)..(.);..
00B050: 20 15 2C 12 01 BF 20 22 4D 4F 4E 53 45 52 2C 20 .,... "MONSER,
00B060: 53 2E 41 2E 20 70 72 65 73 65 6E 74 61 3A 22 00 S.A. presenta:".
00B070: 45 00 15 00 BF 20 FF 03 28 19 1F 29 FF 03 28 10 E.... ..(..)..(.
00B080: 29 FF 03 28 19 12 29 22 20 4D 4F 44 55 4C 4F 20 )..(..)" MODULO
00B090: 46 20 20 20 20 20 20 20 20 22 01 C5 20 43 48 52 F ".. CHR
00B0A0: 24 28 32 35 34 29 22 20 4E 2E 50 2E 4F 2E 47 72 $(254)" N.P.O.Gr
00B0B0: 65 65 6E 22 00 43 00 18 00 C5 20 50 52 49 4E 54 een".C.... PRINT
00B0C0: 20 43 48 52 24 28 33 31 29 43 48 52 24 28 32 29 CHR$(31)CHR$(2)
00B0D0: 43 48 52 24 28 32 31 29 22 54 72 61 64 75 63 69 CHR$(21)"Traduci
00B0E0: 64 6F 20 70 6F 72 3A 20 47 72 75 70 6F 20 46 6F do por: Grupo Fo
00B0F0: 6D 62 65 6C 6C 61 22 00 3A 00 19 00 BF 20 FF 03 mbella".:.... ..
00B100: 28 19 1F 29 FF 03 28 10 29 FF 03 28 19 16 29 22 (..)..(.)..(..)"
00B110: 20 20 20 20 20 22 FF 03 28 19 A4 29 22 20 4D 87 "..(..)" M.
00B120: E8 4F 4E 53 45 52 2C 20 53 2E 41 2E 20 20 31 39 .ONSER, S.A. 19
00B130: 38 36 22 00 0C 00 1A 00 CA 22 21 6D 6F 64 66 00 86"......"!modf.
00B140: 30 00 E8 03 8C 20 31 33 2C 38 2C 32 2C 31 34 30 0.... 13,8,2,140
00B150: 2C 31 34 30 2C 33 32 2C 31 33 36 2C 31 34 30 2C ,140,32,136,140,
00B160: 33 32 2C 31 33 32 2C 33 32 2C 31 33 36 2C 30 00 32,132,32,136,0.
00B170: 31 00 F2 03 8C 20 31 33 2C 39 2C 32 2C 31 33 33 1.... 13,9,2,133
00B180: 2C 33 32 2C 31 33 33 2C 31 33 33 2C 33 32 2C 31 ,32,133,133,32,1
00B190: 33 33 2C 31 33 35 2C 31 33 32 2C 31 33 38 2C 30 33,135,132,138,0
00B1A0: 00 33 00 FC 03 8C 20 31 33 2C 31 30 2C 32 2C 31 .3.... 13,10,2,1
00B1B0: 33 35 2C 31 33 31 2C 33 32 2C 31 33 35 2C 31 33 35,131,32,135,13
00B1C0: 31 2C 31 33 33 2C 31 33 33 2C 31 33 30 2C 31 34 1,133,133,130,14
00B1D0: 32 2C 30 00 30 00 06 04 8C 20 31 33 2C 31 31 2C 2,0.0.... 13,11,
00B1E0: 32 2C 31 32 39 2C 33 32 2C 33 32 2C 31 32 39 2C 2,129,32,32,129,
00B1F0: 33 32 2C 31 32 39 2C 31 32 39 2C 33 32 2C 31 33 32,129,129,32,13
00B200: 30 2C 30 00 5A 00 4C 04 8C 20 33 2C 33 2C 31 2C 0,0.Z.L.. 3,3,1,
00B210: 32 31 34 2C 30 2C 33 2C 34 2C 31 2C 31 34 33 2C 214,0,3,4,1,143,
00B220: 30 8D 4E 2C 33 2C 35 2C 31 2C 32 31 32 2C 30 2C 0.N,3,5,1,212,0,
00B230: 34 2C 34 2C 30 2C 32 31 35 2C 30 2C 34 2C 35 2C 4,4,0,215,0,4,5,
00B240: 30 2C 32 31 33 2C 30 2C 36 2C 34 2C 31 2C 32 31 0,213,0,6,4,1,21
00B250: 34 2C 30 2C 36 2C 35 2C 31 2C 32 31 32 2C 30 00 4,0,6,5,1,212,0.
00B260: 36 00 56 04 8C 20 37 2C 34 2C 30 2C 32 31 35 2C 6.V.. 7,4,0,215,
00B270: 30 2C 37 2C 35 2C 30 2C 32 31 33 2C 30 2C 38 2C 0,7,5,0,213,0,8,
00B280: 34 2C 31 2C 32 31 34 2C 30 2C 38 2C 35 2C 31 2C 4,1,214,0,8,5,1,
00B290: 32 31 32 2C 30 00 1E 00 60 04 8C 20 39 2C 34 2C 212,0...`.. 9,4,
00B2A0: 30 2C 32 31 35 2C 30 2C 39 2C 35 2C 30 2C 32 31 0,215,0,9,5,0,21
00B2B0: 33 2C 30 00 53 00 6A 04 8C 20 32 38 2C 33 2C 30 3,0.S.j.. 28,3,0
00B2C0: 2C 32 34 38 2C 33 32 2C 32 34 39 2C 30 2C 32 39 ,248,32,249,0,29
00B2D0: 2C 33 2C 31 2C 32 35 33 2C 30 2C 32 38 2C 34 2C ,3,1,253,0,28,4,
00B2E0: 30 2C 31 34 33 2C 32 34 35 2C 31 34 33 2C 30 2C 0,143,245,143,0,
00B2F0: 32 38 2C 35 2C 30 2C 32 35 31 2C 32 35 30 2C 32 28,5,0,251,250,2
00B300: 35 32 2C 30 2C 30 00 25 00 6B 04 8C 20 22 20 20 52,0,0.%.k.. "
00B310: D7 20 20 D6 20 20 D6 D7 20 20 8F 8F 8F 8F 20 8F . . .. .... .
00B320: 20 20 8F A5 2B 20 8F 8F 8F 8F 20 20 22 00 26 00 ..+ .... ".&.
00B330: 6C 04 8C 20 22 20 20 8F D7 D6 8F 20 D6 D4 D5 D7 l.. " .... ....
00B340: 20 20 8A 85 20 20 8F 8C 8C 8F 20 8F 8C 8C 8C 20 .. .... ....
00B350: 20 22 20 00 25 00 6D 04 8C 20 22 20 20 8F D5 D4 " .%.m.. " ...
00B360: 8F 20 8F 8F 8F 8F 20 20 8A 85 20 20 8F 83 83 8F . .... .. ....
00B370: 20 83 83 83 8F 22 20 20 00 25 00 6E 04 8C 20 22 ...." .%.n.. "
00B380: 20 20 8F 20 20 8F 20 8F 20 20 8F 20 20 8A 85 20 . . . . ..
00B390: 20 8F 20 20 8F 20 8F 8F 8F 8F 20 20 22 00 08 00 . . .... "...
00B3A0: 0F 27 86 01 CA 00 00 00 00 00 00 00 00 00 00 00 .'..............
00B3B0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B3C0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B3D0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B3E0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B3F0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B400: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B410: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B420: 00 00 00 00 00 54 D7 FF FF FF FF 11 D4 08 6A 04 .....T........j.
00B430: 6A 04 6A 04 D4 08 00 10 08 10 00 07 01 00 2C 4D j.j...........,M
00B440: 4F 44 46 00 00 00 00 00 00 00 00 00 00 00 00 01 ODF.............
00B450: 00 01 00 08 70 01 FF E2 8F 00 00 00 00 00 00 00 ....p...........
00B460: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B470: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B480: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B490: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B4A0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B4B0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B4C0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B4D0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B4E0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B4F0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B500: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B510: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B520: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
00B530: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 06 ................
00B540: AA FF FF FF FF 11 D4 08 6A 04 6A 04 6A 04 D4 08 ........j.j.j...
00B550: 00 10 08 6A 0A 15 08 00 16 2B 00 01 00 83 20 1C ...j.....+.... .
00B560: 00 BB 01 A4 20 8D 20 19 26 2C 0F 2C 19 6D 2C 19 .... . .&,.,.m,.
00B570: 4D 2C 0E 01 A4 20 19 8C 2C FF 03 28 19 0D 29 01 M,... ..,..(..).
00B580: AD 20 0F 00 28 00 02 00 D8 20 23 0E 2C 0F 2C 19 . ..(.... #.,.,.
00B590: 28 2C 0F 2C 19 19 01 BA 20 0E 01 8A 01 D8 20 23 (,.,.... ..... #
00B5A0: 0E 2C 13 2C 19 24 2C 10 2C 19 17 00 1D 00 03 00 .,.,.$,.,.......
00B5B0: B8 20 19 40 2C 19 20 01 BC 20 0E 2C 0E 2C 0E 01 . .@,. .. .,.,..
00B5C0: 0D 00 00 63 6F EC EF 0E 00 1F 00 04 00 A2 20 0F ...co......... .
00B5D0: 2C 19 14 01 A2 20 0E 2C 0E 01 A2 20 10 2C 19 16 ,.... .,... .,..
00B5E0: 01 A2 20 11 2C 19 1A 00 B5 00 05 00 CF 20 80 20 .. .,........ .
00B5F0: 19 D1 01 CF 20 19 D1 2C 19 7C 2C 19 C6 2C 19 CE .... ..,.|,..,..
00B600: 2C 19 D6 2C 19 E6 2C 19 C6 2C 19 7C 2C 19 FF 01 ,..,..,..,.|,...
00B610: CF 20 19 D2 2C 19 18 2C 19 38 2C 19 18 2C 19 18 . ..,..,.8,..,..
00B620: 2C 19 18 2C 19 18 2C 19 7E 2C 19 FF 01 CF 20 19 ,..,..,.~,.... .
00B630: D3 2C 19 3C 2C 19 66 2C 14 2C 19 3C 2C 19 60 2C .,.<,.f,.,.<,.`,
00B640: 19 66 2C 19 7E 2C 19 FF 01 CF 20 19 D4 2C 19 3C .f,.~,.... ..,.<
00B650: 2C 19 66 2C 14 2C 19 1C 2C 34 F0 14 2C 19 66 2C ,.f,.,..,4..,.f,
00B660: 19 3C 2C 19 FF 01 CF 20 19 D5 2C 19 1C 2C 19 3C .<,.... ..,..,.<
00B670: 2C 19 6C 2C 19 CC 2C 19 FE 2C 19 0C 2C 19 1E 2C ,.l,..,..,..,..,
00B680: 19 FF 01 CF 20 19 D6 2C 19 7E 2C 19 62 2C 19 60 .... ..,.~,.b,.`
00B690: 2C 19 7C 2C 14 2C 19 66 2C 19 3C 2C 19 FF 00 A4 ,.|,.,.f,.<,....
00B6A0: 00 0C 00 CF 20 19 D7 2C 19 18 2C 19 3C 2C 19 66 .... ..,..,.<,.f
00B6B0: 2C 19 66 2C 19 7E 2C 19 66 2C 19 66 2C 19 FF 01 ,.f,.~,.f,.f,...
00B6C0: CF 20 19 D8 2C 19 FC 2C 19 66 2C 19 66 2C 19 7C . ..,..,.f,.f,.|
00B6D0: 2C 19 66 2C 19 66 2C 19 FC 2C 19 FF 01 CF 20 19 ,.f,.f,..,.... .
00B6E0: D9 2C 19 3C 2C 19 66 2C 19 C0 2C 19 C0 2C 19 C0 .,.<,.f,..,..,..
00B6F0: 2C 19 66 2C 19 3C 2C 19 FF 01 CF 20 19 DA 2C 19 ,.f,.<,.... ..,.
00B700: F8 2C 19 6C 2C 19 66 2C 19 66 2C 19 66 2C 19 6C .,.l,.f,.f,.f,.l
00B710: 2C 19 F8 2C 19 FF 01 CF 20 19 DB 2C 19 20 2C 19 ,..,.... ..,. ,.
00B720: 50 2C 19 10 2C 19 20 2C 19 70 01 CF 20 19 DC 2C P,..,. ,.p.. ..,
00B730: 0E 2C 0E 2C 0E 2C 0E 2C 19 18 2C 19 18 2C 0E 2C .,.,.,.,..,..,.,
00B740: 19 FF 00 1F 00 0D 00 CF 20 19 DD 2C 0E 2C 0E 2C ........ ..,.,.,
00B750: 19 DC 2C 19 66 2C 19 66 2C 19 7C 7F E8 2C 19 60 ..,.f,.f,.|..,.`
00B760: 2C 19 FF 00 94 00 13 00 CF 20 19 DE 2C 0E 2C 0E ,........ ..,.,.
00B770: 2C 0E 2C 19 20 2C 19 60 2C 19 20 2C 19 20 2C 19 ,.,. ,.`,. ,. ,.
00B780: 70 01 CF 20 19 DF 2C 0E 2C 0E 2C 0E 2C 19 20 2C p.. ..,.,.,.,. ,
00B790: 19 50 2C 19 10 2C 19 20 2C 19 70 01 CF 20 19 E0 .P,..,. ,.p.. ..
00B7A0: 2C 0E 2C 0E 2C 0E 2C 19 70 2C 19 18 2C 19 70 2C ,.,.,.,.p,..,.p,
00B7B0: 19 18 2C 19 70 01 CF 20 19 E1 2C 0E 2C 0E 2C 0E ..,.p.. ..,.,.,.
00B7C0: 2C 19 40 2C 19 50 2C 19 78 2C 19 10 2C 19 10 01 ,.@,.P,.x,..,...
00B7D0: CF 20 19 E2 2C 12 2C 19 0C 2C 19 E4 2C 12 2C 19 . ..,.,..,..,.,.
00B7E0: 0E 01 CF 20 19 E3 2C 0E 2C 0E 2C 10 2C 12 2C 19 ... ..,.,.,.,.,.
00B7F0: 88 2C 19 50 2C 19 20 00 1B 00 14 00 CF 20 19 E4 .,.P,. ...... ..
00B800: 2C 0E 2C 0E 2C 11 2C 19 46 2C 19 EC 2C 19 38 2C ,.,.,.,.F,..,.8,
00B810: 19 10 00 0A 00 59 00 A0 20 1E 64 00 00 A4 00 5A .....Y.. .d....Z
00B820: 00 BA 20 11 01 BB 20 0E 01 8A 01 BA 20 10 01 20 .. ... ..... ..
00B830: BF 20 FF 03 28 19 1F 29 FF 03 28 11 29 FF 03 28 . ..(..)..(.)..(
00B840: 11 29 3B 22 4D 4F 44 55 4C 4F 53 20 44 45 20 41 .);"MODULOS DE A
00B850: 50 52 45 4E 44 49 5A 41 4A 45 20 32 38 DC 7A 2D PRENDIZAJE 28.z-
00B860: 33 30 22 3B FF 03 28 19 1F 29 FF 03 28 19 0C 29 30";..(..)..(..)
00B870: FF 03 28 12 29 3B 22 4D 41 54 45 4D 41 54 49 43 ..(.);"MATEMATIC
00B880: 41 53 22 01 20 BA 20 15 01 BF 01 BF 01 BF 22 32 AS". . ......."2
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012340: FF FF FF 11 D4 08 6A 04 6A 04 6A 04 D4 08 00 10 ......j.j.j.....
012350: 08 0F 00 07 01 00 2C 4D 4F 44 46 00 00 00 00 00 ......,MODF.....
012360: 00 00 00 00 00 00 00 0D 00 01 00 08 70 61 00 E2 ............pa..
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012450: 00 00 00 00 00 00 00 1C 54 FF FF FF FF 11 D4 08 ........T.......
012460: 6A 04 6A 04 6A 04 D4 08 00 10 08 6D 0A 15 08 00 j.j.j......m....
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012490: 1E 7A 1B 01 C9 00 0C 00 52 1D C7 20 1E 7B 1B 01 .z......R.. .{..
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0124B0: 54 1D C7 20 1E 7D 1B 01 C9 00 0C 00 55 1D C7 20 T.. .}......U..
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0124D0: C9 00 0C 00 57 1D C7 20 1E 80 1B 01 C9 00 0C 00 ....W.. ........
0124E0: 58 1D C7 20 1E 81 1B 01 C9 00 0C 00 59 1D C7 20 X.. ........Y..
0124F0: 1E 82 1B 01 C9 00 0C 00 5A 1D C7 20 1E 83 1B 01 ........Z.. ....
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012570: 64 46 CD 1D C7 20 1E 8D 1B 01 C9 00 0C 00 65 1D dF... ........e.
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012590: 00 EE 20 A0 20 1E 67 1D 2C 1E 68 1D 2C 1E 69 1D .. . .g.,.h.,.i.
0125A0: 2C 1E 6A 1D 2C 1E 6B 1D 2C 1E 6C 1D 2C 1E 6D 1D ,.j.,.k.,.l.,.m.
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012660: 1D 2C 1E 7A 1D 2C 1E 7B 1D 2C 1E 7C 1D 2C 1E 7D .,.z.,.{.,.|.,.}
012670: 1D 00 0C A5 AD 00 72 1D C7 20 1E 99 1B 01 C9 00 ......r.. ......
012680: 0C 00 73 1D C7 20 1E 9A 1B 01 C9 00 0C 00 74 1D ..s.. ........t.
012690: C7 20 1E 9B 1B 01 C9 00 0C 00 75 1D C7 20 1E 9C . ........u.. ..
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0126B0: 0C 00 77 1D C7 20 1E 9E 1B 01 C9 00 0C 00 78 1D ..w.. ........x.
0126C0: C7 20 1E 9F 1B 01 C9 00 0C 00 79 1D C7 20 1E A0 . ........y.. ..
0126D0: 1B 01 C9 00 0C 00 7A 1D C7 20 1E A1 1B 01 C9 00 ......z.. ......
0126E0: 0C 00 7B 1D C7 20 1E A2 1B 01 C9 00 0C 00 7C 1D ..{.. ........|.
0126F0: C7 20 1E A3 1B 01 C9 00 0C 00 7D 1D C7 20 1E A4 . .£......}.. ..
012700: 1B 01 C9 00 06 00 DC 1E C5 00 12 00 E6 1E A1 20 ...............
012710: FF 43 F2 22 22 20 EB 20 1E E6 1E 00 2C 00 EB 1E .C."" . ....,...
012720: BF 20 FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 . ..(..)..(.)..(
012730: 10 29 FF 03 28 19 8F 29 01 03 00 00 E8 EF 22 22 .)..(..)......""
012740: 01 0D 00 00 E3 EF 0E 00 1C 00 04 1F 03 00 00 E9 ................
012750: EF FF 43 01 A1 20 03 00 00 E9 EF 22 22 20 EB 20 ..C.. ....."" .
012760: 1E 04 1F 00 21 00 0E 1F A1 20 03 00 00 E9 EF FF ....!.... ......
012770: 03 28 19 0D 29 07 52 20 FA 20 0D 00 00 E3 EF 0E .(..).R . ......
012780: 20 EB 20 1E 04 1F 00 16 00 18 1F A1 20 03 00 00 . ......... ...
012790: E9 EF FF 03 28 19 0D 29 20 EB 20 C9 00 26 00 19 ....(..) . ..&..
0127A0: 1F A1 20 FF 01 28 03 00 00 E9 29 F1 19 20 20 FC .. ..(....).. .
0127B0: 20 FF 01 28 03 00 00 E9 29 EE 19 C8 20 EB 20 1E ..(....)... . .
0127C0: 04 1F 00 21 00 22 1F A1 20 03 00 00 E9 EF FF 03 ...!.".. .......
0127D0: 28 19 7F 29 20 FA 20 0D 00 00 E3 EF 0E 20 EB 20 (..) . ...... .
0127E0: 1E 04 1F 00 3F 00 2C 1F A1 20 03 00 00 E9 EF FF ....?.,.. ......
0127F0: 03 28 19 7F 29 20 EB 20 03 00 00 E8 EF FF 75 28 .(..) . ......u(
012800: 03 00 00 E8 2C FF 0E 28 03 00 00 E8 29 F5 0F 29 ....,..(....)..)
012810: 01 0D 00 00 E3 EF 0D 00 00 E3 F5 0F 01 A0 20 1E .............. .
012820: 4A 1F 00 15 00 36 1F A1 20 0D 00 00 E3 EE 19 1C J....6.. .......
012830: 20 EB 20 1E 04 1F 20 00 37 00 40 1F A1 20 0D 00 . ... .7.@.. ..
012840: 00 76 76 61 EC F2 0F 20 EB 20 03 00 00 E8 EF 03 .vva... . ......
012850: 00 00 E8 F4 FF 1C 28 03 00 00 E9 29 20 01 97 20 ......(....) ..
012860: 03 00 00 E8 EF 03 00 00 E8 F4 03 00 00 E9 00 10 ................
012870: 00 41 1F 0D 00 00 E3 2D FF EF 0D 00 00 E3 F4 0F .A.....-........
012880: 00 24 00 4A 1F BF 20 FF 03 28 19 1F 29 FF 03 28 .$.J.. ..(..)..(
012890: 0F 29 FF 03 28 10 29 03 00 00 E8 FF 03 28 19 8F .)..(.)......(..
0128A0: 29 22 20 22 00 0A 00 54 1F A0 20 1E 04 1F 00 12 )" "...T.. .....
0128B0: 00 49 21 A1 20 FF 43 F2 22 22 20 EB 20 1E 49 21 .I!. .C."" . .I!
0128C0: 00 3B 00 4A 21 03 00 00 C9 EF FF 43 01 A1 20 03 .;.J!......C.. .
0128D0: 00 00 C9 EF 22 22 20 EB 20 1E 4A 21 20 01 97 20 ...."" . .J! ..
0128E0: A1 20 03 00 00 E9 EF 22 4E 22 20 FC 20 03 00 00 . ....."N" . ...
0128F0: E9 EF 22 6E 22 20 EB 20 1E 5B 21 00 20 00 4B 21 .."n" . .[!. .K!
012900: A1 20 03 00 00 E9 F2 22 53 22 20 FA 20 03 00 00 . ....."S" . ...
012910: E9 F2 22 73 22 20 EB 20 1E 4A 21 00 1E 00 4C 21 .."s" . .J!...L!
012920: CC 20 0F 2C 19 34 2C 19 0A 01 20 0D 00 00 53 D7 . .,.4,... ...S.
012930: EF 13 01 20 9F 20 1E F0 23 00 83 00 4D 21 BF 20 ... . ..#...M!.
012940: FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 12 29 ..(..)..(.)..(.)
012950: 3B 22 20 64 61 64 61 20 6C 61 20 6D 61 74 72 69 ;" dada la matri
012960: 7A 20 64 65 20 32 78 32 2C D7 2C 22 3B FF 03 28 z de 2x2,.,";..(
012970: 19 1F 29 FF 03 28 19 10 29 BF 33 FF 03 28 14 29 ..)..(..).3..(.)
012980: 3B 22 61 20 20 62 22 3B FF 03 28 19 1F 29 FF 03 ;"a b";..(..)..
012990: 28 19 10 29 FF 03 28 16 29 3B 22 63 20 20 64 22 (..)..(.);"c d"
0129A0: 3B FF 03 28 19 1F 29 FF 03 28 19 0B 29 FF 03 28 ;..(..)..(..)..(
0129B0: 15 29 3B 22 D7 20 3D 22 01 9F 20 1E D6 0B 00 D1 .);". =".. .....
0129C0: 00 4E 21 BF 20 FF 03 28 19 1F 29 FF 03 28 19 10 .N!. ..(..)..(..
0129D0: 29 FF 03 28 19 0D 29 3B 22 32 20 20 33 22 3B FF )..(..);"2 3";.
0129E0: 03 28 19 1F 29 FF 03 28 19 10 29 FF 03 28 19 0F .(..)..(..)..(..
0129F0: 29 3B 22 34 20 20 35 22 3B FF 03 28 19 1F 29 FF );"4 5";..(..).
012A00: 03 28 16 29 FF 03 28 19 0E 29 3B 22 53 69 20 D7 .(.)..(..);"Si .
012A10: 20 3D 22 01 0D 00 00 78 B1 EF 19 EE 01 0D 00 00 ="....x........
012A20: 79 B1 EF 19 9E 01 0D 00 00 78 B2 EF 0E 01 0D 00 y........x......
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012A60: 01 0D 00 00 78 B2 EF 0E 01 0D 00 00 79 B2 EF 10 ....x.......y...
012A70: F6 F5 19 17 01 0D 00 00 61 6E 67 CA 67 6C E5 EF ........ang.gl..
012A80: F5 FF 44 F7 11 01 9F 20 1E 1C 25 01 9F 20 1E E0 ..D.... ..%.. ..
012A90: 0B 00 6C 00 4F 21 0D 00 00 53 D7 EF 19 12 01 20 ..l.O!...S.....
012AA0: 9F 20 1E F0 23 01 20 BF 20 FF 03 28 19 1F 29 FF . ..#. . ..(..).
012AB0: 03 28 19 10 29 FF 03 28 19 0D 29 3B 22 32 20 2D .(..)..(..);"2 -
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012AD0: 03 28 19 0F 29 3B 22 34 20 20 35 22 3B FF 03 28 .(..);"4 5";..(
012AE0: 19 1F 29 FF 03 28 16 29 FF 03 28 19 0E 29 3B 22 ..)..(.)..(..);"
012AF0: 53 69 20 D8 20 3D 22 01 9F 20 1E EA 0B 00 6D 00 Si . =".. ....m.
012B00: 50 21 0D 00 00 53 D7 EF 19 12 01 20 9F 20 1E F0 P!...S..... . ..
012B10: 23 01 20 BF 20 FF 03 28 19 1F 29 FF 03 28 19 10 #. . ..(..)..(..
012B20: 29 FF 03 28 19 0D 29 3B 22 32 20 20 33 22 3B FF )..(..);"2 3";.
012B30: 03 28 19 1F 29 FF 03 28 19 10 29 FF 03 28 19 0F .(..)..(..)..(..
012B40: 29 3B 22 34 20 20 36 22 3B FF 03 28 19 1F 29 FF );"4 6";..(..).
012B50: 03 28 16 29 FF 03 28 19 0E 29 3B 22 53 69 20 D9 .(.)..(..);"Si .
012B60: 20 3D 22 01 20 9F 20 1E F4 0B 00 63 00 51 21 0D =". . ....c.Q!.
012B70: 00 00 53 D7 EF 13 01 20 9F 20 1E F0 23 3D 29 01 ..S.... . ..#=).
012B80: 20 BF 20 FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 . ..(..)..(.)..
012B90: 28 12 29 3B 22 20 20 50 61 72 61 20 68 61 6C 6C (.);" Para hall
012BA0: 61 72 20 6C 61 20 69 6E 76 65 72 73 61 2C 20 D7 ar la inversa, .
012BB0: E2 2C 20 64 65 75 6E 61 20 6D 61 74 72 69 7A 20 ., deuna matriz
012BC0: 64 65 20 20 32 20 78 20 32 2C 20 20 D7 2C 22 00 de 2 x 2, .,".
012BD0: CD 00 52 21 BF 20 FF 03 28 19 1F 29 FF 03 28 19 ..R!. ..(..)..(.
012BE0: 10 29 FF 03 28 14 29 3B 22 61 20 20 62 22 3B FF .)..(.);"a b";.
012BF0: 03 28 19 1F 29 FF 03 28 19 10 29 FF 03 28 16 29 .(..)..(..)..(.)
012C00: 3B 22 63 20 20 64 22 3B FF 03 28 19 1F 29 FF 03 ;"c d";..(..)..
012C10: 28 17 29 FF 03 28 15 29 3B 22 D7 20 3D 22 01 0D (.)..(.);". ="..
012C20: 00 00 78 B1 EF 19 EE 01 0D 00 00 79 B1 EF 1A 0E ..x........y....
012C30: 01 01 0D 00 00 78 B2 EF 0E 01 0D 00 00 79 B2 EF .....x.......y..
012C40: 10 F6 F5 19 17 01 0D 00 00 61 6E 67 6C E5 EF FF .........angl...
012C50: 44 F7 11 01 9F 20 1E 1C 25 01 0D 00 00 78 B1 EF D.... ..%....x..
012C60: 1A 32 01 01 0D 00 00 79 B1 EF 1A 0E 01 01 0D 00 .2.....y........
012C70: 00 78 B2 EF 0E 01 0D 00 00 79 B2 EF 10 F6 F5 01 .x.......y......
012C80: 81 FF FF FF FF 11 D4 08 6A 04 6A 04 6A 04 D4 08 ........j.j.j...
012C90: 00 10 08 10 00 07 01 00 2C 4D 4F 44 46 00 00 00 ........,MODF...
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012CD0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
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012DA0: D4 08 6A 04 6A 04 6A 04 D4 08 00 10 08 6C 0A 15 ..j.j.j......l..
012DB0: 08 00 16 19 17 01 0D 00 00 61 6E 67 6C E5 EF F5 .........angl...
012DC0: FF 44 F7 11 01 9F 20 1E 1C 25 01 9F 20 1E FE 0B .D.... ..%.. ...
012DD0: 00 A2 00 53 21 BF 20 FF 03 28 19 1F 29 FF 03 28 ...S!. ..(..)..(
012DE0: 0F 29 FF 03 28 19 0D 29 3B 22 46 69 6E 61 6C 6D .)..(..);"Finalm
012DF0: 65 6E 74 65 20 64 69 76 69 64 69 6D 6F 73 20 70 ente dividimos p
012E00: 6F 72 20 7C D7 7C 2E 22 3B FF 03 28 19 1F 29 FF or |.|.";..(..).
012E10: 03 28 17 29 FF 03 28 15 29 3B 22 D7 E2 3D 5F D2 .(.)..(.);"..=_.
012E20: 5F 22 3B FF 03 28 19 1F 29 FF 03 28 19 11 29 FF _";..(..)..(..).
012E30: 03 28 14 29 3B 22 64 2D 62 22 3B FF 03 28 19 1F .(.);"d-b";..(..
012E40: 29 FF 03 28 19 10 29 FF 03 28 16 29 3B 22 2D 63 )..(..)..(.);"-c
012E50: 20 61 22 3B FF 03 28 19 1F 29 FF 03 28 19 0C 29 a";..(..)..(..)
012E60: FF 03 28 16 29 3B 22 7C D7 7C 22 01 20 9F 20 1E ..(.);"|.|". . .
012E70: 1E 23 00 4A 00 54 21 0D 00 00 53 D7 EF 13 01 20 .#.J.T!...S....
012E80: 9F 20 1E F0 23 01 20 BF 20 FF 03 28 19 1F 29 FF . ..#. . ..(..).
012E90: 03 28 0F 29 FF 03 28 12 29 3B 22 20 50 61 72 61 .(.)..(.);" Para
012EA0: 20 68 61 6C 6C 61 72 20 6C 61 20 69 6E 76 65 72 hallar la inver
012EB0: 73 61 2C F9 C6 D7 E2 20 64 65 20 D7 3A 22 00 CC sa,.... de .:"..
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012EE0: 19 1F 29 FF 03 28 19 10 29 FF 03 28 16 29 3B 22 ..)..(..)..(.);"
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012F00: 29 FF 03 28 15 29 3B 22 D7 20 3D 22 01 0D 00 00 )..(.);". ="....
012F10: 78 B1 EF 19 EE 01 0D 00 00 79 B1 EF 1A 0E 01 01 x........y......
012F20: 0D 00 00 78 B2 EF 0E 01 0D 00 00 79 B2 EF 10 F6 ...x.......y....
012F30: F5 19 17 01 0D 00 00 61 6E 67 6C E5 EF FF 44 F7 .......angl...D.
012F40: 11 01 9F 20 1E 1C 25 01 0D 00 00 78 B1 EF 1A 32 ... ..%....x...2
012F50: 01 01 0D 00 00 79 B1 EF 1A 0E 01 01 0D 00 00 78 .....y.........x
012F60: B2 EF 0E 01 0D 00 00 79 B2 EF 10 F6 F5 19 17 01 .......y........
012F70: 0D 00 00 61 6E 67 6C E5 EF F5 FF 44 F7 11 01 9F ...angl....D....
012F80: 20 1E 1C 25 01 9F 20 1E 08 0C 00 A3 00 56 21 BF ..%.. ....£.V!.
012F90: 20 FF 03 28 19 1F 29 FF 03 28 0F 29 FF 03 28 19 ..(..)..(.)..(.
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013020: 28 16 29 3B 22 20 32 22 01 20 9F 20 1E 12 0C 00 (.);" 2". . ....
013030: 8B 00 57 21 0D 00 00 53 D7 EF 13 01 20 9F 20 1E ..W!...S.... . .
013040: F0 23 01 20 BF 20 FF 03 28 19 1F 29 FF 03 28 0F .#. . ..(..)..(.
013050: 29 FF 03 28 12 29 3B 22 20 43 6F 6D 70 72 75 65 )..(.);" Comprue
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013070: 28 19 10 29 FF 03 28 14 29 3B 22 31 20 20 30 22 (..)..(.);"1 0"
013080: 3B FF 03 28 19 1F 29 FF 03 28 19 10 29 FF 03 28 ;..(..)..(..)..(
013090: 16 29 3B 22 30 20 20 31 22 3B FF 03 28 19 1F 29 .);"0 1";..(..)
0130A0: FF 03 28 16 29 FF 03 28 15 29 3B 22 D7 E2 2E D7 ..(.)..(.);"....
0130B0: 20 3D 22 01 20 9F 20 3B 2B 1E 1C 0C 00 12 00 58 =". . ;+......X
0130C0: 21 A1 20 FF 43 F2 22 22 20 EB 20 1E 58 21 00 3B !. .C."" . .X!.;
0130D0: 00 59 21 03 00 00 C9 EF FF 43 01 A1 20 03 00 00 .Y!......C.. ...
0130E0: C9 EF 22 22 20 EB 20 1E 59 21 20 01 97 20 A1 20 .."" . .Y! .. .
0130F0: 03 00 00 E9 EF 22 53 22 20 FC 20 03 00 00 E9 EF ....."S" . .....
013100: 22 73 22 20 EB 20 1E 4C 21 00 20 00 5A 21 A1 20 "s" . .L!. .Z!.
013110: 03 00 00 E9 F2 22 4E 22 20 FA 20 03 00 00 E9 F2 ....."N" . .....
013120: 22 6E 22 20 EB 20 1E 59 21 00 6F 00 5B 21 CC 20 "n" . .Y!.o.[!.
013130: 0F 2C 19 34 2C 19 64 01 20 0D 00 00 53 D7 EF 13 .,.4,.d. ...S...
013140: 01 20 9F 20 1E F0 23 01 20 BF 20 FF 03 28 19 1F . . ..#. . ..(..
013150: 29 FF 03 28 0F 29 FF 03 28 12 29 3B 22 31 2E 43 )..(.)..(.);"1.C
013160: 61 6C 63 75 6C 61 20 65 6C 20 64 65 74 65 72 6D alcula el determ
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013180: 75 69 65 6E 74 65 73 20 6D 61 74 72 69 63 65 73 uientes matrices
013190: 3A 22 01 9F 20 1E 30 0C 00 A2 00 5C 21 BF 20 FF :".. .0....\!. .
0131A0: 03 28 19 1F 29 FF 03 28 17 29 FF 03 28 19 0A 29 .(..)..(.)..(..)
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0131C0: 03 28 19 18 29 FF 03 28 19 0A 29 3B 22 33 20 2D .(..)..(..);"3 -
0131D0: 34 22 3B FF 03 28 19 1F 29 FF 03 28 11 29 FF 03 4";..(..)..(.)..
0131E0: 28 19 0B 29 3B 22 D9 20 3D 22 3B FF 03 28 19 1F (..);". =";..(..
0131F0: 29 FF 03 28 19 13 29 FF 03 28 19 0B 29 3B 22 DA )..(..)..(..);".
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013210: 03 28 19 0C 29 3B 22 2D 35 20 36 22 3B FF 03 28 .(..);"-5 6";..(
013220: 19 1F 29 FF 03 28 19 18 29 FF 03 28 19 0C 29 3B ..)..(..)..(..);
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015130: 20 20 20 20 20 20 20 20 20 20 20 20 20 20 50 75 Pu
015140: 6C 73 61 20 28 53 2F 4E 29 20 20 20 20 20 20 20 lsa (S/N)
015150: 20 20 20 22 01 BA 20 11 01 C9 20 00 70 00 27 23 ".. ... .p.'#
015160: 8A 01 BF 20 FF 03 28 19 1F 29 FF 03 28 0F 29 FF ... ..(..)..(.).
015170: 03 28 16 29 22 20 20 50 61 72 61 20 75 73 61 72 .(.)" Para usar
015180: 20 65 6C 20 6D 6F 64 AC 51 FF FF FF FF 11 D4 08 el mod.Q.......
015190: 6A 04 6A 04 6A 04 D4 08 00 10 08 10 00 07 01 00 j.j.j...........
0151A0: 2C 4D 4F 44 46 00 00 00 00 00 00 00 00 00 00 00 ,MODF...........
0151B0: 00 12 FF 01 E2 07 70 89 00 E2 8F 00 00 00 00 00 ......p.........
0151C0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0151D0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0151E0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0151F0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015200: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015210: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015220: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015230: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015240: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015250: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015260: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015270: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015280: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015290: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0152A0: 00 5E 1E FF FF FF FF 11 D4 08 6A 04 6A 04 6A 04 .^........j.j.j.
0152B0: D4 08 00 10 08 B9 09 15 08 00 16 75 6C 6F 20 64 ...........ulo d
0152C0: 65 20 6E 75 65 76 6F 20 20 20 20 50 75 6C 73 61 e nuevo Pulsa
0152D0: 20 52 20 20 20 20 20 20 20 20 20 20 20 20 20 20 R
0152E0: 20 20 20 20 20 20 20 20 20 20 20 50 75 6C 73 61 Pulsa
0152F0: 20 53 20 70 61 72 61 20 70 61 72 61 72 2E 22 00 S para parar.".
015300: 12 00 8C 23 A1 20 FF 43 F2 22 22 20 EB 20 1E 8C ...#. .C."" . ..
015310: 23 00 1C 00 8E 23 03 00 00 E9 EF FF 43 01 A1 20 #....#......C..
015320: 03 00 00 E9 EF 22 22 20 EB 20 1E 8E 23 00 1E 00 ....."" . ..#...
015330: 91 23 A1 20 03 00 00 E9 EF 22 52 22 20 FC 20 03 .#. ....."R" . .
015340: 00 00 E9 EF 22 72 22 20 EB 20 CA 00 29 00 92 23 ...."r" . ..)..#
015350: A1 20 03 00 00 E9 EF 22 53 22 20 FC 20 03 00 00 . ....."S" . ...
015360: E9 EF 22 73 22 20 EB 20 CC 20 0F 2C 19 6B 2C 19 .."s" . . .,.k,.
015370: 32 01 98 20 00 0A 00 96 23 A0 20 1E 8E 23 00 32 2.. ....#. ..#.2
015380: 00 F0 23 D8 20 23 0E 2C 13 2C 19 24 2C 0D 00 00 ..#. #.,.,.$,...
015390: 73 F7 2C 19 17 01 BA 20 11 01 8A 01 D8 20 23 0E s.,.... ..... #.
0153A0: 2C 13 2C 19 24 2C 10 2C 19 17 01 BB 20 0E 01 C9 ,.,.$,.,.... ...
0153B0: 00 83 00 2C 24 BB 20 0E 01 D8 20 EE C5 23 0E 2C ...,$. ... ..#.,
0153C0: 13 2C 19 14 2C 19 0E 2C 19 17 01 BA 20 0F 01 8A .,..,..,.... ...
0153D0: 01 D8 20 23 0E 2C 19 15 2C 19 24 2C 19 0E 2C 19 .. #.,..,.$,..,.
0153E0: 17 01 BA 20 10 01 8A 01 D8 20 23 0E 2C 13 2C 19 ... ..... #.,.,.
0153F0: 24 2C 10 2C 19 17 01 BF 20 FF 03 28 19 1F 29 FF $,.,.... ..(..).
015400: 03 28 19 14 29 FF 03 28 19 0D 29 22 48 49 4E 54 .(..)..(..)"HINT
015410: 53 22 01 BA 20 0F 01 BF 20 FF 03 28 19 1F 29 FF S".. ... ..(..).
015420: 03 28 0F 29 FF 03 28 19 0D 29 22 41 4E 53 57 45 .(.)..(..)"ANSWE
015430: 52 53 22 01 C9 00 40 00 1B 25 0D 00 00 78 B1 EF RS"...@..%...x..
015440: 0D 00 00 78 B1 F4 0D 00 00 78 B2 01 0D 00 00 79 ...x.....x.....y
015450: B1 EF 0D 00 00 79 B1 F4 0D 00 00 79 B2 01 0D 00 .....y.....y....
015460: 00 78 B2 EF 0D 00 00 7A B2 01 0D 00 00 79 B2 EF .x.....z.....y..
015470: 0D 00 00 77 B2 00 17 00 1C 25 0D 00 00 61 6E 67 ...w.....%...ang
015480: 6C E5 EF F5 0D 00 00 61 6E 67 6C E5 00 0D 00 1D l......angl.....
015490: 25 0D 00 00 66 67 F8 EF 0E 00 1E 00 26 25 A1 20 %...fg......&%.
0154A0: 0D 00 00 79 B1 F4 0D 00 00 79 B2 F3 0D 00 00 79 ...y.....y.....y
0154B0: B1 20 EB 20 1E 3A 25 00 48 00 30 25 0D 67 98 00 . . .:%.H.0%.g..
0154C0: 00 79 B1 EF 0D 00 00 79 B1 F4 0D 00 00 79 B2 01 .y.....y.....y..
0154D0: 0D 00 00 78 B1 EF 0D 00 00 78 B1 F4 0D 00 00 78 ...x.....x.....x
0154E0: B2 01 0D 00 00 79 B2 EF F5 0D 00 00 79 B2 01 0D .....y......y...
0154F0: 00 00 78 B2 EF F5 0D 00 00 78 B2 01 A0 20 1E 3A ..x......x... .:
015500: 25 00 73 00 3A 25 0D 00 00 63 68 6F 72 E4 EF FF %.s.:%...chor...
015510: 18 28 0D 00 00 78 B2 F8 10 F4 0D 00 00 79 B2 F8 .(...x.......y..
015520: 10 29 01 0D 00 00 72 61 64 69 75 F3 EF 0D 00 00 .)....radiu.....
015530: 63 68 6F 72 E4 F7 28 10 F6 FF 15 28 FF 00 28 0D chor..(....(..(.
015540: 00 00 61 6E 67 6C E5 29 F7 10 29 29 01 0D 00 00 ..angl.)..))....
015550: 6D F8 EF 0D 00 00 78 B1 F4 0D 00 00 78 B2 F7 10 m.....x.....x...
015560: 01 0D 00 00 6D F9 EF 0D 00 00 79 B1 F4 0D 00 00 ....m.....y.....
015570: 79 B2 F7 10 00 30 00 58 25 0D 00 00 6C 65 6E 63 y....0.X%...lenc
015580: 65 6E 74 6D F0 EF FF 18 28 0D 00 00 72 61 64 69 entm....(...radi
015590: 75 F3 F8 10 F5 28 0D 00 00 63 68 6F 72 E4 F7 10 u....(...chor...
0155A0: 29 F8 10 29 00 36 00 5D 25 A1 20 0D 00 00 79 B2 )..).6.]%. ...y.
0155B0: EF 0E 20 EB 20 0D 00 00 67 72 61 64 63 65 6E B9 .. . ...gradcen.
0155C0: E9 74 6D F0 EF F5 FF 14 28 0D 00 00 78 B2 29 F6 .tm.....(...x.).
0155D0: 1F E9 ED FF 7F FF 01 A0 20 1E 6C 25 00 1F 00 62 ........ .l%...b
0155E0: 25 0D 00 00 67 72 61 64 63 65 6E 74 6D F0 EF F5 %...gradcentm...
0155F0: 0D 00 00 78 B2 F7 0D 00 00 79 B2 00 B3 00 6C 25 ...x.....y....l%
015600: 0D 00 00 74 68 65 74 E1 EF FF 02 28 0D 00 00 67 ...thet....(...g
015610: 72 61 64 63 65 6E 74 6D F0 29 01 0D 00 00 64 69 radcentm.)....di
015620: 73 74 75 F0 EF 0D 00 00 6C 65 6E 63 65 6E 74 6D stu.....lencentm
015630: F0 F6 FF 15 28 0D 00 00 74 68 65 74 E1 29 01 0D ....(...thet.)..
015640: 00 00 64 69 73 74 61 6C 6F 6E E7 EF 0D 00 00 6C ..distalon.....l
015650: 65 6E 63 65 6E 74 6D F0 F6 FF 05 28 0D 00 00 74 encentm....(...t
015660: 68 65 74 E1 29 01 0D 00 00 63 F9 EF 0D 00 00 6D het.)....c.....m
015670: F9 F5 FF 14 28 0D 00 00 61 6E 67 6C E5 29 F6 0D ....(...angl.)..
015680: 00 00 64 69 73 74 75 F0 01 0D 00 00 63 F8 EF 0D ..distu.....c...
015690: 00 00 6D F8 F5 FF 14 28 0D 00 00 61 6E 67 6C E5 ..m....(...angl.
0156A0: 29 F6 0D 00 00 64 69 73 74 61 6C 6F 6E E7 00 26 )....distalon..&
0156B0: 00 76 25 A1 20 0D 00 00 78 B1 EF 0D 00 00 63 F8 .v%. ...x.....c.
0156C0: 20 CE 9D EB 20 0D 00 00 74 68 65 74 E1 EF FF 44 ... ...thet...D
0156D0: 01 A0 20 1E A8 25 00 37 00 9E 25 0D 00 00 74 68 .. ..%.7..%...th
0156E0: 65 74 E1 EF FF 44 F7 10 F4 FF 00 28 FF 02 28 28 et...D.....(..((
0156F0: 0D 00 00 43 D9 F5 0D 00 00 79 B1 29 F7 28 0D 00 ...C.....y.).(..
015700: 00 63 F8 F5 0D 00 00 78 B1 29 29 29 20 00 7A 00 .c.....x.))) .z.
015710: A8 25 0D 00 00 66 67 F8 EF 0F 01 A1 20 0D 00 00 .%...fg..... ...
015720: 78 B2 EF 0E 20 FA 20 0D 00 00 79 B2 F1 0E 20 FA x... . ...y... .
015730: 20 0D 00 00 61 6E 67 6C E5 F1 0E 20 FA 20 0D 00 ...angl... . ..
015740: 00 78 B1 F1 0D 00 00 63 F8 20 FA 20 0D 00 00 79 .x.....c. . ...y
015750: B1 EE 0D 00 00 63 F9 20 EB 20 0D 00 00 74 68 65 .....c. . ...the
015760: 74 E1 EF 0D 00 00 74 68 65 74 E1 F4 FF 44 01 0D t.....thet...D..
015770: 00 00 61 6E 67 6C E5 EF F5 0D 00 00 61 6E 67 6C ..angl......angl
015780: E5 01 A0 20 1E 20 26 00 1F 00 A9 25 A1 20 0D 00 ... . &....%. ..
015790: 00 78 B2 EF 0E 20 EB 20 0D 00 00 66 67 F8 EF 10 .x... . ...fg...
0157A0: 01 A0 20 1E 20 26 00 7B 00 B3 25 A1 20 0D 00 00 .. . &.{..%. ...
0157B0: 78 B2 EE 0E 20 FA 20 0D 00 00 79 B2 F1 0E 20 FA x... . ...y... .
0157C0: 20 0D 00 DF 92 00 61 6E 67 6C E5 EE 0E 20 FA 20 .....angl... .
0157D0: 0D 00 00 63 F8 F1 0D 00 00 78 B1 20 FA 20 0D 00 ...c.....x. . ..
0157E0: 00 63 F9 F1 0D 00 00 79 B1 20 EB 20 0D 00 00 74 .c.....y. . ...t
0157F0: 68 65 74 E1 EF FF 44 F5 0D 00 00 74 68 65 74 E1 het...D....thet.
015800: 01 0D 00 00 61 6E 67 6C E5 EF F5 0D 00 00 61 6E ....angl......an
015810: 67 6C E5 01 0D 00 00 71 EC EF 1A B3 25 01 A0 20 gl.....q....%..
015820: 1E 20 26 00 7B 00 DF 25 A1 20 0D 00 00 78 B2 F1 . &.{..%. ...x..
015830: 0E 20 FA 20 0D 00 00 79 B2 F1 0E 20 FA 20 0D 00 . . ...y... . ..
015840: 00 61 6E 67 6C E5 F1 0E 20 FA 20 0D 00 00 63 F8 .angl... . ...c.
015850: EE 0D 00 00 78 B1 20 FA 20 0D 00 00 63 F9 F1 0D ....x. . ...c...
015860: 00 00 79 B1 20 EB 20 0D 00 00 74 68 65 74 E1 EF ..y. . ...thet..
015870: FF 44 F4 0D 00 00 74 68 65 74 E1 01 0D 00 00 61 .D....thet.....a
015880: 6E 67 6C E5 EF F5 0D 00 00 61 6E 67 6C E5 01 0D ngl......angl...
015890: 00 00 71 EC EF 1A DF 25 01 A0 20 1E 20 26 00 86 ..q....%.. . &..
0158A0: 00 F9 25 A1 20 0D 00 00 78 B2 EE 0E 20 FA 20 0D ..%. ...x... . .
0158B0: 00 00 79 B2 F1 0E 20 FA 20 0D 00 00 61 6E 67 6C ..y... . ...angl
0158C0: E5 F1 0E 20 FA 64 C5 20 0D 00 00 78 B1 F1 0D 00 ... .d. ...x....
0158D0: 00 63 F8 20 FA 20 0D 00 00 63 F9 EE 0D 00 00 79 .c. . ...c.....y
0158E0: B1 20 EB 20 0D 00 00 74 68 65 74 E1 EF 10 F6 FF . . ...thet.....
0158F0: 44 F5 0D 00 00 74 68 65 74 E1 01 0D 00 00 61 6E D....thet.....an
015900: 67 6C E5 EF F5 0D 00 00 61 6E 67 6C E5 01 0D 00 gl......angl....
015910: 00 66 67 F8 EF 0F 01 0D 00 00 71 EC EF 1A F9 25 .fg.......q....%
015920: 01 A0 20 1E 20 26 00 66 00 19 26 A1 20 0D 00 00 .. . &.f..&. ...
015930: 78 B2 F1 0E 20 FA 20 0D 00 00 79 B2 F1 0E 20 FA x... . ...y... .
015940: 20 0D 00 00 61 6E 67 6C E5 EE 0E 20 FA 20 0D 00 ...angl... . ..
015950: 00 78 B1 EE 0D 00 00 63 F8 20 FA 20 0D 00 00 63 .x.....c. . ...c
015960: F9 EE 0D 00 00 79 B1 20 EB 20 0D 00 00 61 6E 67 .....y. . ...ang
015970: 6C E5 EF F5 0D 00 00 61 6E 67 6C E5 01 0D 00 00 l......angl.....
015980: 71 EC EF 1A 19 26 01 A0 20 1E 20 26 00 7C 00 20 q....&.. . &.|.
015990: 26 9E 20 0D 00 00 EB EF 0D 00 00 74 68 65 74 E1 &. ........thet.
0159A0: 20 EC 20 0D 00 00 74 68 65 74 E1 F5 0D 00 00 61 . ...thet.....a
0159B0: 6E 67 6C E5 20 E6 20 F5 FF 14 28 0D 00 00 61 6E ngl. . ...(...an
0159C0: 67 6C E5 29 F6 FF 44 11 2B F7 19 10 01 0D 00 00 gl.)..D.+.......
0159D0: 78 F0 EF FF 15 28 0D 00 00 EB 29 F6 0D 00 00 72 x....(....)....r
0159E0: 61 64 69 75 F3 F4 0D 00 00 63 F8 01 0D 00 00 79 adiu.....c.....y
0159F0: F0 EF FF 05 28 0D 00 00 EB 29 F6 0D 00 00 72 61 ....(....)....ra
015A00: 64 69 75 F3 F4 0D 00 00 63 F9 00 43 00 3E 26 A1 diu.....c..C.>&.
015A10: 20 0D 00 00 EB EF 0D 00 00 74 68 65 74 E1 20 EB ........thet. .
015A20: 20 BC 20 0D 00 00 78 F0 2C 0D 00 00 79 F0 2C 0D . ...x.,...y.,.
015A30: 00 00 63 6F EC 20 01 97 20 94 20 0D 00 00 78 F0 ..co. .. . ...x.
015A40: 2C 0D 00 00 79 F0 2C 0D 00 00 63 6F EC 00 0B 00 ,...y.,...co....
015A50: 48 26 B0 20 0D 00 00 EB 00 2B 00 52 26 A1 20 0D H&. .....+.R&. .
015A60: 00 00 66 67 F8 EF 0F 20 EB 20 94 20 0D 00 00 78 ..fg... . . ...x
015A70: B1 F4 0D 00 00 78 B2 2C 0D 00 00 79 B1 F4 0D 00 .....x.,...y....
015A80: 00 79 B2 00 1F 00 53 26 A1 20 0D 00 00 66 67 F8 .y....S&. ...fg.
015A90: EF 10 20 EB 20 94 20 0D 00 00 78 B1 2C 0D 00 00 .. . . ...x.,...
015AA0: 79 B1 00 06 00 5C 26 C9 00 00 00 00 00 00 00 00 y....\&.........
015AB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
015AC0: 00 00 00 00 00 00 00 00 00 70 C0 FF FF FF FF .........p.....
RESULT OF SEARCH :
PRO=19 CHEA=0 COD=0 MUSI=0 COP=0 GRA=16 WRIT=0 198=2 199=0 STARTER=0 KBI=0 CAAV=0 L.TOURNIER=0
jjj,MODULO-EpJjjj'L &,,m,M, ,( ) #,,(,, #,,$,, 0, % , , , , w ,,,,
,,,, ,,,,,,,, ,,,,,,,, ,,B,,,,,B, ,,,,,,,, ,,,,,,,, ,,,,,,, ,,,,, ,,,,, ,,,,,,,,
()" " % ()( )( )" " " "f& Q ()()()"
"()( )()" " ()()()" "()
, * PEN pPRINT CHR$(31)CHR$(x)CHR$(y) s PRINT CHR$(v)GOTO 16a PAPER 3
PEN 1FOR t1 TO 4READ l$PRINT CHR$(31)CHR$(3)CHR$(12+t)l$NEXT tPAPER 3PEN 0 ,
" Cursos Educativos MONSER " , " " , " MATEMATICAS " , "
" ()( )() , "MONSER, S.A. presenta"E ()()()" MODULO E " CHR$(254
)" N.P.O.Green"C PRINT CHR$(31)CHR$(2)CHR$(21)"Traducido por Grupo Fombella" ()(
)()" "()" MGONSER, S.A. 1986""!mode0 13,8,2,140,140,32,136,140,32,132,32,13
6,01 13,9,2,133,32,133,133,32,133,135,132,138,03 13,10,2,135,131,32,135,131,133,
133,130,142,00 13,11,2,129,32,32,129,32,129,129,32,130,0ZL 3,3,1,214,0,3,4,1,143
,0I,3,5,1,212,0,4,4,0,215,0,4,5,0,213,0,6,4,1,214,0,6,5,1,212,06V 7,4,0,215,0,7,
5,0,213,0,8,4,1,214,0,8,5,1,212,0 9,4,0,215,0,9,5,0,213,0Sj 28,3,0,248,32,249,0,
29,3,1,253,0,28,4,0,143,245,143,0,28,5,0,251,250,252,0,0%k " + "&l "
" %m " " %n " "'Tjjj,MODEpjjjj + &,,m,M, ,( )
( #,,(,, #,,$,, , ,, , , , , ,,,,,,,, ,,8,,,,,, ,,f,,,,f,, ,,f,,,,f,,o ,,,l
,,,,, ,,b,,,,f,, ,,f,,,f,f,, ,,f,,,,,, ,,f,f,,f,f,, ,,f,f,,,f,, ,0,H,H,0 ,,,,,,,
, ,,,l,8,l,,,k ,,ef,f,f,,,, ,,,,,,,, ,,,,,,,, ,0,,0,,0 ,,d, ,,,l,8,l,,, Y dZ #,,
$,, ()()()"MODULOS DE APRENDIZAJE 22-27"()()()"MATEMATICAS" "22. Probabilida
d definicion.""23. Probabilidad suma." "24. Probabilidad producto.""25. Trigonom
etria.""26. Relacioness.""27. Trigonometia tridimensional." kd Z ()()()" Cuand
o veas el mensaje inferiorpulsa para abandonar el modulo" #& #,,$,, H "
" () () q ,$,, Z ,4, ()()()" INTRODUCE el numero del modulocon e
l que deseas9 trabajar (0 si has termina
do). "" " C"" C "" ()0 " " '#B ()0 ()9 () () ,, C ,,( () 7
() ,, ,,( , () q() I () ,, ,,( 2 ,4, ()()()T . () ,, ,,( q
q ,4, ()()()"MATEMATICAS" ()()()"Modulo" q , qi, qi, qi, qi, qi, qi, q
i, qi, qjjj,MODEpSjjji i, qi1, qi1, qi1, qi1, qi1, qi1, qi1, qi1, qi1, ,4, q
q ()()() " Quieres trabajar con las ayudasantes de intentar las preguntas
Pulsa (S/N) " ,4, S # qi qi qi qi qi
qi qi qi qi # ,4, S # ,$ L vva,,, , , nls nls ( ) ()()( )( )(
,(( ))) ()( )( )"" ( () ()E()) "." L qi1 qi1 qi1 qi1 qi1
qi1 qi1 qi1 qi1 qi1 R+ # S # -L p h b hin 8Q hin ()()()"
PRUEBA DE NUEVO"eS #,,$,, "INTRODUCE RESPUESTA" #,,$,,"" "" QV () () ()(
) u(, )X ()()()" "()( )( )u(,()()) ()( )( )u(, ) rZ vva !
vc () G () ((, ,)). vc vc# ((, ,)())0 ((, ,)()). ((, ,)())+ ((, ,)()
)- ((, ,)())9 Rb ((, ,))+ ((, ,))- ((, ,)). jd (d*) e ((, ,))/ ((, ,))
jg () h ((, ,))+ ((, ,))- j vc *k ()() rl ()()cjjj,MODEpjjjj m
ar ()()()"CORRECTO" ,8, ,G, # t h t ()()()"UNIDADES!
" ,, ,,( hin hin # ()( )( )(" ", ) nls ( ) ()( )( )""
(()()(E)) "." hin h. h ! hin h Q n ()()()" NO " ,, ,,( hin hin #
nls ()()( )( )(,(( ))) ()( )( ) ()( )( )"" (()()(E)) "." hin h h
! hin h Q # $ p p #,,%,,k ,4, ,Y, ( ) h b3 ( )"" (
)" "h ()()( p )u(( ),)(" ",(( ))) pt p + ()()
()" " S # ()()()" En este modulo has tenido
respuestas correctas sin ayudas"x ()()( )" Si necesitas mas ayuda tra
bajacon las sEiguientes secciones delos CURSOS EDUCATIVOS MONSER." ()( )(
) " sobre " L ()()()"MUY BIEN" ,z, ,, ,k, + q ,,,7/,,, 8 ()()()" Eje
rcicio 13a, pag. 108." ) ()()()" Pag. 109." 8 ()()()" Ejercicio 13b, pag. 113.
" L ()()()" "()()()" Capitulo 17 pag. 148." . ()&jjj,MODEp,jjjj ()()" Pags. 1
52-157." 8 ()()()" Ejercicio 18c, pag. 168." ()()()() 0 ( ),(8 ), ,
,4, t t ( ),(8 ), , 8 , ()() ()() , ,0, ()()()"133" x yP x y anglD %
,4, ()()()"180" ()()()"180+133313" x x x y y /y x y anglDGz % # n ()()()" t
""donde"" fnumero de sucesos FAVORABLES""y tnumero total de sucesos." " La seri
e de todos los sucesos(resultados) equiprobables (conidentica probambilidad) s
e llamaSERIE DE POSIBILIDADES y se in-dica con E." #a "La probabilidad de que
salga un'3', se escribe Pr(3), es "()()()"12"6 "(ya que hay 4 treses en 12 n
u-meros)" #w ()()()"Pr(2), y za que hay 3 doses 10 'entre 10 numeros."
()()()"2, 2, 2" # ()()()"2, 2, 2, 3, 3"()()()"Pr(3), ya que hay 2 treses
10 entre 10 numeros." # # ()()()"1, 2, 2, 2,"M()()()"Analogamente""Pr(1 o 3
). 10" # p p ( ), ., ,. ., ,. x c yl r &
h " De estos 12 resultados, en 1/6 salio 1 en el dado, y en 1/2 salio C en
la moneda. " # " Pr(par y C), (3 de los 6 2 12 12) Pr(4
y C), (2 de los 6 2 12 12)" # "necesitamos usar la defi
nicionde seno, coseno1 y tangente parahallar los lados y angulos deltriangulo
." # # ()()()"A"()()()"P" ()()()"B"()()()"Q" t t ,4, ()()()"B" ()jjj,M
ODEp!jjjj ()()"Q" ()()()"C"()()()"R" t t ,4, ()()()"C"()()()"R" ()()()"D
"()()()"S" t t " #l ()()()"A"()()()"B"()()()"Q" 0, , #B ()()()"B" ,4
,d ()()()"3." "(1,C),(2,C),(3,C),(4,C),(5,C), (6,C),(1,+),(2,+),(3,+),(4,+),
(5,+),(6,+)" #" ()()()()()"R"()()()"S"()()()"B"()()()"0.5"()()()"km"# ()()()"3k
m"()()()"140"()() x4 y0 x y anglD % #k& ()()()()()"N"()()()"R"()()( )"B"()()()"S
"' ()()()"240"()()()"1km"()()()"5km"()()0 # ()()()"A"*()()()"B" t t ,4,
()()()"A" ()()()"C" t t ,4, 1 ()()()"B" ()()()"D" t t ,4, ()W()()
"C" ()()()"A" #w ()()()"A"()()()"R"()()()"C" ,0 ,p ,0 #rD ()()()"A"()()
()"S"()()()"D" 0,, 0,p # # " Luego pulsa una tecla para verla forma de hac
erlo." # l ,4, 4, , t t, ,4, , , t Wt, , ,
, ()()()"P"()() #7 #,,$,, "INTRODUCE LAS UNIDADES"$ ()()()() C "" ! ( )
' ( ) #,jjj,MODEp)Njjjj ,$,,! () () u(,()) J () $ ()()
()()" " nls % (" 5 ", )Hq 10,6,.8,.9,.1,1.1,.2,.5,.5,.5,.1,.
5,1.1,1.2,1.4,1.9,2.4,2.5,.9,.1Gr 6,4,.8,.9,.1,1.1,.2,.5,.5,.5,.1,.5,1.1,1.2,1.4
,1.9,2.4,2.5,.9,.1Is 19,10,.8,.9,.1,1.1,.2,.5,.5,.5,.1,.5,1.1,1.2,1.4,1.9,2.4,2.
5,.9,.1Ht 15,6,11,.9,.1,1.1,.2,.5,.5,.5,.1,.5,1.1,1.2,1.4,1.9,2.4,2.5,.9,.1Cu 4,
3,.8,.9,.1,1.1,.2,.5,.5,.5,2,3,4,1.2,1.4,1.9,2.4,2.5,.9,.1Hv 12,5,.8,.9,.1,1.1,.
2,.5,.5,.5,.1,.5,1.1,1.2,1.4,1.9,2.4,2.5,.9,.1K ()()()"PROBABILDAD DEFINICION"
,4, A I! w S # ,4,d ()()()"2. Se escoje un numero de entre"" 1, 1, 1, 2
, 2, 3, 4, 5" K ()()()"PROBABILIDAD-REGLA SUMA" ,4, ! S # ,4,d ()()()"
2. Se escoje un numero al azarde entre los siguientes""1, 2, 2, 3, 3, 3, 5, 5,
5, 7, 7" S # ,4,d ()()()"2. Se escoje un numero al azarde entre los sigu
ientes ""1, 2, 2, 3, 3, 3, 5, 5, 5, 7, 7" O ()()()"PROBABILIDAD-REGLA PRODUCTO
" ,4, q! S # ,4,d ()()()"2. Se eligen libros sin reempla-zar de una esta
nteria que tiene 7 libros en frances, 8 en ale-man y 5 en italiano. responde""
(USuA fraciones ej. 6/18)." F% ()( )()"TRIGONOMETRIA" ,4, ! * S # !+
()()()()()"10cm"()()()"7.5cm"()()( )"51.2" ()()()"B" ,4,d ()()()"2."d, " En e
l triangulo""ABC,BX es""perpendicular""a AC,AB7.5cm,""AC10cm y""BAC51.2"- ()()()
" Contesta a las siguientes pre-guntas usando 3 cifras signifi-cativas cuando
sea necesario."()vYjjj,MODEp1jjjj () # / S # !0 ()()()()()"8cm"()()( )"35"()
()()"25" x y x y anglD % a1 " En el triangulo""ABC,BX es""perpendicular""a AC,A
B8cm,""XBC25 y""BAC35"2 ()()()" Contesta a las siguientes pre-guntas usando 3 c
ifras signifi-cativas cuando sea necesario."()() # C9 ()()()"RELACIONES" ,
4, ! S # ()()()" " ,4,d ()()()"2."" Un bote, B,""esta a 5km""de una roca
,R" "con un angulo""de 240"A "Un nadador,S"" esta a 1 km.""al sur de R" ! SM
()()()"TRIGONOMETRLIA,3-DIMENSIONAL" ,4, ! Q S # ,4,d " " ()()()"2."" calcu
la la""tangente de cada""uno de los angulos""siguientes""(USA fraciones""y no de
cimales.""ej. 3/4.)" $" # ,, , , x y x y anglD % ()()()"S" ()() t,A,
"B" ()()()"133" k x y x y anglDfff& X% ()()()"251" # 0, ,P x0 y x y anglD %
x x, y y ()()()()()"71"()() # Ww 0,"2","",10,14,2,"a."," Pr(2) /10",1,3,""Eh
ay 2 doses","en E."," Pr(2)2/10"Wx 0,"1","",10,14,2,"b."," Pr(5) /10",1,3,"
hay 1 cinco","en E."," Pr(5)1/10"Xy 0,"6","",10,14,2,"c.","Pr(par) /10",1,3,"
hay 6 pares","en E."," Pr(par)6/10"iz 0,"4","",10,14,2,"d."," Pr(5) /10"$,1,
3,"hay 4","numeros mayores","que 5 en E."," Pr(5)4/10"i 0,"7","",10,14,2,"e.","
Pr(2) /10",1,3,"hay 7","numeros mayores","que 2 in E."," Pr(2)7/10"T 0,"2",""
,10,14,2,"a."," Pr(2) /8",1,3,"hay 2 doses","en E."," Pr(2)2/8"T 0jjj,MODEp9
jjjj ,"1","",10,14,2,"b."," Pr(5) /8",1,3,"hay 1 cinco","en E."," Pr(5)1/8"
0,"3","",10,14,2,"c.","Pr(par) /8",1,3,"hay 3 numeros","pares en E."," Pr(par)
3/8"h 0,"0","",10,14,2,"d."," Pr(5) /8",1,3,"no hay","numeros mayores","que 5
en E."," Pr(5)0/8"g 0,"3","",10,14,2,"e."," Pr(2) /8",1,3,"hay 3","numeros m
ayores","que 2 in E."," Pr(2)3/8" 1,"3/7","",11,14,5,"a.","Pr(3 o 5)","","USA fr
aciones","Ej. 5/9.",2,2," Pr(3 o 5)","Pr(3)+Pr(5)",2,"1/7 + 2/7","3/7" 1,"2/7","
",11,14,5,"b.","Pr(2 o 3)","","Usa fraciones","Ej. 5/9.",2,2," Pr(2 o 3)","Pr(2)
+Pr(3)",2,"1/7 + 1/7","2/7" 1,"3/7","",11,14,5,"c.","Pr(5 o 7)","","USA fracione
s","Ej. 5/9.",2,2," Pr(5 o 7)","Pr(5)+Pr(7)",2,"2/7 + 1/7","3/7" 1,"6./11","",11
,14,5,"a.","Pr(3 o 5)","","USA fraciones","Ej. 5/9.",2,2," Pr(3 o 5)","Pr(3)+Pr(
5)",2,"3/11 + 3/11","6/11" 1,"5/11","",11,14,5,"b.","Pr(2 o 3)","","USA fracione
s","Ej. 5/9 .",2,2," Pr(2 o 3)","Pr(2)+Pr(3)",2,"2/11 + 3/11","5/11" 1,"5/11",""
,11,14,5,"c.","Pr(5 o 7)","","USA fraciones","Ej. 5/9.",2,2," Pr(5 or 7)","Pr(5)
+Pr(7)",2,"3/11 + 2/11","5/11"P 1,"5/12","",1,15,3,"a.","Pr(1o. toffe)","",1,2,"
Pr(1o. toffe)"," 5/12"l 1,"5/12","",1,16,4,"b.","Pr(1o. toffe","y0 2o. de menta
)"," x .",1,2,"Pr(1o. toffe)"," 5/12" 1,"3/11","",6,16,4,"b.","Pr(1o. t
offe","y 2o. de menta)","5/12x",1,3,"solo quedan 11","Pr(2o. de menta)"," 3/11"
k 1,"5/12","",1,16,4,"c.","Pr(1o. toffe","y 2o. toffe)"," x .",1,2,"Pr(1
o. toffe)"," 5/12" 1,"4/11","",6,16,4,"c.","Pr(1o. toffe","y 2o. toffe)","5/1
2x",1,5,"solo quedan 11,","de los que 4","son toffes","Pr(2o. tofee)"," 4/11"s
1,"3/12","",1,16,4,"d.","Pr(1o. de menta","y 2o. de menta)"," x .",1,2,
"Pr(1o. de menta)"," 3/12" 1,"2/11","",6,16,4,"d.","Pr(1o. de menta","y 2o. de
menta)","3/12x",1,5,"solo quedan 11,","de los que 2 son","de menta","Pr(2o. de m
enta)"," 2/11"p 1,"3/12","",1,16,4,"e.","Pr(1o. de menta","y 2ojjjj,MODEpAjjjm
. toffe)"," x .",1,2,"Pr(1o. de menta)"," 3/12" 1,"5/11","",6,16,4,"e."
,"Pr(1o. de menta","y 2o. toffe)","3/12x",1,5,"solo quedan 11,","de los que 5","
son toffes","Pr(2o. toffe)"," 5/11"x 1,"7/20","",1,16,4,"a.","Pr(1o. Frances",q
"y 2o. Frances)"," x .",1,4,"Pr(1o. en ","Frances)",""," 7/20"q 1,"6/19"
,"",6,16,4,"a.","Pr(1o. Frances","y 2o. Frances)","7/20x",1,4,"Pr(2o. en","Franc
es)",""," 6/19" 1,"7/20","",1,17,5,"b.","Pr(1o. Frances","y 2o. en","Italiano)"
,)" x .",1,4,"Pr(1o.en","Frances)",""," 7/20"x 1,"5/19","",6,17,5,"b.","
Pr(1o. Frances","y 2o. en","Italiano)","7/20x",1,4,"Pr(2o. en","Italiano)","","
5/19"z 1,"7/20","",1,16,4,"c.","Pr(1o. Frances","y 2o. en Aleman)"," x
.",'$1,4,"Pr(1o. en","Frances)",""," 7/20"r 1,"8/19","",6,16,4,"c.","Pr(1o. Fra
nces","y 2o. en Aleman)","7/20x",1,4,"Pr(2o. en","Aleman)",""," 8/19"x 1,"8/20"
,"",1,16,4,"d.","Pr(1o. en Aleman","y 2o. Frances)"," x .",1,4,"Pr(1o. en
","AlemOan)",""," 8/20"s 1,"7/19","",6,16,4,"d.","Pr(1o. en Aleman","y 2o. Fran
ces)","8/20x",1,4,"Pr(2o. en","Frances)",""," 7/19" 1,"8/20","",1,17,5,"e.","Pr
(1o. en Aleman","y 2o. en","Italiano)"," x .",1,4,"Pr(1o. en","Aleman)","
"," 8/2%0"z 1,"5/19","",6,17,5,"e.","Pr(1o. en Aleman","y 2o. en","Italiano)","
8/20x",1,4,"Pr(2o. en","Italiano)",""," 5/19"z 0,"2.57","cm",6,14,2,"a."," BX
",3,1,"sen40BX/AB",1,"BXABsen40",3," 4x0.6428"," 2.5712","2.57 con 3 cs."h 0,"
3.06","cm",6,14,2,"b."," AX",2,1,"AXABcos40",3,"AX4x0.7660"," 3.064","3.06 co
n 3 cs."d 0,"2.94","cm",6,14,2,"c."," XC",2,1,"XCAC-AX",3," 6-3.064"," 2.936
","2.94 con 3 cs." 0,"41.2","",6,15,3,"d."," Angulo BCX,"," BCX ",2mI,4,"tan
BCXBX/XC"," "," 2.936"," 0.8757",1," BCX41.2" 0,"3.90","cm",6,1
4,2,"e."," BC",3,1,"senBCXBX/BC",3," BCBX/senBCX"," "," 0.6587",
2," 3.903","3.90cm con 3 cs." 0,"5.85","cm",6,14,jjj,MODE pIPjjjm 2,"a.","
BX",3,1,"sen51.2BX/AB",1,"BXABsen57.2",3," 7.5x0.7793"," 5.845","5.85 con 3
cs." 0,"4.70","cm",6,14,2,"b."," AX",2,1,"AXABcos51.2",2," 4.6995","4.70 con
3 cs." 0,"5.30","cm",6,14,2,"c."," XC",2,1," XCAC-AX",2," u 10-4.699","5.30
con 3 cs." 0,"47.8","",6,15,3,"d."," Angulo BCX,"," BCX ",2,4,"tanBCXBX/XC",
" "," 5.301"," 1.103",1," BCX47.8"£ 0,"7.89","cm",6,14,2,"e.","
BC",3,1,"senBCXBX/BC",3," BCBX/senBCX"," "," 0.7409",2," 7
.889","7.89 con 3 cs."y 0,"4.59","cm",6,14,2,"a."," BX",3,1,"sen35BX/AB",1,"BX
ABsen35",3," 8x0.5736"," 4.589","4.59 con 3 cs."O 0,"6.55","cm",6,14,2,"b.","
AX",2,1,"AXABcos35",1,"6.55 con 3 cs."j 0,"2.14","cm",6,14,2,"c."," XC",2,2,"
tanCBXXC/BX"," XCBXtan25",2," 2.139","2.14 con 3 cs."X 1,"65","",6,15,3,"d.","
Angulo BCX,"," BCX ",1,2,"BCX90-XBC"," 65" 0,"5.06","cm",6,14,2,"e.","
BC",3,1,"cosCBXBX/BC",3," BCBX/cosCBX"," "," 0.9063",2," 5.0
62","5.06 con 3 cs." 1,"133","",9,15,3,"a.","La relacion de","B con S ",3,8,
"Haz el","problema paso","a paso.","BRS40","BP3sen40"," 1.928 con 4 cs","RP3cos
40","2.298 con 4 cs",8,"SPPR-0.51.798","tanSBP"," 1.928"i " 0.9326","
SBP43","","","",8,"","","","",""," BSP90-4347","relacion","B con S133"B 1,"313
","",9,15,3,"b.","La relacion de","S con B ",1,1 " 313" 1,"251","",
9,15,3,"a.","La relacion de","B con S ",3,8,"Haz el","problema","paso a paso.
","BRS60","BP5sen60","4.330 con 4 cs.","RP5cos60"," 2.5",8,"SPPR-11.5","tanBSP"
," 1.5"," 2.887" " BSP71","","","",89,"","","","","","relacion de","
B con S180+71"," 251"H 1,"71","",9,15,3,"b.","La relacion de","S con B
",1,1," 71" 0,"C","",12,16,4,"a. El angulo","entre RB y","la base ABCD es","el
angulo RB .",1,1," C" 0,"C","",12,16,4,"b.jjj,MODEpQojjjn El angulo","entre RA
y","la base ABCD es","el angulo RA .",1,1," C" 0,"C","",12,16,4,"c. El angulo","
entre RD y","la base ABCD es","el angulo RD .",1,1," C" 0,"B","",12,16,4,"d. El
angulo","entre QD y","la base ABCD es","el angulo QD .",1,1," B"a 1,"1/3","",7,1
6,4,"a. Si el angulo","entre QC y","la base es y,"," tany",1,1," tany1/3"u 1,"1
/5","",7,16,4,"b. Si el angulo","entre QD y","la base es z,"," tanz",2,1,"BD5(P
itagoras)",1," tanz1/5"a 1,"1/5","",7,16,4,"c. Si el angulo","entre RA y","la ba
se es x,"," tanx",1,1," tanx1/5"a 1,"1/3","",7,16,4,"d. Si el angulo","entre RB
y","la base es y,"," tany",1,1," tany1/3"a 1,"1/4","",7,16,4,"e. Si el angulo"
,"entre RD y","la base es z,"," tanz",1,1," tanz1/4"aJ 1,"1/3","",7,16,4,"f. Si
el angulo","entre SA y","la base es x,"," tanx",1,1," tanx1/3"a 1,"1/5","",7,1
6,4,"g. Si el angulo","entre SB y","la base es y,"," tany",1,1," tany1/5"a 1,"1
/4","",7,16,4,"h. Si el angulo","entre SC y","la base es z,"," tanz",1,1," tanz
1/4"& q !,",#,$,%,&1! ,,,,,,,,Q" ,,,,,,,,,,,,, ,,, # ,,,,,,,,,,,,,,,
,!,",#,$I$ %,&,',(,),*,+,,,-,.,/,0,1,2,3Q% 9,,,,,,,,A,B,C,D,E,F,G,H,IQ&
M,N,O,P,Q,R,S,T,U,V,W,X,Y,QZ,,,&R q S,T,U,V,W,X1S y,z,,,,,,,V ,,,,,*,,
,,,/,,,,,,,,,%W ,,,,,X ,,D1,,,,, ,!,",#,$& q ,,,,, q r s t u v& q ,,
,%,9,M&L q M,X,,s,,5M N,O,P,Q,Rjjj,MODEpYjjjm ,S,T,U,V,WN wO xP yQ zR S T U
V W %X Y,Z,,,,Y Z Y ,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r a b c d e f
g h i j k l m n# o p q r Is t,u,v,w,x,y,z,,,,,,,,t u v w x y z £ S
,,, ,,,,,,,,,,, P C"" , ()()()()"" C "" ! ( ) ( ) & ()
() !" () , () u(,()) J6 q () A $J ()()()()" " T I!b C"" I
!J!C "" J! "N" "n" W! K! "S" "s" J!L! ,4, S # ()()()" La PROBABILIDAD
de un suceso sedefine como"()()()()()"Prf"()""()() M! S # ()()()"ej. si selec
ionamos un numero alazar de entre"" 1,2,3,3,3,3,4,5,5,7,8,9," N! ()()()"3,3,3
,3"()()()" Analogamente"" Pr(2) y Pr(5)"()()()" jjj,MODE pajjjm 12"()
()()" 12"O! # S # ()()()"1,2,3,3,3,3,4,5,5,7,8,9"()()()"La probabilidad
de que sea par Pr(par)"()( )()" 12"P! # ()()()"1,2,3,3,3,3,4,5,5,7,8,
9"()()()"y"" Pr(mayor que 5) 12" # Q! ##R! C""
R!S!C "" S! "S" "s" L! T! "N" "n" S!W! S # ,4,d ()()()"1. Se elige
un numero al azarde entre"" 1, 2, 2, 3, 4, 5, 7, 8, 8, 10" ! C"" !!C "" !
"N" "n" g! ! "S" "s" !! ,4, S #pa! ()()()" Se elige un numero al azar
deentre"" 1, 2, 2, 2, 3, 3, 4, 4, 4, 4" # b! ()()()"2, 2, 2"()()()"Pr(2 o 3),
ya que hay 5 doses 10 o treses, pero ningun numero
esa la vez 'dos y tre3s'." c! S # ()()()" Cuando dos sucesos, A y B, sonmutu
amente excluyentes inde-pendientes, entonces"" Pr(A o B)Pr(A)+Pr(B)" #
()()()"+" ##d! C"" d!e!C "" e! "S" "s" ! f! "N" "n" e!g! S # ,4,d ()
()()"1.Se escoge un numero al azar deentre"" 1, 2, 3, 5, 5, 7, 9" q! C"" q!
r!C "" r! "N" "n" P! s! "S" "s" r!t! ,4, S #u! ()()()" Cuales son los
resultados posi-bles cuando arrojamos a la vezun dado y una moneda" # zv! ()(
)()"1"()( )()"C"()()()h,"o"()()()"1"()()()"+" #dw! ()()()"2"()( )()"C"()()()"2"
()()()"+" #x! ()()()"3"()( )()"C"()()()"3"()()()"+""etjjj,MODEpijjjm c.""La ser
ie completa de posibilida-des puede escribirse" y! S # ()()()"La serie complet
a de posibilida-des puede escribirse""(1,C),(2,C),(3,C),(4,C),(5,C), (6,C),(1,+
),(2,+),(3,+),(4,+), (5,+),(6,+)" zz! ()()()"Pr(1 y C),solo uno de los
6 2 12 12 resultadoscumple ambos requisitos." #! ()()( )" Pr(2 y C),(solo 1
de 6 2 12 los 12) Pr(6 y +),(solo 1 de 6 2 12
t8 los 12)" ! S # ()()()" La regla del producto de proba-bilidades dice
Si A y B son sucesos indepen-dientes entonces"" Pr(A y B)Pr(
A).Pr(B)" #! C"" !!C "" ! "S" "s" t! ! "N" "n" !! S # ,4,d ()()()"1.
Se eligen caramelos de entre5 toffes, 4 de chocolate, y 3 dementa sin reponerl
os.""(USA FRACCIONES ej. 6/18)." ! ,4, SDt # ()()()" Si tenemos un trian
gulo quecontiene un angulo recto, solo" ! ! ()()()()()"6cm"()()()"4cm"()()(
)"40" ,4,d ()()()"1."" En el trianguloY/""ABC, bx es"! "perpendicular""a AC, A
B4cm,""AC6cm y""BAC40"! ()()()" Responde a las siguientes pre-guntas usando dec
imales con trescifras significativas." , ()() # ! S # ,4,d ()()()"1."" Un bot
e, B,""esta a 3 km.""de una roca,R""con un angulo"," de 140.""Un nadador,S""esta
a 0.5 km.""al sur de R."! ()()()" Dibujate un diagrama y luegopulsa una tec
la para comprobarantes de responder lasC preguntassiguientes." # S #1! 4,P
,p ,0 ,p "! ()()()" Dibuja en tu diagrama las li-neas perpendiculares que
creasconvenientes para hallar larelacion entre B y S." ! -jjj,MODEpq.jjjm !
()()()" Dibuja un diagrama y despuespulsa una tecla para comprobarantes de
responder las siguien-tes preguntas." # S #u! , ,P ,0 , x y. x y anglDff
f& % &! ()()()" Dibuja en tu diagrama las li-neas perpendiculares que creasc
onveniente para calcular larelacion entre B y S. Luego pulsa una
tecla para verla forma de hacerlo."Y! # t d ,4, , , t t, ! ,
4, , , t t, , , , ()()()()()"P"()() # ! C"" !!C "" ! "N" "n" ! !
"S" "s" !! ,4, S #! " ()()()" Observa esta""caja rectangular.""Si la base
es""horizontal, todas""las lineas""contenidas en""ella son""fhorizontales." 0!
()()( )" Toda linea perpendicular a labase es vertical." # ()()()"D" ()()()
"P" t t ,4, ! # " ()()( )" Para encontrar el angulo entreuna linea y la
base, dibuja unaperpendicular desde un punto dela linea a la base
Asi el angulo entre QA y la basees el angulo QAB." ! # " ()()( )" El angulo en
tre RA y la base esel angulo RAC." &! # " ()()( )" El angulo entre SA y la bas
e esel angulo SAD." D! C"" !!C "" ! "S" "s" ! ! "N" "n" !k! S # ,4,d
" ()()()"1.""Completa las""letras que""falten" ! , , , p, , , , , co x
y x y anglD %! ()()()()()"B"()( )jjj,MODEpy*jjjm ()"A"()( )()"C"()()()"X"()()
v" ()()()"A"()()()"B"()()()"C"()()()"D"()()()"P"H" ()()()"Q"()()()"R"()()()"S"£"
0, , 0,0 , 0,0 , , ( ), , " ()()()()()"4cm"()()
()"3"()()( )"cm"z()()()"1"()()()"cm"()() # C"" ## #,,$,, "pulsa la barra para s
eguir"w #inC IN"" # in"" !# in" " # ,4, #,,$,, K+&!# #,,$,, ## ,
()() ()()()" Quieres volver a repasr lasayudas antes de responder a laspreg
untas Pulsa (S/N) " '# ()()()" Para u
sar el modulo de nuevo, pulsa R Pulsa S para acabar.
"# C"" ##C "" ## "R" "r" )# "S" "s" ,k,2 # ## , ()() ()m()()"
Quieres volver a repasar lasayudas antes de responder a laspreguntas
Pulsa (S/N) " 2# #,,$, s, #,,$,, ,$ #,,,,
#,,$,, #,,$,, ()()( )"HINTS" ()()( )"ANSWERS"% x x x y y y x z y w% % fg&% y
y y %H0% y y y x x x y y x x 9%s% chor( x y) radiu chor((( angl))) m x x m y y
0X% lencentm( radiu( chor))6% y gradcentm( x) l%b% gradcentm x yl% jjj,MODEpj
jjY thet( gradcentm) distu lencentm( thet) distalon lencentm( thet) c m( angl) d
istu c m( angl) distalon&v% x c thetD %7% thetD((( C y)( cWI x))) % x y
angl x c y c thet thetD &% x y angl x c y c thetD thet &q% x
y angl c x co y thetD thet angl angl &c% x y angl c x c y
thetD thetD &q% x y angl x c c y thet thetD angl a ngl &% x y
angl c x c y thetD thet &% x y angl c x c y thetD thet &q%
x y angl c x c y thetD thet angl angl &% x y angl c x c y
thet thetD &% x y angl x c c y thetD thet &a% x y angl x c
c y thetD thet & % x y angl x c c y thetD thet angl angl fg &f&
x y angl c6 x c y thetD thetD & & x y angl c x c y th
etD thet &a& x y angl x c c y thet thetD & & x y angl x c
c y thetD thet && x y angl x c c y thet thetD && x y angl
x c c y jjj,MODEpjjj'angl angl && x y angl x c c y thet thetD &
& x y angl x c c y thetD thet &&"unchanged" & thet thet angl (
angl)D x( ) radiu c y( ) radiu cC& thet x, y, co x, y, coH& +R& fg
x x, y y&.& x x y y r rR& D D x x R( ) y y R( ).& x, y x, y & )jj
j,MODULO-Fp1jjj'L &,,m,M, ,( ) #,,(,, #,,$,, 0, % , , , , w ,,,,,,,
, ,,,,,,,, ,,,,,,,, ,,B,,,,,B, ,,,,,,,, ,,,,,,,, ,,,,,,, ,,,,, ,,,,, ,,,,,,,, ()
" " % ()( )( )" " " "f& Q ()()()"
"()( )()" " ()()()" "()
, * PEN pPRINT CHR$(31)CHR$(x)CHR$(y) s PRINT CHR$(v)GOTO 16a PAPER 3PEN
1FOR t1 TO 4READ l$PRINT CHR$(31)CHR$(3)CHR$(12+t)l$NEXT tPAPER 3PEN 0 , " C
ursos Educativos MONSER " , " " , " MATEMATICAS " , "
" ()( )() , "MONSER, S.A. presenta"E ()()()" MODULO F " CHR$(254)"
N.P.O.Green"C PRINT CHR$(31)CHR$(2)CHR$(21)"Traducido por Grupo Fombella" ()()()
" "()" MONSER, S.A. 1986""!modf0 13,8,2,140,140,32,136,140,32,132,32,136,01
13,9,2,133,32,133,133,32,133,135,132,138,03 13,10,2,135,131,32,135,131,133,133,
130,142,00 13,11,2,129,32,32,129,32,129,129,32,130,0ZL 3,3,1,214,0,3,4,1,143,0N,
3,5,1,212,0,4,4,0,215,0,4,5,0,213,0,6,4,1,214,0,6,5,1,212,06V 7,4,0,215,0,7,5,0,
213,0,8,4,1,214,0,8,5,1,212,0 9,4,0,215,0,9,5,0,213,0Sj 28,3,0,248,32,249,0,29,3
,1,253,0,28,4,0,143,245,143,0,28,5,0,251,250,252,0,0%k " + "&l "
" %m " " %n " "'Tjjj,MODFpjjjj + &,,m,M, ,( ) ( #
,,(,, #,,$,, , ,, co , , , , ,,,,,,,, ,,8,,,,,, ,,f,,,,f,, ,,f,,,4,f,, ,,,l,
,,,, ,,b,,,,f,, ,,,f,f,,f,f, ,,f,f,,f,f,, ,,f,,,,f,, ,,l,f,f,f,l,, , ,P,, ,p ,,,
,,,,, ,,,,f,f,,, ,,,, ,, , ,p ,,,, ,P,, ,p ,,,,p,,p,,p ,,,,,P,x,, ,,,,, ,,,,,,P
, ,,,,F,,8, Y dZ ()()()"MODULOS DE APRENDIZAJE 28z-30"()()()"MATEMATICAS"
"28. Determinante e inversa de matrices (2X2)"i "29. Transformacion de Mat
rices""30. Halla la matriz que describe una Transformacion" kd Z ()()()" Cu
ando veas el mensaje inferiorpulsa para abandonar el modulo" #F "
" (),() q ,$,, Z ,4, ()()()" INTRODUCE el numero de modulo con el que de
seas trabajar (0 si has terminado)
"" " C"" C "" ()0 " " '#B ()0 ()9 () () ,, ,,( 8() 7 ()
,, ,,( , () q() I () ,, ,,( 2 ,4, ()()() . ()f ,, ,,( q q ,4,
()()()"MATEMATICAS" ()()()"Modulo" q , qi, qi, qi, qi, qi, qi, qi, qi, qi
, qi1, qi1, qijjj,MODFpjjjj 1, qi1, qi1, qi1, qi1, qi1, qi1, ,4, ()()() " Qu
ieres repasar con las ayudas antes de intentar las preguntas (pulsa S/N
) " ,4, S # qi qi qi qi qi qi qi qi
qi # ,4, S # ,$ L attmpt, vva,,, , , nls nls ( s£) ()()( )( )(,(( )))
()( )( )"" ( () ()E()) "." L qi1 qi1 qi1 qi1 qi1 mqi1
qi1 qi1 qi1 qi1 R+ # S # -L p h b hin 8Q hin ()()()"PRUEBA D
E NUEVO"SS #,,$,, l"INTRODUCE RESPUESTA" #,,$,,""QV () () ()( ) u(, )X ()(
)()" "()( )( )u(,()()) ()( )( ) rZ vva ! vc () G () (
(, ,)). vc vc ((, ,))0 ((, ,)). ((, ,))6+ ((, ,))- ((, ,))9 Rb ((, ,))+
((, ,))- ((, ,)). jd () e ((, ,))/ ((, ,)) jg () Eh ((, ,))+ ((, ,))-
j vc *k ()() rl ()() m ar ()()()"CORRECTO" ,8, ,G, jjj,MODF
pjjjj # t h d ()( )()"UNITS!" ,, ,,( hin hin # ()( )( )("
", ) nls ( ) ()( )( )"" (()()(E)) "." hin h h ! hin h
n ()()()" NO " ,, ,,e( hin hin # nls ()()( )( )(,(( ))) ()( )( )
()( )( )"" (()()(E)) "." hin 'attmpt h h ! hin h Q # $ p p #,,
%,,k ,4, ,Y, ( ) h b3 ( H)"" ( )" "a ()()(
p )( )(" ",(( ))) p p + ()()()" " S # ()()()" En este
moduclo has tenido reespuestas correctas si
n ayudas"x ()()( )" Si necesitas mas ayuda trabsajacon las siguientes secciones
de los CURSOS EDUCATIVOS MONSER." ()( )() " sobre " L ()()()"MUY BIEN
" ,z, ,, ,k, + q ,,,,,, ) ()()()" Pag. 179." 7 ()()()" Ejercicio 21, pag
. 187." ,F ()()()" Capitulo 21." ()()()"1 2"()()()"1 -2"()()()" "()()()" "(
)()()"3 8"()()()"3 4" xn y x y. anglD % jjj,MODFpfjjjj x y x y. anglD % xn yg
x y. anglD % x y x y. anglD %l x y x y. anglD % X, , , , , ()()()""()()()
"de 0 0.6 -0.8" xN y x y. anglD % x x y. anglD %z x y x y. anglD % x
y x y. anglD % x y. anglD % x y x y. anglD % x y x y. anglD % ,W , , , ,
()()()"0"()()()"5" a ,4,( ()()()"X" t t ,4, Z, , x y x y anglD % x y
x y anglD % ()()()"(4,3)" x y x y anglD % x2 y x y anglD %o ()()( )"llamamos
a la expresion ad-bc efldeterminante de ,y se escribe det o ." # ()()()"2x5-3
x4" # ()()()"2"()"5"()()( )"2"()()()"5" # ()()()"2x5-3x4" ()()( )"2 3"()()(
)"4 5" ()()( )"3"()()()"4"()()()"3"()"4" #y ()()()"2x5-3x4"()()( )"2 3"()()()
"4" ()( )()"-2" #* ()()0()"2x5-(-3)x4"g # ()()()"2"()"5"()()( )"2"()()()"5"
# ()()()"2x5-(-3)x4"()()( )"2 -3"()()()"4 5" ()()()"(-3)"()"4"yjjj,MODFp!jjji
()()( )"-3"()()()"4" # ()()()"2x5-(-3)x422 (cuidado con"" el s
igno 0)"()()( )"2 3"()()()"4" ()()()"22"()()()"-" #8 (#)()()"2x6-3x4" "0" #l
()()()"Todas las matrices cuyo determi-nante es cero se denominan SINGULARES
" #y # ()()( )" Primero intercambiamos a y d." ()()()"d"()(%)()"a" #w ()()()
" Luego cambiamos los signos de by c"()()()" d-b"()()()"-c a" #w # ()()( )"Pri
mero intercambiamos 2 y -5."()()()"-5"()()()"-4 2" #y ()()()"Luego cambiamos lo
s signos de 3y -4"()()()"-5-3"()()()" 4 2" #q # ()()()" Si 0, no hay invers
a, lasmatrices singulares no tieneninversa." # x yp x y anglD % x2 y x y an
glD % ,4, ()( )( )"-5 -3 2 3 1 0"" aqui, "()()()"2 4 2 -4 -5 0 1"()
()()"" x y x y anglD % x y x y anglD % x y x y. anglD % xP y x y. anglD % x y x
y. c+anglD % x y x y. anglD % # ##& xn y x y. anglD % x y x y. anglD % xn y x y
. anglDP % x y x y. anglD % 0 ()()()"3 4"()()()"3 -4"()()()" "()()()" "()()()"5
6"()()()"5 6" xn y x y. jjj,MODFp)Xjjji anglD %1 x y x y. anglD % xn y x y. a
nglD % x y x y. anglD %D ()()()"0 2""traslada P a P(6,8),""ya que,"()()()"2 0 3
6"()()()"0 2 4 8"()()()"" E x y x y. anglD % x y x y. anglD % x yN x y. oQ
anglD % x yN x y. anglD % x yN x y. anglD %F x yN x y. anglD % x yN x y. anglD %
xRuP yN x y. anglD %I , Z, , , , ,N x y x y. anglD % x y x y. anglD % ()()
()"traslada P a P(-3,4)""(reflexion respecto del eje Y)"X x y x y. anglD % x y x
y. anglD % ()()()"traslada P into P(-4,3)"lY "(rotacion alrededor del origen, d
e 90 grados en sentido contra-rio a las agujas del reloj (+)" b x y x y. anglD
% x y x y. anglD % ()()()"traslada P into P(5,3)"jc "(traslsada dos unidades par
alelasal eje X, y luego una paralelaal eje Y, en sentido negatico. "l ,4,( t
t ,, , , , t t ,, , , , ,4,(m t X t ,, , , , ()()()"X" , ()() ()()()"
P"()()( )"(5,3)" ,, #cv " La imagen (x,y) de un punto(x,y) viene dada por la t
rans- formacion anterior." F'jjj,MODFp1 jjji " ()()()" 1 1 0 1 1 3"()(
)()""()()()"+"()()()"" " ()()( )"X" " # t X t ,4,( ()()()"X" t X t ,4,
( ()()()"X" # ()()()" 0 1 0 0 1 4"()( )()""()()()"+"()()()"" " ()()()"
X" " # ,4,( ()()()"X" t X t ,4,( ()()()"X" t X t # ()()()" 2 1 0 2
1 1"()( )()""()()()"+"()()()"" " ()()()"X" " # t t ,4,( ()()()"X" t
X t ,4,( ()()( )"X" # # S # ,4,d ()()()"1."()()()"0.8 -0.6"()()()"0.6 0
.8" xN y x y. anglD % x y x y. anglD % ()()()"a"()( )()"c d"()()()"0"()()()"c"d
x y. ." x y. /" xN y. ." x y. /" x y. ." x y. /"k /" x y ." x y /" x y ." x y /
"y x( y x y. anglDA % xN y x y. anglD %B /" x y ." x y /" #V ()()()"y podem
os escribir la""matriz de la transformacion."d x yN ." x g yN /" xn yN ." x yN /
" "que cambia"()()()"1 1"" en y "" 0 1"" 0 -1"" en "" 1
1" x y ."v x y /" x y ."jjj,MODFp9Mjjjk x y /" x y ." x yi /" x y ." x
y /" # ()()()"La matriz 1 -1"N "pedida es 1 1" x y ." x y /"j N()()()"
Esto representa un factor de aumento 2 y una rotacion de 45 grados. " #v "y l
as de la forma a b"()()()"b -a""describen reflexiones." xn y. ."V x y. /"
xn y ." x y /" ##n " en y en "" 0 -1 1 0" x
y ." x0 yS /" x y ." x y /" x y ."P xP By /" x y ." x y /" nls % ("
", )Hq 24,5,.8,.9,.1,1.1,.2,.5,.5,.5,.1,.5,1.1,1.2,1.4,1.9,2.4,2.5,.9,.1
Cr 10,3,5,6,8,10,.2,.5,.5,.5,5,10,1.1,1.2,1.4,1.9,2.4,2.5,.9,.1Fs 12,7,.8,.9,.1,
1.1,.2,.5,.5,.5,.1,6,12,1.2,1.4,1.9,2.4,2.5,.9,.1y ()()()" DETERMINANTE E INV
ERSA DE "()()()"MATRICES DE 2 X 2" ,4, I! o S # ,4,d ()()()"2. xCalcu
la las inversas de lasmatrices siguientes" i ()()( )"2 3"()()( )"1 -3"()()()" "
()()()" "q ()()()"-2 1"()()()"2 -4" xn y x y. anglD % x y x y. anglD % xn y x y.
anglD % x y x y. anglD % ()()()"TRANSFORMACION DE MATRICES" ,4, ! ()()()"
Cual es 5" " la imagen bajo" ()()()"de 0"()()()"" x y x y. anglD % x y
x y. anglD % ,4mjjj,MODFpAjjjl , ()()()"5 4"()()()"0 3" xZ y x y. ang
lD % xt y x y. anglD % x y x y. anglD % x y x y. anglD % , , , , , ()()()"0
"()()()"5" ,4, ()()()"0 -3"()()()"5 4" x* y x y. anglD % xD y x y.
anglD % x y x y. anglD % S # ,4,d ()()()"2."()()()"Cual es 5 0.8 0.6"
()()()"la imagen baojo" ,4, ()()()"5 4"()()()"0 3" xZ y x y. anglD
% xt y ,4, ()()()"0 3"()()()"5 -4" x* yR x y. anglD % xD y x y. angl
D % x y x y. anglD % x y x y. anglD % X,( , , , E, y ()()()"HALLAR LA MATR
IZ"()()()"QUE DESCRIBE UNA TRANSFORMACION" ,4, q! S # ,4,d ()()()"2.""
Halla la matriz que convierte"" 1 0 0 -1"n " en y
en"" 0 1 1 0" x y ." x0 y /"M x y ." x y /" x y ."S xP y
/" x y ." x y /" o ,4, S # " ,4,( ()( )( )"X" t t ,4,( t t ()()
()"X" ,4,d t t ()()()"X" ,4, jjj,MODF pIBjjjl X, , xX y x& y anglD % xX
y x& y anglD % t t ()()()"La" "transfor-""macion es""una ROTACION ""alrre
dedor""del angulo""sealado." ()( )()"(-3,4)" # l ,4, S # " ,4,( ()( )(
)"X" t t ,4,(c ()()()"X" ,4, Z, ,6 D,l "()()()"(4,3)" t t ,4,( ()
()()"X" t t ,4,( ()()()"X" ,4, t t ()()()"La""transfor-""macion es"
"una REFLEXION""en la linea""sealada." ()()()"(3,-4)" # Z S # $" # ()()()
"X" ,4,d H,( ,p ()()()"X" ,4, ()()()"X" ,4,d ()(4)()"X" # S # $" #
()()()"X" ,4,d x y xN y' anglD % ()()()"X" ,4,d xN y( anglD % ()()()"X" #
4w 2,0,-2,,6,14,2,a.," ",1,2,3x6-4x5," -2"7x 2,0,38,,6,14,2,b.," B",1,2,3x6-(-
4)x5," 38"y 2,0,-2,,6,14,2,c.," C",1,2,3x6-(-4)x(-5)," -2"8z 2,0,2,,6,14,2,d.,"
D",1,2,3x(-6)-(-4)x5," 2"Y 2,0,2,,6,16,4,a.1," ( )"," ( )","
( )",1,2,1x8-2x3," 2"b 2,0,8,,8,14,4,a.," ( )"," ( )"," 2
( )",2,1,"cambia a y d.",1," 8"Q 2,0,1,,11,16,4,a.," (8 )"," ( )"
," 2( )",1,1," 1"f 2,0,-2,,10,14,4,a.," (8 )"," ( )","
2( 1)",2,1,"Cambia signos.",1," -2"R 2,0,-3,,8,16,4,a.," (8 -2)"," (
)"," 2( 1)",1,1," -3" 2,0,10,,5,16,4,b.," ( )"," ( )","
( )",1,2,1x4-(-Vjjj,MODFpQ%jjjm 2)x3," 10" 2,0,4,,8,14,4,b.," ( )
"," ( )"," 10( )",2,1,cambia a y d.,1," 4"Q 2,0,1,,11,16,4,b.,"
(4 )"," ( )"," 10( )",1,1," 1"e 2,0,2,,11,14,4,b.," (4 )",
" ( )"," 10( 1)",2,1," Cambia signos.",1," 2"R 2,0,-3,,8,16,4,b.,"
(4 2)"," ( )"," 10( 1)",1,1," -3" 2,0,8,,6,16,4,c.," ( )"
," ( )"," ( )",1,2,2x1-3x(-2)," 8"b 2,0,1,,8,14,4,c.," ( )
"," (V )"," 8( )",2,1,"cambia a y d.",1," 1"Q 2,0,2,,11,16,4,c.,"
(1 )"," ( )"," 8( )",1,1," 2"g 2,0,-3,,10,14,4,c.," (1
)"," ( )"," 8( 2)",2,1," Cambia signos.",1," -3"P 2,0,2,,8,16,4,c.,"
(1 -3)"," ( )"," 8( 2)",1,1," 2" 2,0,2,,6,16,4,d.," (
)"," ( )"," ( )",1,2,1x(-4)-(-3)x2," 2"e 2,0,-4,,8,14,4,d.,"
( )"," ( )"," 2( )",2,1," cambia a y d.",1," -4"Q 2,0,1,,11,16,4
,d.," (-4 )"," ( )"," 2( )",1,1," 1"b 2,0,3,,11,14,4,d.,"
(-4 )"," ( )"," 2( 1)",2,1,Cambia signos.,1," 3"R 2,0,-2,,8,16,4,
d.," (-4 3)"," ( )"," 2( 1)",1,1," -6.2"g 2,1,4,,9,14,4,a. La i
magen de," (5) ( )"," ( )( )"," (0) ( )",1,2,0.8x5+(-0.6)x0," 4"d 2,1,3
,,9,16,4,b. La imagen de," (5) ( 4)"," ( )( )"," (0) ( )",1,2,0.6x5+0.8x
0," 3"i 2,1,-3,,8,14,4,c. La imagen de," (0) ( )"," ( )( )"," (5) ( )",
1,2,0.8x0+(-0.6)x5," -3"d 2,1,4,,9,16,4,d. La imagen de," (0) (-3)"," ( )(
)"," (5) ( )",1,2,0.6x0+0.8x5," 4"m 1,0,"ROTACION",,0,18,6,e. Es la,transform
acion una,ROTACION o una," REFLXION","","",1,1," Rotacion."d 2,1,4,,8,14,4,a. L
a imagen de," (5) ( )"," ( )( )"," (0) ( )",1,2,0.8x5+0.6x0," 4"g 2,1,3
,,9,16,4,b. La imagen de," (5) ( 4)"," ( )( )"," (0) ( )",1,2,0.6x5+(-0.
8)x0," 3"d 2,1,3,,9,14,4,c. La imagen de," (0) (jjjj,MODFpYjjjn )"," ( )(
)"," (5) ( )",1,2,0.8x0+0.6x5," 3"i 2,1,-4,,8,16,4,d. La imagen de," (0) (
3)"," ( )( )"," (5) ( )",1,2,0.6x0+(-0.8)x5," -4"n 1,0,"REFLEXION",,0,18,
6,e. Es la,transformacion,una ROTACION o,"una REFLEXION","","",1,1," Reflexion."
H 2,1,0,,5,14,4,a.," ( )"," ( )"," ( )",1,1," 0"I 2,1,-1,,7,1
4,4,b.," ( 0 )"," ( )"," ( )",1,1," -1"I 2,1,-1,,4,16,4,c.," (
0 -1)"," ( )"," ( )",1,1," -1"G 2,1,0,,8,16,4,d.," ( 0 -1)"," (
)"," (-1 )",1,1," 0"o 1,0,"REFLEXION",,0,18,6,e. Es la,transformacion,u
na ROTACION o,"una REFLEXION","","",1,1," Reflexion." 2,0,4,,1,19,6,f. Se refle
ja,"en",eje X (pulsa 1),eje Y (pulsa 2),y-x0 (pulsa 3),y+x0 (pNulsa 4),1,3,Ref
lexion en,la linea," y+x0"H 2,1,0,,5,14,4,a.," ( )"," ( )"," (
)",1,1," 0"I 2,1,-1,,7,14,4,b.," ( 0 )"," ( )"," ( )",1,1," -1
"G 2,1,1,,5,16,4,c.," ( 0 -1)"," ( )"," ( )",1,1,"W 1"G 2,1,0,,8,1
6,4,d.," ( 0 -1)"," ( )"," ( 1 )",1,1," 0"l£ 1,0,"ROTACION",,0,18,6,
e. Es la,transformacion,una ROTACION o,"una REFLEXION","","",1,1," Rotacion."w 2
,1,90,,1,15,4,f. El giro es,"hasta"," grados","a la izquierda",1,3,rotacion,a
la izquierda,"de 90 grados." q !,",#1! ,,,,,,,,5" ,,,,,,,,,# ,,,,,,
,,,,,!$ %,&,d$',(,)&R q S,T,U,V,W,X5S y,z,,,,,,,,5T ,,£,,,,,,,U ,,
,,,,,,,,,& q ,,,,,H q r s t u v& q ,,,%,9,ML q M,f,qmM N,O,P,Q,R,S,T,
U,V,W,X,Y,Z,,,,,,,a,b,c,d,eN wx-jjj,MODF paTjjjm O xP yQ zR S T U V W X Y Z
a b c dF e 5f g,h,i,j,k,l,m,n,o,pg h i j k l m n o p q r,s,t,u,v,w,x,y,z
,,,r s t u v w x y z £ C"" , ()()()()"" C "" ! ( )R ( ) & () () !"
() , () u(,()) J6 7 vva () A - $J ()()()()" " T I! C"" I!J!C ""
J! "N" "n" ! K! "S" "s" J!L! ,4, S #M! ()()()" dada la matriz de 2x2,,
"()()3()"a b"()()()"c d"()()()" " N! ()()( )"2 3"()()()"4 5"()()()"Si " x y
x y anglD % x2 y x y angglD % lO! S # ()()( )"2 -3"()()()"4 5"()()()"Si " m
P! S # ()()( )"2 3"()()()"4 6"()()()"Si " cQ! S #) ()()()" Para hallar
la inversa, , deuna matriz de 2 x 2, ,"R! ()()()"a b"()()()"c d"()()()" " x
y x y anglD % x2 y x yjjj,MODFpijjjl anglD % S! ()()( )"Finalmente dividimos po
r ."()()()""()()()"d-b"()()()"-c a"()()()"" #JT! S # ()()()" Para hallar la i
nversa, de "U! ()()()"2 3"()()()"-4-5"()()()" " x y x y anglD % x2 y x y anglD %
£V! ()()( )"Finalmente dividimos poor ."()()()""()()()"-5-3"()()()" 4 2"()()()"
2" W! S # ()()()" Comprueba que"()()()"1 0"()()()"0 1"()()()". " +X! C""
X!Y!C "" Y! "S" "s" L! Z! "N" "n" Y!o! ,4,d S # ()()()"1.Calcula el d
eterminante de lassiguientes matrices" 0! ()()( )"3-4"w()()( )"3 -4"()()()" "()(
)()" "()()()"-5 6"()()()"5 -6" &! C"" !!C "" ! "N" "n" p! ! "S" "s" !! ,
4, S #Va! " " ,4, ()()()"Multiplicando por 2 0" Dvb! ()()()"(factor
de aumento2)" ,4, ()()()"(6,8) P" z, Z, Ic! # S # " "G ,4, ()()()"
Multiplicando por -1 0"()()()" 0 1" Nd! ,4, ()()()"P"()()()"(-3,4)" x,
., v, ., , , , #e! S # " " ,4, ()()()"Multiplicando por 0 -1"()
()()"1 0" Xf! ,4, ()()()"P"()()()"(-4,3)" x, ,0 v, ,0 , , , #g! jjj,
MODFpqdjjjm S # " ,4, ()()() ()()"X" , ()()()()()"La suma de la matriz
2"()()()"-1" b h! ()()()"P"()()()"(3,4)" # , ()() ,y, , , , t X t li! S #
" ,4, ()()()" Podemos combinar muchas trans-formaciones de este tipo. Por
ejemplo" vtj! # S # ()()()"La""imagen""de,"()()()" 2 0 1 2 3 4" zk! S
# " " ()()()"La""imagen""de,"()()()" 3 0 1 3 3 3" zl! S # " " ()(
)()"La""imagen""de,"()()()" 0 0 1 0 3 5" m! ##n!C "" n! "S" "s" ! o
! "N" "n" n!p! S # ,4,d ()()()" Dibuja cuidadosamente diagramaspara contes
tar a las pKreguntassiguientes preguntas" q! C"" q!r!C "" r! "N" "n" ! s!
"S" "s" r!t! ,4, S #iu! ()()()" La matriz troca en"()( )()"a b"()(
)()"1" £v! ()()()"luego,"()()()"a b 1 a"()()()""()()( )"c d 0 c" xn y ." x
y w! ()()( )"y cambia en "()()()"0 b"()()()"1 d" x y ." x y vx!
()()()" Si conocemos las imagenes de"()()()"1 0"()()()"0 1" y! # S #
$" ()()()"X"()()()"X"()()()"ej. Halla la matriz" z! x y x y8 anglD % x, y ,4,
, ()()()"X" #u! x y( x8 y anglDWjjj,MODFpy8Ejjjm % ,4, , ()()()"X" #t! #
()()()" Matrices de la forma a b"()()()"-b a""describen rotaciones." ! C"" !!
C "" ! "S" "s" t! !m "N" "n" !! ,4, S # ()()()"Dibuja con cuidado dia
gramas pararesponder a las siguientes pre-guntas." #! S # ,4,d ()()()"1.
"" Halla la matriz que transforma"" 1 0 0 -1" N! , , , p
, , , , ,! , ,,D ()()()()()"B"()( )()"A"()( )()"C"()()()"X" " , ()()
,, , , , , ," v, , ()( )()(0 ) (I)( )()
z" ()()( )(0 ) ()()()"x"()()()"y" p" ()()()"P(3,4)" z, ,, ,
,, , , , F# ," ()()()" "()()()"3"()()()"4""indica la""posicion vector""de
l punto P""respecto del" " "origen." xn y x y. anglD % x y x y. anglD % " ()()()
"x 0 1 x 3"()()()"y 1 0 y 1"()( )()"+"()()()"" x y x y. anglD % '" x y x
y. anglsVD % x y x y. anglD % x y x y. anglD % x y x y. anglD % x y x y. anglD
% " xnjjj,MODFpjjjn y x y. anglD % x y x y. anglD % x y x y. anglD % x y x y. a
nglD % x y x y. DanglD %'" x y x y. anglD % x y x y. anglD % xP y x y. anglD % x
y x y. anglD % xrW y x y. anglD % " ()()()" La transformacion es una refl
exion en la linea x-y0, seguida por una traslacion." x, , y" , ,
, , , ,z" Z, , ()()( )(0 )()( )()(0 ) " ()(
)()u(( ),) h ()()( )u(( ),) 7" ()()()"x"()()()"y" x$" , ,
, , D H, , u%" CH, , ()( )( )"x"()()()"y" ()()( )"-1"()()( )"0"&
" ()()( )"1"()()()"-1"()()()"1"()()()"X"()()()"X" -." x y. anglD % ./" x y. ang
lD % # C"" ## #,,$,, "Pulsa la barra para seguir"w #inC IN"" # in"" !# i
n" " # ,4, #,,$,, '!# #,,$,, ## ()()()" Quieres volver a trabajar con
las ayudas antes de intentar laspreguntas Pulsa
(S/N) " p'# ()()()" Para usar el modQjjj,MODFpjjjulo de nuevo Pul
sa R Pulsa S para parar."# C"" ##C "" ## "R" "r" )#
"S" "s" ,k,2 # #2# #,,$, s, #,,$,, ,$ #,,,, #,,$,, #,,$,, ()()( )"HINTS"
()()( )"ANSWERS"% x x x y y y x z y w% angl angl % fg&% y y y %H0% gy y y x
x x y y x x %s% chor( x y) radiu chor((( angl))) m x x m y y0X% lencentm( radiu(
chor))6% y gradcentm( x) l%b% gradcentm x yl% thet( gradcentm) distu lencent
m( thet) distalon lencentm( thet) c m( angl) distu c m( angl) distalon&v% x c
thetD %7% thetD((( C y)( c x))) z% fg x y angl x c y c thet thetD an
gl angl &% x fg &% x y angl c x c y thetD thet angl angl q% &%
x y angl c x c y thetD thet angl angl q% &% x y angl d x c c
y thetD thet angl angl fg q% &f& x y angl x c c y angl angl q& &
& thet thet angl ( angl)D+ x( ) radiu c y( ) radiu cC& thet x, y, co
x, y, coH& +R& fg x x, y yS& fg x, y&p