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|00002840| 2e 20 69 20 3d 20 22 85 | 28 0f c3 29 22 2d 31 22 |. i = ".|(..)"-1"|
|00002850| 00 80 0c 00 05 e6 96 20 | 0e 00 18 1a 00 80 17 00 |....... |........|
|00002860| 05 eb f8 c5 20 16 2c 13 | 3a ac 22 45 58 41 4d 50 |.... .,.|:."EXAMP|
|00002870| 4c 45 3a 00 80 3f 00 05 | f0 f8 c5 20 17 2c 0f 14 |LE:..?..|... .,..|
|00002880| 3a ac 22 28 32 2b 33 69 | 29 28 58 28 31 29 2b 69 |:."(2+3i|)(X(1)+i|
|00002890| 58 28 32 29 29 2b 28 34 | 2b 31 69 29 28 58 28 33 |X(2))+(4|+1i)(X(3|
|000028a0| 29 2b 69 58 28 34 29 20 | 3d 20 28 31 32 2b 31 35 |)+iX(4) |= (12+15|
|000028b0| 69 29 00 80 3f 00 05 f5 | f8 c5 20 18 2c 0f 14 3a |i)..?...|.. .,..:|
|000028c0| ac 22 28 36 2b 32 31 29 | 28 58 28 31 29 2b 69 58 |."(6+21)|(X(1)+iX|
|000028d0| 28 32 29 29 2b 28 33 2b | 33 69 29 28 58 28 33 29 |(2))+(3+|3i)(X(3)|
|000028e0| 2b 69 58 28 34 29 20 3d | 20 28 31 36 2b 32 32 69 |+iX(4) =| (16+22i|
|000028f0| 29 00 80 0c 00 05 fa 96 | 20 0e 00 17 de 00 80 5c |).......| ......\|
|00002900| 00 05 ff f8 c5 20 1a 2c | 12 3a ac 22 45 78 70 61 |..... .,|.:."Expa|
|00002910| 6e 64 69 6e 67 20 61 6e | 64 20 73 65 70 61 72 61 |nding an|d separa|
|00002920| 74 69 6e 67 20 69 6e 74 | 6f 20 72 65 61 6c 20 26 |ting int|o real &|
|00002930| 20 69 6d 61 67 69 6e 61 | 72 79 20 70 61 72 74 73 | imagina|ry parts|
|00002940| 2c 20 72 65 73 75 6c 74 | 73 20 69 6e 20 34 20 65 |, result|s in 4 e|
|00002950| 71 75 61 74 69 6f 6e 73 | 3a 00 80 0c 00 06 04 96 |quations|:.......|
|00002960| 20 0e 00 17 de 00 80 33 | 00 06 09 f8 c5 20 0f 0a | ......3|..... ..|
|00002970| 2c 0f 14 3a ac 22 32 58 | 28 31 29 20 2d 20 33 58 |,..:."2X|(1) - 3X|
|00002980| 28 32 29 20 2b 20 34 58 | 28 33 29 20 2d 20 20 58 |(2) + 4X|(3) -  X|
|00002990| 28 34 29 20 3d 20 31 32 | 00 80 33 00 06 0e f8 c5 |(4) = 12|..3.....|
|000029a0| 20 0f 0b 2c 0f 14 3a ac | 22 33 58 28 31 29 20 2b | ..,..:.|"3X(1) +|
|000029b0| 20 32 58 28 32 29 20 2b | 20 20 58 28 33 29 20 2b | 2X(2) +|  X(3) +|
|000029c0| 20 34 58 28 34 29 20 3d | 20 31 35 00 80 32 00 06 | 4X(4) =| 15..2..|
|000029d0| 13 f8 c5 20 0f 0c 2c 0f | 14 3a ac 22 36 58 28 31 |... ..,.|.:."6X(1|
|000029e0| 29 20 2d 20 32 58 28 32 | 29 20 2b 20 33 58 28 33 |) - 2X(2|) + 3X(3|
|000029f0| 29 20 2d 33 58 28 34 29 | 20 3d 20 31 36 00 80 32 |) -3X(4)| = 16..2|
|00002a00| 00 06 18 f8 c5 20 0f 0d | 2c 0f 14 3a ac 22 32 58 |..... ..|,..:."2X|
|00002a10| 28 31 29 20 2b 20 36 58 | 28 32 29 20 2b 20 33 58 |(1) + 6X|(2) + 3X|
|00002a20| 28 33 29 20 2b 33 58 28 | 34 29 20 3d 20 32 32 00 |(3) +3X(|4) = 22.|
|00002a30| 80 0c 00 06 1d 96 20 0e | 00 17 f2 00 80 3c 00 06 |...... .|.....<..|
|00002a40| 22 f8 c5 20 0f 0e 2c 13 | 3a ac 22 45 6e 74 65 72 |".. ..,.|:."Enter|
|00002a50| 69 6e 67 20 74 68 65 73 | 65 20 63 6f 65 66 66 69 |ing thes|e coeffi|
|00002a60| 63 69 65 6e 74 73 20 69 | 6e 74 6f 20 4d 41 4c 20 |cients i|nto MAL |
|00002a70| 79 69 65 6c 64 73 3a 00 | 80 0c 00 06 27 96 20 0e |yields:.|....'. .|
|00002a80| 00 17 de 00 80 2d 00 06 | 2c f8 c5 20 0f 0f 2c 0f |.....-..|,.. ..,.|
|00002a90| 14 3a ac 22 5a 28 31 29 | 20 3d 20 58 28 31 29 20 |.:."Z(1)| = X(1) |
|00002aa0| 2b 20 69 58 28 32 29 20 | 3d 20 32 20 2b 20 31 69 |+ iX(2) |= 2 + 1i|
|00002ab0| 00 80 2d 00 06 31 f8 c5 | 20 0f 10 2c 0f 14 3a ac |..-..1..| ..,..:.|
|00002ac0| 22 5a 28 32 29 20 3d 20 | 58 28 33 29 20 2b 20 69 |"Z(2) = |X(3) + i|
|00002ad0| 58 28 34 29 20 3d 20 33 | 20 2b 20 31 69 00 80 0c |X(4) = 3| + 1i...|
|00002ae0| 00 06 36 96 20 0e 00 17 | ca 00 80 29 00 06 3b f8 |..6. ...|...)..;.|
|00002af0| c5 20 0f 11 2c 0f 20 3a | ac 22 50 52 45 53 53 3a |. ..,. :|."PRESS:|
|00002b00| 20 45 6e 74 65 72 20 74 | 6f 20 43 4f 4e 54 49 4e | Enter t|o CONTIN|
|00002b10| 55 45 00 80 10 00 06 40 | 01 00 1f 24 ea 9a 24 28 |UE.....@|...$..$(|
|00002b20| 12 29 00 80 22 00 06 45 | 98 20 01 00 1f 24 eb e9 |.).."..E|. ...$..|
|00002b30| 22 20 22 20 97 20 0e 00 | 06 4a 20 3a 8e 20 97 20 |" " . ..|.J :. . |
|00002b40| 0e 00 06 40 00 80 42 00 | 06 4a f8 83 3a f8 c5 20 |...@..B.|.J..:.. |
|00002b50| 12 2c 19 3a ac 22 46 49 | 4e 44 49 4e 47 20 50 4f |.,.:."FI|NDING PO|
|00002b60| 4c 59 4e 4f 4d 49 41 4c | 20 43 4f 45 46 46 49 43 |LYNOMIAL| COEFFIC|
|00002b70| 49 45 4e 54 53 20 42 59 | 20 49 4e 54 45 52 50 4f |IENTS BY| INTERPO|
|00002b80| 4c 41 54 49 4f 4e 00 80 | 0c 00 06 4f 96 20 0e 00 |LATION..|...O. ..|
|00002b90| 17 de 00 80 36 00 06 54 | f8 c5 20 14 2c 13 3a ac |....6..T|.. .,.:.|
|00002ba0| 22 54 68 69 73 20 70 72 | 6f 67 72 61 6d 20 66 69 |"This pr|ogram fi|
|00002bb0| 74 73 20 61 20 70 6f 6c | 79 6e 6f 6d 69 61 6c 20 |ts a pol|ynomial |
|00002bc0| 73 75 63 68 20 61 73 3a | 00 80 3d 00 06 59 f8 c5 |such as:|..=..Y..|
|00002bd0| 20 15 2c 0f 0f 3a ac 22 | 59 20 3d 20 43 28 30 29 | .,..:."|Y = C(0)|
|00002be0| 20 58 5e 30 20 2b 20 43 | 28 31 29 20 58 5e 31 20 | X^0 + C|(1) X^1 |
|00002bf0| 2b 20 43 28 32 29 20 58 | 5e 32 20 2b 20 43 28 33 |+ C(2) X|^2 + C(3|
|00002c00| 29 20 58 5e 33 00 80 0c | 00 06 5e 96 20 0e 00 17 |) X^3...|..^. ...|
|00002c10| de 00 80 4a 00 06 63 f8 | c5 20 17 2c 13 3a ac 22 |...J..c.|. .,.:."|
|00002c20| 45 58 41 4d 50 4c 45 3a | 20 20 20 46 69 74 20 61 |EXAMPLE:|   Fit a|
|00002c30| 20 70 6f 6c 79 6e 6f 6d | 69 61 6c 20 74 6f 20 74 | polynom|ial to t|
|00002c40| 68 65 20 66 6f 6c 6c 6f | 77 69 6e 67 20 34 20 64 |he follo|wing 4 d|
|00002c50| 61 74 61 20 70 6f 69 6e | 74 73 3a 00 80 0c 00 06 |ata poin|ts:.....|
|00002c60| 68 96 20 0e 00 17 de 00 | 80 39 00 06 6d f8 c5 20 |h. .....|.9..m.. |
|00002c70| 18 2c 0f 0f 3a ac 22 58 | 20 3d 20 30 20 20 20 20 |.,..:."X| = 0    |
|00002c80| 20 20 20 20 20 20 2e 37 | 20 20 20 20 20 20 20 20 |      .7|        |
|00002c90| 20 31 2e 36 20 20 20 20 | 20 20 20 20 20 32 2e 32 | 1.6    |     2.2|
|00002ca0| 00 80 31 00 06 72 f8 c5 | 20 19 2c 0f 0f 3a ac 22 |..1..r..| .,..:."|
|00002cb0| 59 20 3d 20 33 2e 33 36 | 36 20 20 20 33 2e 39 36 |Y = 3.36|6   3.96|
|00002cc0| 37 20 20 20 32 2e 30 36 | 32 20 20 20 2d 2e 32 33 |7   2.06|2   -.23|
|00002cd0| 33 00 80 0c 00 06 77 96 | 20 0e 00 17 de 00 80 2c |3.....w.| ......,|
|00002ce0| 00 06 7c f8 c5 20 0f 0a | 2c 13 3a ac 22 54 68 65 |..|.. ..|,.:."The|
|00002cf0| 20 72 65 73 75 6c 74 61 | 6e 74 20 70 6f 6c 79 6e | resulta|nt polyn|
|00002d00| 6f 6d 69 61 6c 20 69 73 | 3a 00 80 0c 00 06 81 96 |omial is|:.......|
|00002d10| 20 0e 00 17 de 00 80 53 | 00 06 86 f8 c5 20 0f 0b | ......S|..... ..|
|00002d20| 2c 13 3a ac 22 59 20 3d | 20 33 2e 33 36 36 20 58 |,.:."Y =| 3.366 X|
|00002d30| 5e 30 20 2b 20 32 2e 35 | 32 37 31 30 36 37 39 32 |^0 + 2.5|27106792|
|00002d40| 20 58 5e 31 20 2d 20 32 | 2e 36 31 32 39 31 34 38 | X^1 - 2|.6129148|
|00002d50| 37 37 20 58 5e 32 20 2b | 20 2e 33 32 37 35 36 31 |77 X^2 +| .327561|
|00002d60| 33 33 32 31 20 58 5e 33 | 00 80 0c 00 06 8b 96 20 |3321 X^3|....... |
|00002d70| 0e 00 17 de 00 80 28 00 | 06 90 f8 c5 20 0f 11 2c |......(.|.... ..,|
|00002d80| 13 3a ac 22 50 52 45 53 | 53 3a 20 53 50 41 43 45 |.:."PRES|S: SPACE|
|00002d90| 42 41 52 20 66 6f 72 20 | 4d 45 4e 55 00 80 10 00 |BAR for |MENU....|
|00002da0| 06 95 01 00 1f 24 ea 9a | 24 28 12 29 00 80 23 00 |.....$..|$(.)..#.|
|00002db0| 06 9a 98 20 01 00 1f 24 | ea 85 28 0f 20 29 20 97 |... ...$|..(. ) .|
|00002dc0| 20 0e 00 06 9f 20 3a 8e | 20 97 20 0e 00 06 95 00 | .... :.| . .....|
|00002dd0| 80 18 00 06 9f f8 83 3a | 20 f8 81 20 22 44 45 4d |.......:| .. "DEM|
|00002de0| 4f 31 22 2c 1c 05 5a 00 | 80 1a 00 06 a4 3a af e8 |O1",..Z.|.....:..|
|00002df0| 5f 5f 5f 5f 5f 5f 5f 5f | 5f 43 4f 4d 41 54 52 49 |________|_COMATRI|
|00002e00| 58 00 80 34 00 06 a9 f8 | 83 3a f8 c5 20 12 2c 0f |X..4....|.:.. .,.|
|00002e10| 1b 3a ac 22 2a 20 4d 55 | 4c 54 49 50 4c 59 20 43 |.:."* MU|LTIPLY C|
|00002e20| 4f 4d 50 4c 45 58 20 32 | 2a 32 20 4d 41 54 52 49 |OMPLEX 2|*2 MATRI|
|00002e30| 43 45 53 20 2a 00 80 0c | 00 06 ae 96 20 0e 00 17 |CES *...|.... ...|
|00002e40| ca 00 80 56 00 06 b3 f8 | c5 20 13 2c 13 3a ac 22 |...V....|. .,.:."|
|00002e50| 4d 61 6e 79 20 6c 69 6e | 65 61 72 20 32 2d 70 6f |Many lin|ear 2-po|
|00002e60| 72 74 20 6e 65 74 77 6f | 72 6b 20 70 72 6f 62 6c |rt netwo|rk probl|
|00002e70| 65 6d 73 20 69 6e 20 45 | 6c 65 63 74 72 6f 6e 69 |ems in E|lectroni|
|00002e80| 63 73 20 61 6e 64 20 4d | 65 63 68 61 6e 69 63 73 |cs and M|echanics|
|00002e90| 20 64 65 6d 61 6e 64 00 | 80 5a 00 06 b8 f8 c5 20 | demand.|.Z..... |
|00002ea0| 14 2c 13 3a ac 22 74 68 | 65 20 6d 75 6c 74 69 70 |.,.:."th|e multip|
|00002eb0| 6c 69 63 61 74 69 6f 6e | 20 6f 66 20 32 20 63 6f |lication| of 2 co|
|00002ec0| 6d 70 6c 65 78 20 32 2a | 32 20 6d 61 74 72 69 63 |mplex 2*|2 matric|
|00002ed0| 65 73 20 7c 41 7c 2a 7c | 42 7c 3d 7c 52 7c 2c 20 |es |A|*||B|=|R|, |
|00002ee0| 77 68 65 72 65 20 69 3d | 22 85 28 0f c3 29 22 2d |where i=|".(..)"-|
|00002ef0| 31 00 80 0c 00 06 bd 96 | 20 0e 00 18 06 00 80 17 |1.......| .......|
|00002f00| 00 06 c2 f8 c5 20 15 2c | 12 3a ac 22 45 58 41 4d |..... .,|.:."EXAM|
|00002f10| 50 4c 45 3a 00 80 0c 00 | 06 c7 96 20 0e 00 17 de |PLE:....|... ....|
|00002f20| 00 80 1d 00 06 cc f8 c5 | 20 15 2c 0f 0b 3a ac 22 |........| .,..:."|
|00002f30| 7c 20 31 2b 32 69 20 20 | 33 2b 34 69 7c 00 80 25 || 1+2i  |3+4i|..%|
|00002f40| 00 06 d1 f8 c5 20 16 2c | 0f 0b 3a ac 22 7c 20 35 |..... .,|..:."| 5|
|00002f50| 2b 36 69 20 20 37 2b 38 | 69 7c 20 20 20 20 20 20 |+6i  7+8|i|      |
|00002f60| 20 78 00 80 13 00 06 d6 | f8 c5 20 17 2c 0f 0f 3a | x......|.. .,..:|
|00002f70| ac 22 7c 41 7c 00 80 1d | 00 06 db f8 c5 20 15 2c |."|A|...|..... .,|
|00002f80| 0f 1d 3a ac 22 7c 20 38 | 2b 37 69 20 20 36 2b 35 |..:."| 8|+7i  6+5|
|00002f90| 69 7c 00 80 24 00 06 e0 | f8 c5 20 16 2c 0f 1d 3a |i|..$...|.. .,..:|
|00002fa0| ac 22 7c 20 34 2b 33 69 | 20 20 32 2b 31 69 7c 20 |."| 4+3i|  2+1i| |
|00002fb0| 20 20 20 20 20 3d 00 80 | 13 00 06 e5 f8 c5 20 17 |     =..|...... .|
|00002fc0| 2c 0f 21 3a ac 22 7c 42 | 7c 00 80 0c 00 06 ea 96 |,.!:."|B||.......|
|00002fd0| 20 0e 00 17 f2 00 80 21 | 00 06 ef f8 c5 20 15 2c | ......!|..... .,|
|00002fe0| 0f 2e 3a ac 22 7c 2d 36 | 2b 20 34 38 69 20 20 2d |..:."|-6|+ 48i  -|
|00002ff0| 32 2b 32 38 69 7c 00 80 | 21 00 06 f4 f8 c5 20 16 |2+28i|..|!..... .|
|00003000| 2c 0f 2e 3a ac 22 7c 20 | 32 2b 31 33 36 69 20 20 |,..:."| |2+136i  |
|00003010| 20 36 2b 38 34 69 7c 00 | 80 13 00 06 f9 f8 c5 20 | 6+84i|.|....... |
|00003020| 17 2c 0f 34 3a ac 22 7c | 52 7c 00 80 0c 00 06 fe |.,.4:."||R|......|
|00003030| 96 20 0e 00 17 f2 00 80 | 5d 00 07 03 f8 c5 20 1a |. ......|]..... .|
|00003040| 2c 13 3a ac 22 4d 41 4c | 20 61 6c 6c 6f 77 73 20 |,.:."MAL| allows |
|00003050| 79 6f 75 20 74 6f 20 73 | 77 61 70 20 72 65 73 75 |you to s|wap resu|
|00003060| 6c 74 73 20 6d 61 74 72 | 69 78 20 7c 52 7c 20 77 |lts matr|ix |R| w|
|00003070| 69 74 68 20 7c 41 7c 20 | 6f 72 20 7c 42 7c 20 69 |ith |A| |or |B| i|
|00003080| 6e 20 6f 72 64 65 72 20 | 74 6f 20 6d 75 6c 74 69 |n order |to multi|
|00003090| 70 6c 79 00 80 33 00 07 | 08 f8 c5 20 0f 0a 2c 13 |ply..3..|... ..,.|
|000030a0| 3a ac 22 7c 52 7c 20 62 | 79 20 61 20 6e 65 77 6c |:."|R| b|y a newl|
|000030b0| 79 20 69 6e 70 75 74 74 | 65 64 20 7c 42 7c 20 6f |y inputt|ed |B| o|
|000030c0| 72 20 7c 41 7c 2e 00 80 | 0c 00 07 0d 96 20 0e 00 |r |A|...|..... ..|
|000030d0| 18 06 00 80 22 00 07 12 | f8 c5 20 0f 0b 2c 0f 0b |...."...|.. ..,..|
|000030e0| 3a ac 22 7c 2d 36 2b 20 | 34 38 69 20 20 2d 32 2b |:."|-6+ |48i  -2+|
|000030f0| 32 38 69 7c 00 80 27 00 | 07 17 f8 c5 20 0f 0c 2c |28i|..'.|.... ..,|
|00003100| 0f 0b 3a ac 22 7c 20 32 | 2b 31 33 36 69 20 20 20 |..:."| 2|+136i   |
|00003110| 36 2b 38 34 69 7c 20 20 | 20 20 78 00 80 14 00 07 |6+84i|  |  x.....|
|00003120| 1c f8 c5 20 0f 0d 2c 0f | 11 3a ac 22 7c 52 7c 00 |... ..,.|.:."|R|.|
|00003130| 80 1e 00 07 21 f8 c5 20 | 0f 0b 2c 0f 1d 3a ac 22 |....!.. |..,..:."|
|00003140| 7c 2d 31 2b 30 69 20 20 | 31 2b 32 69 7c 00 80 24 ||-1+0i  |1+2i|..$|
|00003150| 00 07 26 f8 c5 20 0f 0c | 2c 0f 1d 3a ac 22 7c 20 |..&.. ..|,..:."| |
|00003160| 20 30 2b 31 69 20 20 31 | 2d 31 69 7c 20 20 20 20 | 0+1i  1|-1i|    |
|00003170| 3d 00 80 19 00 07 2b f8 | c5 20 0f 0d 2c 0f 1f 3a |=.....+.|. ..,..:|
|00003180| ac 22 4e 65 77 20 20 7c | 42 7c 00 80 0c 00 07 30 |."New  ||B|.....0|
|00003190| 96 20 0e 00 17 f2 00 80 | 2a 00 07 35 f8 c5 20 0f |. ......|*..5.. .|
|000031a0| 0b 2c 0f 2b 3a ac 22 7c | 2d 32 32 2d 20 20 35 30 |.,.+:."||-22-  50|
|000031b0| 69 20 20 20 2d 37 36 20 | 20 2b 20 20 36 36 69 7c |i   -76 | +  66i||
|000031c0| 00 80 27 00 07 3a f8 c5 | 20 0f 0c 2c 0f 2b 3a ac |..'..:..| ..,.+:.|
|000031d0| 22 7c 2d 38 36 2d 31 33 | 30 69 20 20 2d 31 38 30 |"|-86-13|0i  -180|
|000031e0| 20 2b 32 31 38 69 7c 00 | 80 19 00 07 3f f8 c5 20 | +218i|.|....?.. |
|000031f0| 0f 0d 2c 0f 30 3a ac 22 | 4e 65 77 20 20 7c 52 7c |..,.0:."|New  |R||
|00003200| 00 80 0c 00 07 44 96 20 | 0e 00 17 de 00 80 27 00 |.....D. |......'.|
|00003210| 07 49 f8 c5 20 0f 11 2c | 13 3a ac 22 50 52 45 53 |.I.. ..,|.:."PRES|
|00003220| 53 20 53 50 41 43 45 42 | 41 52 20 66 6f 72 20 4d |S SPACEB|AR for M|
|00003230| 45 4e 55 00 80 10 00 07 | 4e 01 00 00 24 ea 9a 24 |ENU.....|N...$..$|
|00003240| 28 12 29 00 80 23 00 07 | 53 98 20 01 00 00 24 ea |(.)..#..|S. ...$.|
|00003250| 85 28 0f 20 29 20 97 20 | 0e 00 07 58 20 3a 8e 20 |.(. ) . |...X :. |
|00003260| 97 20 0e 00 07 4e 00 80 | 18 00 07 58 f8 83 3a 20 |. ...N..|...X..: |
|00003270| f8 81 20 22 44 45 4d 4f | 31 22 2c 1c 05 5a 00 80 |.. "DEMO|1",..Z..|
|00003280| 18 00 07 5d 3a af e8 5f | 5f 5f 5f 5f 5f 5f 5f 50 |...]:.._|_______P|
|00003290| 4f 4c 59 46 49 54 00 80 | 4a 00 07 62 f8 83 3a f8 |OLYFIT..|J..b..:.|
|000032a0| 82 3a f8 c5 20 12 2c 16 | 3a ac 22 2a 20 46 49 54 |.:.. .,.|:."* FIT|
|000032b0| 54 49 4e 47 20 41 20 4c | 45 41 53 54 20 53 51 55 |TING A L|EAST SQU|
|000032c0| 41 52 45 53 20 50 4f 4c | 59 4e 4f 4d 49 41 4c 20 |ARES POL|YNOMIAL |
|000032d0| 54 4f 20 44 41 54 41 20 | 50 4f 49 4e 54 53 20 2a |TO DATA |POINTS *|
|000032e0| 00 80 0c 00 07 67 96 20 | 0e 00 17 ca 00 80 55 00 |.....g. |......U.|
|000032f0| 07 6c f8 c5 20 13 2c 13 | 3a ac 22 45 73 70 65 63 |.l.. .,.|:."Espec|
|00003300| 69 61 6c 6c 79 20 75 73 | 65 66 75 6c 20 77 68 65 |ially us|eful whe|
|00003310| 6e 20 74 68 65 20 65 78 | 70 65 72 69 6d 65 6e 74 |n the ex|periment|
|00003320| 61 6c 20 64 61 74 61 20 | 6d 61 79 20 62 65 20 73 |al data |may be s|
|00003330| 75 62 6a 65 63 74 20 74 | 6f 20 65 72 72 6f 72 73 |ubject t|o errors|
|00003340| 2e 00 80 18 00 07 76 f8 | c5 20 14 2c 13 3a ac 22 |......v.|. .,.:."|
|00003350| 45 58 41 4d 50 4c 45 3a | 22 00 80 0c 00 07 7b 96 |EXAMPLE:|".....{.|
|00003360| 20 0e 00 17 ca 00 80 4d | 00 07 80 f8 c5 20 15 2c | ......M|..... .,|
|00003370| 0f 0a 3a ac 22 49 6e 70 | 75 74 20 74 68 65 20 6c |..:."Inp|ut the l|
|00003380| 6f 77 65 73 74 20 64 65 | 67 72 65 65 20 70 6f 6c |owest de|gree pol|
|00003390| 79 6e 6f 6d 69 61 6c 20 | 79 6f 75 20 77 69 73 68 |ynomial |you wish|
|000033a0| 20 74 6f 20 62 65 20 63 | 6f 6e 73 69 64 65 72 65 | to be c|onsidere|
|000033b0| 64 2e 00 80 0c 00 07 85 | 96 20 0e 00 17 de 00 80 |d.......|. ......|
|000033c0| 48 00 07 8a f8 c5 20 16 | 2c 0f 0f 3a ac 22 49 6e |H..... .|,..:."In|
|000033d0| 20 74 68 69 73 20 63 61 | 73 65 20 69 74 20 69 73 | this ca|se it is|
|000033e0| 20 34 2e 20 28 43 75 62 | 69 63 73 20 26 20 71 75 | 4. (Cub|ics & qu|
|000033f0| 61 64 72 61 74 69 63 73 | 20 61 72 65 20 69 67 6e |adratics| are ign|
|00003400| 6f 72 65 64 2e 29 00 80 | 0c 00 07 8f 96 20 0e 00 |ored.)..|..... ..|
|00003410| 17 de 00 80 4e 00 07 94 | f8 c5 20 17 2c 0f 0a 3a |....N...|.. .,..:|
|00003420| ac 22 49 6e 70 75 74 20 | 64 61 74 61 20 69 6e 20 |."Input |data in |
|00003430| 74 68 65 20 66 6f 72 6d | 3a 20 44 41 54 41 3a 20 |the form|: DATA: |
|00003440| 58 28 31 29 2c 59 28 31 | 29 2c 58 28 32 29 2c 59 |X(1),Y(1|),X(2),Y|
|00003450| 28 32 29 2e 2e 2e 20 58 | 28 4d 29 2c 59 28 4d 29 |(2)... X|(M),Y(M)|
|00003460| 00 80 0c 00 07 99 96 20 | 0e 00 17 de 00 80 3c 00 |....... |......<.|
|00003470| 07 9e f8 c5 20 18 2c 0f | 0f 3a ac 22 44 41 54 41 |.... .,.|.:."DATA|
|00003480| 20 34 30 2c 32 2c 33 39 | 2c 33 2c 33 32 2c 34 2c | 40,2,39|,3,32,4,|
|00003490| 33 30 2c 35 2c 32 39 2c | 36 2c 32 38 2c 37 2c 32 |30,5,29,|6,28,7,2|
|000034a0| 37 2c 38 2c 32 36 2c 39 | 00 80 38 00 07 a3 f8 c5 |7,8,26,9|..8.....|
|000034b0| 20 19 2c 0f 0f 3a ac 22 | 44 41 54 41 20 32 34 2c | .,..:."|DATA 24,|
|000034c0| 31 30 2c 32 33 2c 31 31 | 2c 32 31 2c 31 32 2c 31 |10,23,11|,21,12,1|
|000034d0| 39 2c 31 33 2c 31 37 2c | 31 34 2c 31 35 2c 31 35 |9,13,17,|14,15,15|
|000034e0| 00 80 0c 00 07 a8 96 20 | 0e 00 17 de 00 80 21 00 |....... |......!.|
|000034f0| 07 ad f8 c5 20 1a 2c 0f | 0a 3a ac 22 4d 41 4c 20 |.... .,.|.:."MAL |
|00003500| 74 68 65 6e 20 6f 75 74 | 70 75 74 73 3a 00 80 0c |then out|puts:...|
|00003510| 00 07 b2 96 20 0e 00 17 | ca 00 80 3a 00 07 b7 f8 |.... ...|...:....|
|00003520| c5 20 0f 0b 2c 13 3a ac | 22 4e 55 4d 42 45 52 20 |. ..,.:.|"NUMBER |
|00003530| 4f 46 20 50 4f 49 4e 54 | 53 20 3d 20 31 34 3a 20 |OF POINT|S = 14: |
|00003540| 20 20 20 4d 45 41 4e 20 | 58 20 3d 20 32 36 2e 34 |   MEAN |X = 26.4|
|00003550| 32 38 36 00 80 42 00 07 | bc f8 c5 20 0f 0c 2c 13 |286..B..|... ..,.|
|00003560| 3a ac 22 4d 45 41 4e 20 | 59 20 3d 20 38 2e 35 3a |:."MEAN |Y = 8.5:|
|00003570| 20 20 20 20 53 54 41 4e | 44 41 52 44 20 44 45 56 |    STAN|DARD DEV|
|00003580| 49 41 54 49 4f 4e 20 49 | 4e 20 59 20 3d 20 34 2e |IATION I|N Y = 4.|
|00003590| 31 38 33 33 33 00 80 48 | 00 07 c6 f8 c5 20 0f 0d |18333..H|..... ..|
|000035a0| 2c 13 3a ac 22 50 4f 4c | 59 4e 4f 4d 49 41 4c 20 |,.:."POL|YNOMIAL |
|000035b0| 44 45 47 52 45 45 20 3d | 20 34 3a 20 20 20 20 49 |DEGREE =| 4:    I|
|000035c0| 4e 44 45 58 20 4f 46 20 | 44 45 54 45 52 4d 49 4e |NDEX OF |DETERMIN|
|000035d0| 41 54 49 4f 4e 20 3d 20 | 2e 39 39 32 38 00 80 0c |ATION = |.9928...|
|000035e0| 00 07 cb 96 20 0e 00 17 | f2 00 80 28 00 07 d5 f8 |.... ...|...(....|
|000035f0| c5 20 0f 0f 2c 13 3a ac | 22 50 4f 4c 59 4e 4f 4d |. ..,.:.|"POLYNOM|
|00003600| 49 41 4c 20 43 4f 45 46 | 46 49 43 49 45 4e 54 53 |IAL COEF|FICIENTS|
|00003610| 3a 00 80 58 00 07 df f8 | c5 20 0f 10 2c 13 3a ac |:..X....|. ..,.:.|
|00003620| 22 20 20 59 20 3d 20 31 | 37 2e 34 31 39 36 20 58 |"  Y = 1|7.4196 X|
|00003630| 5e 30 20 2d 20 2e 34 35 | 31 35 20 58 5e 31 20 2b |^0 - .45|15 X^1 +|
|00003640| 20 2e 30 35 36 32 36 20 | 58 5e 32 20 2d 20 2e 30 | .05626 |X^2 - .0|
|00003650| 30 33 31 39 38 20 58 5e | 33 20 2b 20 2e 30 30 30 |03198 X^|3 + .000|
|00003660| 30 34 36 30 35 20 58 5e | 34 00 80 29 00 07 ee f8 |04605 X^|4..)....|
|00003670| c5 20 0f 11 2c 0f 20 3a | ac 22 50 52 45 53 53 3a |. ..,. :|."PRESS:|
|00003680| 20 45 6e 74 65 72 20 74 | 6f 20 43 4f 4e 54 49 4e | Enter t|o CONTIN|
|00003690| 55 45 00 80 10 00 07 f3 | 01 00 1f 24 ea 9a 24 28 |UE......|...$..$(|
|000036a0| 12 29 00 80 22 00 07 f8 | 98 20 01 00 1f 24 eb e9 |.).."...|. ...$..|
|000036b0| 22 20 22 20 97 20 0e 00 | 07 fd 20 3a 8e 20 97 20 |" " . ..|.. :. . |
|000036c0| 0e 00 07 f3 00 80 3e 00 | 07 fd f8 83 3a f8 c5 20 |......>.|....:.. |
|000036d0| 12 2c 0f 12 3a ac 22 20 | 4d 41 4c 20 70 72 6f 76 |.,..:." |MAL prov|
|000036e0| 69 64 65 73 20 61 20 53 | 55 4d 4d 41 52 59 20 6f |ides a S|UMMARY o|
|000036f0| 66 20 61 6c 6c 20 64 61 | 74 61 20 70 6f 69 6e 74 |f all da|ta point|
|00003700| 73 3a 00 80 0c 00 08 02 | 96 20 0e 00 17 de 00 80 |s:......|. ......|
|00003710| 4e 00 08 07 f8 c5 20 14 | 2c 12 3a ac 22 44 61 74 |N..... .|,.:."Dat|
|00003720| 61 20 70 74 73 20 20 78 | 2d 61 63 74 75 61 6c 20 |a pts  x|-actual |
|00003730| 20 79 2d 61 63 74 75 61 | 6c 20 20 20 79 2d 63 61 | y-actua|l   y-ca|
|00003740| 6c 63 75 6c 61 74 65 64 | 20 20 20 20 64 69 66 66 |lculated|    diff|
|00003750| 20 20 20 20 20 20 20 25 | 64 69 66 66 00 80 0c 00 |       %|diff....|
|00003760| 08 0c 96 20 0e 00 17 ca | 00 80 5b 00 08 16 f8 c5 |... ....|..[.....|
|00003770| 20 15 2c 13 3a ac 22 20 | 20 20 31 20 20 20 20 20 | .,.:." |  1     |
|00003780| 20 20 20 20 20 20 20 20 | 20 34 30 20 20 20 20 20 |        | 40     |
|00003790| 20 20 20 20 20 20 32 20 | 20 20 20 20 20 20 20 20 |      2 |        |
|000037a0| 20 32 2e 35 39 36 33 20 | 20 20 20 20 20 20 20 20 | 2.5963 |        |
|000037b0| 2d 2e 35 39 36 33 20 20 | 20 20 20 20 2d 32 32 2e |-.5963  |    -22.|
|000037c0| 39 36 38 00 80 5c 00 08 | 20 f8 c5 20 16 2c 13 3a |968..\..| .. .,.:|
|000037d0| ac 22 20 20 20 32 20 20 | 20 20 20 20 20 20 20 20 |."   2  |        |
|000037e0| 20 20 20 20 33 39 20 20 | 20 20 20 20 20 20 20 20 |    39  |        |
|000037f0| 20 33 20 20 20 20 20 20 | 20 20 20 20 32 2e 32 31 | 3      |    2.21|
|00003800| 38 36 20 20 20 20 20 20 | 20 20 20 2e 37 38 31 33 |86      |   .7813|
|00003810| 39 20 20 20 20 20 20 33 | 35 2e 32 32 30 33 33 00 |9      3|5.22033.|
|00003820| 80 0c 00 08 25 96 20 0e | 00 17 ca 00 80 5b 00 08 |....%. .|.....[..|
|00003830| 2a f8 c5 20 17 2c 13 3a | ac 22 20 20 20 33 20 20 |*.. .,.:|."   3  |
|00003840| 20 20 20 20 20 20 20 20 | 20 20 20 20 33 32 20 20 |        |    32  |
|00003850| 20 20 20 20 20 20 20 20 | 20 34 20 20 20 20 20 20 |        | 4      |
|00003860| 20 20 20 20 34 2e 30 37 | 38 34 36 20 20 20 20 20 |    4.07|846     |
|00003870| 20 20 2d 2e 30 37 38 34 | 36 20 20 20 20 20 2d 31 |  -.0784|6     -1|
|00003880| 2e 39 32 33 36 39 00 80 | 5b 00 08 34 f8 c5 20 18 |.92369..|[..4.. .|
|00003890| 2c 13 3a ac 22 20 20 20 | 34 20 20 20 20 20 20 20 |,.:."   |4       |
|000038a0| 20 20 20 20 20 20 20 33 | 30 20 20 20 20 20 20 20 |       3|0       |
|000038b0| 20 20 20 20 35 20 20 20 | 20 20 20 20 20 20 20 35 |    5   |       5|
|000038c0| 2e 34 36 34 33 39 20 20 | 20 20 20 20 20 2e 34 36 |.46439  |     .46|
|000038d0| 34 33 39 20 20 20 20 20 | 20 2d 38 2e 34 39 38 34 |439     | -8.4984|
|000038e0| 36 00 80 0c 00 08 39 96 | 20 0e 00 17 ca 00 80 58 |6.....9.| ......X|
|000038f0| 00 08 3e f8 c5 20 19 2c | 13 3a ac 22 20 20 20 35 |..>.. .,|.:."   5|
|00003900| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 32 39 |        |      29|
|00003910| 20 20 20 20 20 20 20 20 | 20 20 20 36 20 20 20 20 |        |   6    |
|00003920| 20 20 20 20 20 20 36 2e | 32 31 36 31 31 36 20 20 |      6.|216116  |
|00003930| 20 20 20 2d 2e 32 31 36 | 31 31 36 20 20 20 2d 33 |   -.216|116   -3|
|00003940| 2e 34 37 36 37 00 80 0e | 00 08 48 f8 c5 20 1a 2c |.4767...|..H.. .,|
|00003950| 13 3a ac 00 80 5a 00 08 | 4d f8 c5 20 0f 0a 2c 13 |.:...Z..|M.. ..,.|
|00003960| 3a ac 22 20 20 20 20 2e | 2e 2e 2e 2e 2e 2e 2e 2e |:."    .|........|
|00003970| 2e 2e 2e 2e 2e 2e 2e 2e | 20 20 46 69 6e 69 73 68 |........|  Finish|
|00003980| 69 6e 67 20 61 74 20 74 | 68 65 20 6c 61 73 74 20 |ing at t|he last |
|00003990| 64 61 74 61 20 70 6f 69 | 6e 74 20 20 2e 2e 2e 2e |data poi|nt  ....|
|000039a0| 2e 2e 2e 2e 2e 2e 2e 2e | 2e 2e 2e 2e 2e 00 80 0c |........|........|
|000039b0| 00 08 52 96 20 0e 00 17 | f2 00 80 3b 00 08 57 f8 |..R. ...|...;..W.|
|000039c0| c5 20 0f 0c 2c 0f 12 3a | ac 22 4d 41 4c 20 66 69 |. ..,..:|."MAL fi|
|000039d0| 74 73 20 74 68 65 20 6e | 65 78 74 20 48 69 67 68 |ts the n|ext High|
|000039e0| 65 72 20 44 65 67 72 65 | 65 20 50 6f 6c 79 6e 6f |er Degre|e Polyno|
|000039f0| 6d 69 61 6c 00 80 36 00 | 08 61 f8 c5 20 0f 0e 2c |mial..6.|.a.. ..,|
|00003a00| 13 3a ac 22 50 4f 4c 59 | 4e 4f 4d 49 41 4c 20 44 |.:."POLY|NOMIAL D|
|00003a10| 45 47 52 45 45 20 3d 20 | 35 22 3a f8 c5 20 0f 0f |EGREE = |5":.. ..|
|00003a20| 2c 13 3a ac 22 49 4e 44 | 45 58 00 80 0c 00 08 66 |,.:."IND|EX.....f|
|00003a30| 96 20 0e 00 17 ca 00 80 | 50 00 08 6b f8 c5 20 0f |. ......|P..k.. .|
|00003a40| 0e 2c 13 3a ac 22 50 4f | 4c 59 4e 4f 4d 49 41 4c |.,.:."PO|LYNOMIAL|
|00003a50| 20 44 45 47 52 45 45 20 | 3d 20 36 22 3a f8 c5 20 | DEGREE |= 6":.. |
|00003a60| 0f 0f 2c 13 3a ac 22 49 | 4e 44 45 58 20 4f 46 20 |..,.:."I|NDEX OF |
|00003a70| 44 45 54 45 52 4d 49 4e | 41 54 49 4f 4e 20 3d 20 |DETERMIN|ATION = |
|00003a80| 2e 39 39 38 39 35 00 80 | 0c 00 08 70 96 20 0e 00 |.99895..|...p. ..|
|00003a90| 17 ca 00 80 42 00 08 75 | f8 c5 20 0f 0e 2c 13 3a |....B..u|.. ..,.:|
|00003aa0| ac 22 50 4f 4c 59 4e 4f | 4d 49 41 4c 20 44 45 47 |."POLYNO|MIAL DEG|
|00003ab0| 52 45 45 20 3d 20 37 22 | 3a f8 c5 20 0f 0f 2c 13 |REE = 7"|:.. ..,.|
|00003ac0| 3a ac 22 49 4e 44 45 58 | 20 4f 46 20 44 45 54 45 |:."INDEX| OF DETE|
|00003ad0| 52 4d 49 4e 00 80 0c 00 | 08 7a 96 20 0e 00 17 ca |RMIN....|.z. ....|
|00003ae0| 00 80 50 00 08 7f f8 c5 | 20 0f 0e 2c 13 3a ac 22 |..P.....| ..,.:."|
|00003af0| 50 4f 4c 59 4e 4f 4d 49 | 41 4c 20 44 45 47 52 45 |POLYNOMI|AL DEGRE|
|00003b00| 45 20 3d 20 38 22 3a f8 | c5 20 0f 0f 2c 13 3a ac |E = 8":.|. ..,.:.|
|00003b10| 22 49 4e 44 45 58 20 4f | 46 20 44 45 54 45 52 4d |"INDEX O|F DETERM|
|00003b20| 49 4e 41 54 49 4f 4e 20 | 3d 20 2e 39 39 36 39 30 |INATION |= .99690|
|00003b30| 00 80 0c 00 08 84 96 20 | 0e 00 17 ca 00 80 50 00 |....... |......P.|
|00003b40| 08 89 f8 c5 20 0f 0e 2c | 13 3a ac 22 50 4f 4c 59 |.... ..,|.:."POLY|
|00003b50| 4e 4f 4d 49 41 4c 20 44 | 45 47 52 45 45 20 3d 20 |NOMIAL D|EGREE = |
|00003b60| 39 22 3a f8 c5 20 0f 0f | 2c 13 3a ac 22 49 4e 44 |9":.. ..|,.:."IND|
|00003b70| 45 58 20 4f 46 20 44 45 | 54 45 52 4d 49 4e 41 54 |EX OF DE|TERMINAT|
|00003b80| 49 4f 4e 20 3d 20 2e 39 | 33 31 38 30 00 80 30 00 |ION = .9|3180..0.|
|00003b90| 08 93 f8 c5 20 0f 10 2c | 0f 20 3a ac 22 20 20 20 |.... ..,|. :."   |
|00003ba0| 2e 2e 2e 20 55 70 20 74 | 6f 20 74 68 65 20 31 30 |... Up t|o the 10|
|00003bb0| 30 74 68 20 44 65 67 72 | 65 65 20 21 00 80 0c 00 |0th Degr|ee !....|
|00003bc0| 08 98 96 20 0e 00 17 ca | 00 80 2a 00 08 9d f8 c5 |... ....|..*.....|
|00003bd0| 20 0f 11 2c 14 3a ac 22 | 50 52 45 53 53 3a 20 20 | ..,.:."|PRESS:  |
|00003be0| 53 50 41 43 45 42 41 52 | 20 66 6f 72 20 4d 45 4e |SPACEBAR| for MEN|
|00003bf0| 55 22 00 80 10 00 08 a2 | 01 00 00 24 ea 9a 24 28 |U"......|...$..$(|
|00003c00| 12 29 00 80 23 00 08 a7 | 98 20 01 00 00 24 ea 85 |.)..#...|. ...$..|
|00003c10| 28 0f 20 29 20 97 20 0e | 00 08 ac 20 3a 8e 20 97 |(. ) . .|... :. .|
|00003c20| 20 0e 00 08 a2 00 80 18 | 00 08 ac f8 83 3a 20 f8 | .......|.....: .|
|00003c30| 81 20 22 44 45 4d 4f 31 | 22 2c 1c 06 d6 00 80 18 |. "DEMO1|",......|
|00003c40| 00 08 b1 3a af e8 5f 5f | 5f 5f 5f 5f 5f 5f 5f 4c |...:..__|_______L|
|00003c50| 4f 47 4c 4f 47 00 80 22 | 00 08 b6 f8 83 3a f8 c5 |OGLOG.."|.....:..|
|00003c60| 20 12 2c 0f 20 3a ac 22 | 2a 20 4c 4f 47 2f 4c 4f | .,. :."|* LOG/LO|
|00003c70| 47 20 46 49 54 20 2a 00 | 80 0c 00 08 bb 96 20 0e |G FIT *.|...... .|
|00003c80| 00 17 ca 00 80 5b 00 08 | c0 f8 c5 20 14 2c 12 3a |.....[..|... .,.:|
|00003c90| ac 22 46 72 6f 6d 20 6d | 61 6e 79 20 66 6f 72 6d |."From m|any form|
|00003ca0| 75 6c 61 73 20 69 6e 20 | 53 63 69 65 6e 63 65 2c |ulas in |Science,|
|00003cb0| 20 79 6f 75 20 6d 61 79 | 20 6e 6f 74 20 72 65 71 | you may| not req|
|00003cc0| 75 69 72 65 20 67 72 65 | 61 74 20 70 72 65 63 69 |uire gre|at preci|
|00003cd0| 73 69 6f 6e 20 6f 6e 20 | 61 20 77 69 64 65 00 80 |sion on |a wide..|
|00003ce0| 55 00 08 c5 f8 c5 20 15 | 2c 12 3a ac 22 64 79 6e |U..... .|,.:."dyn|
|00003cf0| 61 6d 69 63 20 72 61 6e | 67 65 20 4c 6f 67 2f 4c |amic ran|ge Log/L|
|00003d00| 6f 67 20 73 63 61 6c 65 | 2e 20 54 68 75 73 20 79 |og scale|. Thus y|
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|00003d20| 74 65 64 20 77 69 74 68 | 20 6f 6e 65 20 6f 66 20 |ted with| one of |
|00003d30| 74 68 65 00 80 19 00 08 | ca f8 c5 20 16 2c 12 3a |the.....|... .,.:|
|00003d40| ac 22 66 6f 6c 6c 6f 77 | 69 6e 67 3a 00 80 0c 00 |."follow|ing:....|
|00003d50| 08 cf 96 20 0e 00 18 06 | 00 80 2e 00 08 d4 f8 c5 |... ....|........|
|00003d60| 20 18 2c 12 3a ac 22 28 | 61 29 20 41 20 74 61 62 | .,.:."(|a) A tab|
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|00003d80| 6f 69 6e 74 73 2e 00 80 | 0c 00 08 d9 96 20 0e 00 |oints...|..... ..|
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|00003dd0| 00 80 5d 00 08 e8 f8 c5 | 20 1a 2c 12 3a ac 22 28 |..].....| .,.:."(|
|00003de0| 63 29 20 41 20 6c 69 6e | 65 20 6f 72 20 73 6c 69 |c) A lin|e or sli|
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|00003e30| 00 08 ed f8 c5 20 0f 0a | 2c 12 3a ac 22 20 20 20 |..... ..|,.:."   |
|00003e40| 20 66 6f 72 20 73 75 62 | 73 65 71 75 65 6e 74 20 | for sub|sequent |
|00003e50| 6d 61 6e 69 70 75 6c 61 | 74 69 6f 6e 2c 20 6f 72 |manipula|tion, or|
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|00003eb0| 65 20 74 68 65 20 4c 6f | 67 2f 4c 6f 67 20 67 72 |e the Lo|g/Log gr|
|00003ec0| 61 70 68 20 69 73 20 61 | 20 73 74 72 61 69 67 68 |aph is a| straigh|
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|00003ee0| 20 6f 6e 6c 79 20 68 61 | 76 65 00 80 58 00 08 fc | only ha|ve..X...|
|00003ef0| f8 c5 20 0f 0d 2c 12 3a | ac 22 74 77 6f 20 64 61 |.. ..,.:|."two da|
|00003f00| 74 61 20 70 6f 69 6e 74 | 73 20 74 68 65 6e 20 4d |ta point|s then M|
|00003f10| 41 4c 20 67 69 76 65 73 | 20 63 6f 65 66 66 69 65 |AL gives| coeffie|
|00003f20| 6e 74 73 20 69 6e 20 74 | 68 65 20 66 6f 72 6d 20 |nts in t|he form |
|00003f30| 4c 6f 67 20 59 3d 41 20 | 4c 6f 67 20 58 20 2b 20 |Log Y=A |Log X + |
|00003f40| 42 2e 00 80 0c 00 09 01 | 96 20 0e 00 17 f2 00 80 |B.......|. ......|
|00003f50| 5b 00 09 06 f8 c5 20 0f | 0f 2c 12 3a ac 22 4c 69 |[..... .|.,.:."Li|
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|00003fa0| 20 4d 41 4c 20 77 69 6c | 6c 00 80 5b 00 09 0b f8 | MAL wil|l..[....|
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|00003fc0| 74 68 65 20 66 6f 72 6d | 75 6c 61 20 63 6f 65 66 |the form|ula coef|
|00003fd0| 66 69 63 65 6e 74 73 20 | 69 6e 20 74 68 65 20 66 |ficents |in the f|
|00003fe0| 6f 72 6d 20 4c 6f 67 20 | 59 3d 41 20 28 4c 6f 67 |orm Log |Y=A (Log|
|00003ff0| 20 58 29 5e 4e 20 2b 20 | 42 20 4c 6f 67 20 58 20 | X)^N + |B Log X |
|00004000| 2b 20 43 2e 00 80 0c 00 | 09 10 96 20 0e 00 17 ca |+ C.....|... ....|
|00004010| 00 80 28 00 09 15 f8 c5 | 20 0f 11 2c 16 3a ac 22 |..(.....| ..,.:."|
|00004020| 50 52 45 53 53 3a 20 45 | 6e 74 65 72 20 74 6f 20 |PRESS: E|nter to |
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|00004040| 1f 24 ea 9a 24 28 12 29 | 00 80 22 00 09 1f 98 20 |.$..$(.)|..".... |
|00004050| 01 00 1f 24 eb e9 22 20 | 22 20 97 20 0e 00 09 24 |...$.." |" . ...$|
|00004060| 20 3a 8e 20 97 20 0e 00 | 09 1a 00 80 1a 00 09 24 | :. . ..|.......$|
|00004070| f8 83 3a f8 c5 20 12 2c | 13 3a ac 22 45 58 41 4d |..:.. .,|.:."EXAM|
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|00004090| 00 80 5b 00 09 2e f8 c5 | 20 14 2c 12 3a ac 22 48 |..[.....| .,.:."H|
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|00004140| 65 72 65 2e 00 80 0c 00 | 09 38 96 20 0e 00 17 de |ere.....|.8. ....|
|00004150| 00 80 4a 00 09 3d f8 c5 | 20 19 2c 12 3a ac 22 59 |..J..=..| .,.:."Y|
|00004160| 6f 75 20 68 61 76 65 20 | 33 20 69 6e 70 75 74 20 |ou have |3 input |
|00004170| 70 6f 69 6e 74 73 2e 20 | 4e 6f 74 69 63 65 20 74 |points. |Notice t|
|00004180| 68 65 20 65 6e 6f 72 6d | 6f 75 73 20 64 79 6e 61 |he enorm|ous dyna|
|00004190| 6d 69 63 20 72 61 6e 67 | 65 3a 00 80 0c 00 09 42 |mic rang|e:.....B|
|000041a0| 96 20 0e 00 17 ca 00 80 | 24 00 09 47 f8 c5 20 0f |. ......|$..G.. .|
|000041b0| 0a 2c 13 3a ac 22 58 20 | 3d 20 20 35 30 20 20 20 |.,.:."X |=  50   |
|000041c0| 32 30 30 20 20 20 31 30 | 30 30 00 80 23 00 09 4c |200   10|00..#..L|
|000041d0| f8 c5 20 0f 0b 2c 13 3a | ac 22 59 20 3d 20 20 32 |.. ..,.:|."Y =  2|
|000041e0| 38 20 20 20 33 2e 31 20 | 20 20 2e 35 38 00 80 0c |8   3.1 |  .58...|
|000041f0| 00 09 51 96 20 0e 00 17 | de 00 80 29 00 09 56 f8 |..Q. ...|...)..V.|
|00004200| c5 20 0f 0d 2c 13 3a ac | 22 54 68 65 20 72 65 73 |. ..,.:.|"The res|
|00004210| 75 6c 74 61 6e 74 20 66 | 6f 72 6d 75 6c 61 20 69 |ultant f|ormula i|
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|00004f90| 61 76 65 00 80 16 00 0a | d2 ac 22 62 65 65 6e 20 |ave.....|.."been |
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|00004fb0| 20 0e 00 17 ca 00 80 29 | 00 0a dc f8 c5 20 0f 11 | ......)|..... ..|
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|00004fe0| 10 00 0a e1 01 00 1f 24 | ea 9a 24 28 12 29 00 80 |.......$|..$(.)..|
|00004ff0| 22 00 0a e6 98 20 01 00 | 1f 24 eb e9 22 20 22 20 |".... ..|.$.." " |
|00005000| 97 20 0e 00 0a eb 20 3a | 8e 20 97 20 0e 00 0a e1 |. .... :|. . ....|
|00005010| 00 80 1e 00 0a eb f8 83 | 3a f8 c5 20 12 2c 0f 14 |........|:.. .,..|
|00005020| 3a ac 22 42 49 56 41 52 | 49 41 42 4c 45 53 00 80 |:."BIVAR|IABLES..|
|00005030| 0c 00 0a f0 96 20 0e 00 | 17 ca 00 80 4d 00 0a f5 |..... ..|....M...|
|00005040| f8 c5 20 14 2c 12 3a ac | 22 54 68 69 73 20 69 73 |.. .,.:.|"This is|
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|00005090| 22 46 75 6e 63 74 69 6f | 6e 20 46 28 58 2c 59 29 |"Functio|n F(X,Y)|
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|000050c0| 22 85 28 0f b6 29 22 46 | 2f 22 85 28 0f b6 29 22 |".(..)"F|/".(..)"|
|000050d0| 58 3d 30 2c 20 46 3d 30 | 20 6d 75 73 74 20 62 65 |X=0, F=0| must be|
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|000050f0| 22 73 69 6d 75 6c 74 61 | 6e 65 6f 75 73 6c 79 20 |"simulta|neously |
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|00005110| 0c 00 0b 04 96 20 0e 00 | 17 f2 00 80 63 00 0b 09 |..... ..|....c...|
|00005120| ac 3a ac 3a ac 22 54 68 | 65 20 62 65 68 61 76 69 |.:.:."Th|e behavi|
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|00005140| 22 85 28 0f b6 29 22 58 | 20 61 64 6a 61 63 65 6e |".(..)"X| adjacen|
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|00005180| 00 0b 0e ac 3a ac 22 76 | 61 72 69 61 62 6c 65 73 |....:."v|ariables|
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|000051c0| 13 96 20 0e 00 17 f2 00 | 80 29 00 0b 18 f8 c5 20 |.. .....|.)..... |
|000051d0| 0f 11 2c 0f 26 3a ac 22 | 50 52 45 53 53 20 53 50 |..,.&:."|PRESS SP|
|000051e0| 41 43 45 42 41 52 20 66 | 6f 72 20 4d 45 4e 55 22 |ACEBAR f|or MENU"|
|000051f0| 00 80 10 00 0b 1d 01 00 | 00 24 ea 9a 24 28 12 29 |........|.$..$(.)|
|00005200| 00 80 23 00 0b 22 98 20 | 01 00 00 24 ea 85 28 0f |..#..". |...$..(.|
|00005210| 20 29 20 97 20 0e 00 0b | 27 20 3a 8e 20 97 20 0e | ) . ...|' :. . .|
|00005220| 00 0b 1d 00 80 18 00 0b | 27 f8 83 3a 20 f8 81 20 |........|'..: .. |
|00005230| 22 44 45 4d 4f 31 22 2c | 1c 09 92 00 80 1a 00 0b |"DEMO1",|........|
|00005240| 2c 3a af e8 5f 5f 5f 5f | 5f 5f 5f 5f 5f 49 4e 54 |,:..____|_____INT|
|00005250| 45 47 52 41 54 00 80 22 | 00 0b 31 f8 83 3a f8 c5 |EGRAT.."|..1..:..|
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|00005280| 00 17 ca 00 80 5a 00 0b | 3b f8 c5 20 14 2c 12 3a |.....Z..|;.. .,.:|
|00005290| ac 22 54 68 69 73 20 70 | 72 6f 67 72 61 6d 20 66 |."This p|rogram f|
|000052a0| 69 6e 64 73 20 74 68 65 | 20 61 72 65 61 20 75 6e |inds the| area un|
|000052b0| 64 65 72 20 61 20 73 69 | 6e 67 6c 65 2d 76 61 6c |der a si|ngle-val|
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|000052d0| 63 74 69 6f 6e 2c 20 6f | 72 20 74 68 65 00 80 52 |ction, o|r the..R|
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|000052f0| 62 65 74 77 65 65 6e 20 | 6c 69 6d 69 74 73 20 74 |between |limits t|
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|00005350| 2e 00 80 0c 00 0b 4a 96 | 20 0e 00 18 06 00 80 17 |......J.| .......|
|00005360| 00 0b 4f f8 c5 20 18 2c | 13 3a ac 22 45 58 41 4d |..O.. .,|.:."EXAM|
|00005370| 50 4c 45 3a 00 80 0c 00 | 0b 54 96 20 0e 00 17 ca |PLE:....|.T. ....|
|00005380| 00 80 33 00 0b 59 ac 22 | 20 20 20 46 69 6e 64 20 |..3..Y."|   Find |
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|000053a0| 75 72 76 65 3a 20 46 3d | 33 20 58 5e 35 2d 34 20 |urve: F=|3 X^5-4 |
|000053b0| 58 5e 33 00 80 0c 00 0b | 5e 96 20 0e 00 17 de 00 |X^3.....|^. .....|
|000053c0| 80 1b 00 0b 63 ac 3a ac | 22 20 20 4c 4f 57 45 52 |....c.:.|"  LOWER|
|000053d0| 20 4c 49 4d 49 54 20 3d | 20 31 00 80 19 00 0b 68 | LIMIT =| 1.....h|
|000053e0| ac 22 20 20 55 50 50 45 | 52 20 4c 49 4d 49 54 20 |."  UPPE|R LIMIT |
|000053f0| 3d 20 32 00 80 1d 00 0b | 6d ac 22 20 20 41 43 43 |= 2.....|m."  ACC|
|00005400| 55 52 41 43 59 20 20 20 | 20 3d 20 2e 30 30 30 31 |URACY   | = .0001|
|00005410| 00 80 0c 00 0b 72 96 20 | 0e 00 17 de 00 80 2a 00 |.....r. |......*.|
|00005420| 0b 77 ac 22 20 20 20 20 | 20 20 20 20 20 20 20 20 |.w."    |        |
|00005430| 20 20 41 52 45 41 20 49 | 4e 54 45 47 52 41 4c 20 |  AREA I|NTEGRAL |
|00005440| 3d 20 31 36 2e 35 00 80 | 0c 00 0b 7c 96 20 0e 00 |= 16.5..|...|. ..|
|00005450| 17 de 00 80 4b 00 0b 81 | f8 c5 20 0f 0f 2c 16 3a |....K...|.. ..,.:|
|00005460| ac 22 54 68 69 73 20 69 | 73 20 61 20 67 72 65 61 |."This i|s a grea|
|00005470| 74 20 70 72 6f 67 72 61 | 6d 20 74 6f 20 65 76 61 |t progra|m to eva|
|00005480| 6c 75 61 74 65 20 65 6c | 6c 69 70 74 69 63 20 69 |luate el|liptic i|
|00005490| 6e 74 65 67 72 61 6c 73 | 20 65 74 63 21 00 80 0c |ntegrals| etc!...|
|000054a0| 00 0b 86 96 20 0e 00 17 | ca 00 80 29 00 0b 8b f8 |.... ...|...)....|
|000054b0| c5 20 0f 11 2c 0f 20 3a | ac 22 50 52 45 53 53 3a |. ..,. :|."PRESS:|
|000054c0| 20 45 6e 74 65 72 20 74 | 6f 20 43 4f 4e 54 49 4e | Enter t|o CONTIN|
|000054d0| 55 45 00 80 10 00 0b 90 | 01 00 1f 24 ea 9a 24 28 |UE......|...$..$(|
|000054e0| 12 29 00 80 22 00 0b 95 | 98 20 01 00 1f 24 eb e9 |.).."...|. ...$..|
|000054f0| 22 20 22 20 97 20 0e 00 | 0b 9a 20 3a 8e 20 97 20 |" " . ..|.. :. . |
|00005500| 0e 00 0b 90 00 80 1a 00 | 0b 9a f8 83 3a f8 c5 20 |........|....:.. |
|00005510| 16 2c 13 3a ac 22 45 58 | 41 4d 50 4c 45 3a 00 80 |.,.:."EX|AMPLE:..|
|00005520| 0c 00 0b 9f 96 20 0e 00 | 17 de 00 80 3a 00 0b a4 |..... ..|....:...|
|00005530| f8 c5 20 18 2c 13 3a ac | 22 46 69 6e 64 20 6c 69 |.. .,.:.|"Find li|
|00005540| 6e 65 20 61 72 63 20 6c | 65 6e 67 74 68 20 6f 66 |ne arc l|ength of|
|00005550| 20 74 68 65 20 66 75 6e | 63 74 69 6f 6e 3a 20 46 | the fun|ction: F|
|00005560| 3d 58 2a 58 00 80 0c 00 | 0b a9 96 20 0e 00 17 de |=X*X....|... ....|
|00005570| 00 80 1e 00 0b ae f8 c5 | 20 1a 2c 13 3a ac 22 4c |........| .,.:."L|
|00005580| 4f 57 45 52 20 4c 49 4d | 49 54 20 3d 20 31 00 80 |OWER LIM|IT = 1..|
|00005590| 1f 00 0b b3 f8 c5 20 0f | 0a 2c 13 3a ac 22 55 50 |...... .|.,.:."UP|
|000055a0| 50 45 52 20 4c 49 4d 49 | 54 20 3d 20 32 00 80 23 |PER LIMI|T = 2..#|
|000055b0| 00 0b b8 f8 c5 20 0f 0c | 2c 13 3a ac 22 41 43 43 |..... ..|,.:."ACC|
|000055c0| 55 52 41 43 59 20 20 20 | 20 3d 20 2e 30 30 30 31 |URACY   | = .0001|
|000055d0| 00 80 0c 00 0b bd 96 20 | 0e 00 17 de 00 80 27 00 |....... |......'.|
|000055e0| 0b c2 f8 c5 20 0f 0e 2c | 13 3a ac 22 4c 49 4e 45 |.... ..,|.:."LINE|
|000055f0| 20 49 4e 54 45 47 52 41 | 4c 20 3d 20 33 2e 31 36 | INTEGRA|L = 3.16|
|00005600| 37 38 34 00 80 0c 00 0b | c7 96 20 0e 00 17 de 00 |784.....|.. .....|
|00005610| 80 47 00 0b cc f8 c5 20 | 0f 10 2c 13 3a ac 22 4e |.G..... |..,.:."N|
|00005620| 6f 72 6d 61 6c 6c 79 20 | 74 68 69 73 20 69 73 20 |ormally |this is |
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|00005640| 6c 79 20 64 69 66 66 69 | 63 75 6c 74 20 6f 6e 20 |ly diffi|cult on |
|00005650| 70 61 70 65 72 2e 00 80 | 0c 00 0b d1 96 20 0e 00 |paper...|..... ..|
|00005660| 17 ca 00 80 29 00 0b d6 | f8 c5 20 0f 11 2c 0f 20 |....)...|.. ..,. |
|00005670| 3a ac 22 50 52 45 53 53 | 3a 20 45 6e 74 65 72 20 |:."PRESS|: Enter |
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|00005690| db 01 00 1f 24 ea 9a 24 | 28 12 29 00 80 22 00 0b |....$..$|(.).."..|
|000056a0| e0 98 20 01 00 1f 24 eb | e9 22 20 22 20 97 20 0e |.. ...$.|." " . .|
|000056b0| 00 0b e5 20 3a 8e 20 97 | 20 0e 00 0b db 00 80 1a |... :. .| .......|
|000056c0| 00 0b e5 f8 83 3a f8 c5 | 20 16 2c 13 3a ac 22 45 |.....:..| .,.:."E|
|000056d0| 58 41 4d 50 4c 45 3a 00 | 80 0c 00 0b ea 96 20 0e |XAMPLE:.|...... .|
|000056e0| 00 17 de 00 80 56 00 0b | ef f8 c5 20 18 2c 13 3a |.....V..|... .,.:|
|000056f0| ac 22 46 69 6e 64 20 74 | 68 65 20 61 72 65 61 20 |."Find t|he area |
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|00005720| 6c 6c 79 20 73 70 61 63 | 65 64 2c 20 6f 64 64 20 |lly spac|ed, odd |
|00005730| 6e 75 6d 62 65 72 20 6f | 66 00 80 4a 00 0b f4 f8 |number o|f..J....|
|00005740| c5 20 19 2c 13 3a ac 22 | 6f 72 64 69 6e 61 74 65 |. .,.:."|ordinate|
|00005750| 73 20 58 28 4a 29 2c 20 | 61 20 63 6f 6d 6d 6f 6e |s X(J), |a common|
|00005760| 20 45 6e 67 69 6e 65 65 | 72 69 6e 67 20 6f 72 20 | Enginee|ring or |
|00005770| 53 63 69 65 6e 74 69 66 | 69 63 20 70 72 6f 62 6c |Scientif|ic probl|
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|00005790| 80 25 00 0b fe f8 c5 20 | 0f 0b 2c 13 3a ac 22 4e |.%..... |..,.:."N|
|000057a0| 55 4d 42 45 52 20 4f 46 | 20 50 4f 49 4e 54 53 20 |UMBER OF| POINTS |
|000057b0| 20 3d 20 35 00 80 24 00 | 0c 03 f8 c5 20 0f 0c 2c | = 5..$.|.... ..,|
|000057c0| 13 3a ac 22 4f 52 44 49 | 4e 41 54 45 20 53 50 41 |.:."ORDI|NATE SPA|
|000057d0| 43 49 4e 47 20 3d 20 32 | 00 80 31 00 0c 08 f8 c5 |CING = 2|..1.....|
|000057e0| 20 0f 0d 2c 13 3a ac 22 | 43 6f 72 72 65 73 70 6f | ..,.:."|Correspo|
|000057f0| 6e 64 69 6e 67 20 58 28 | 4a 29 20 20 3d 20 30 2c |nding X(|J)  = 0,|
|00005800| 32 2c 34 2c 31 36 2c 33 | 32 00 80 0c 00 0c 0d 96 |2,4,16,3|2.......|
|00005810| 20 0e 00 17 de 00 80 27 | 00 0c 12 f8 c5 20 0f 0f | ......'|..... ..|
|00005820| 2c 13 3a ac 22 41 52 45 | 41 20 49 4e 54 45 47 52 |,.:."ARE|A INTEGR|
|00005830| 41 4c 20 3d 20 37 34 2e | 36 36 36 37 00 80 0c 00 |AL = 74.|6667....|
|00005840| 0c 17 96 20 0e 00 17 de | 00 80 2a 00 0c 1c f8 c5 |... ....|..*.....|
|00005850| 20 0f 11 2c 0f 2a 3a ac | 22 50 52 45 53 53 3a 20 | ..,.*:.|"PRESS: |
|00005860| 20 53 50 41 43 45 42 41 | 52 20 66 6f 72 20 4d 45 | SPACEBA|R for ME|
|00005870| 4e 55 00 80 10 00 0c 21 | 01 00 00 24 ea 9a 24 28 |NU.....!|...$..$(|
|00005880| 12 29 00 80 23 00 0c 26 | 98 20 01 00 00 24 ea 85 |.)..#..&|. ...$..|
|00005890| 28 0f 20 29 20 97 20 0e | 00 0c 2b 20 3a 8e 20 97 |(. ) . .|..+ :. .|
|000058a0| 20 0e 00 0c 21 00 80 18 | 00 0c 2b f8 83 3a 20 f8 | ...!...|..+..: .|
|000058b0| 81 20 22 44 45 4d 4f 31 | 22 2c 1c 0a d2 00 80 19 |. "DEMO1|",......|
|000058c0| 00 0c 30 3a af e8 5f 5f | 5f 5f 5f 5f 5f 5f 44 49 |..0:..__|______DI|
|000058d0| 46 46 44 49 46 4e 00 80 | 3e 00 0c 35 f8 83 3a f8 |FFDIFN..|>..5..:.|
|000058e0| c5 20 13 2c 0f 13 3a ac | 22 2a 20 44 49 46 46 45 |. .,..:.|"* DIFFE|
|000058f0| 52 45 4e 54 49 41 54 49 | 4e 47 20 41 20 44 49 46 |RENTIATI|NG A DIF|
|00005900| 46 45 52 45 4e 54 49 41 | 4c 20 46 55 4e 43 54 49 |FERENTIA|L FUNCTI|
|00005910| 4f 4e 20 2a 00 80 0c 00 | 0c 3a 96 20 0e 00 17 de |ON *....|.:. ....|
|00005920| 00 80 5c 00 0c 3f f8 c5 | 20 15 2c 12 3a ac 22 54 |..\..?..| .,.:."T|
|00005930| 68 69 73 20 70 72 6f 67 | 72 61 6d 20 63 61 6c 63 |his prog|ram calc|
|00005940| 75 6c 61 74 65 73 20 74 | 68 65 20 61 63 63 75 72 |ulates t|he accur|
|00005950| 61 74 65 20 6e 75 6d 65 | 72 69 63 61 6c 20 76 61 |ate nume|rical va|
|00005960| 6c 75 65 20 6f 66 20 74 | 68 65 20 32 6e 64 2c 20 |lue of t|he 2nd, |
|00005970| 33 72 64 20 6f 72 20 6d | 6f 72 65 2c 00 80 56 00 |3rd or m|ore,..V.|
|00005980| 0c 44 ac 22 44 69 66 66 | 65 72 65 6e 74 69 61 6c |.D."Diff|erential|
|00005990| 20 43 6f 65 66 66 69 63 | 69 65 6e 74 73 20 77 69 | Coeffic|ients wi|
|000059a0| 74 68 20 72 65 73 70 65 | 63 74 20 54 20 6f 66 20 |th respe|ct T of |
|000059b0| 76 65 72 79 20 63 6f 6d | 70 6c 69 63 61 74 65 64 |very com|plicated|
|000059c0| 20 66 75 6e 63 74 69 6f | 6e 73 20 69 6e 20 58 2c | functio|ns in X,|
|000059d0| 54 2e 00 80 0c 00 0c 49 | 96 20 0e 00 18 1a 00 80 |T......I|. ......|
|000059e0| 45 00 0c 4e f8 c5 20 18 | 2c 12 3a ac 22 57 65 20 |E..N.. .|,.:."We |
|000059f0| 70 75 74 20 58 28 30 29 | 3d 58 2c 20 20 20 58 28 |put X(0)|=X,   X(|
|00005a00| 31 29 3d 64 58 2f 64 54 | 3d 58 27 2c 20 20 20 58 |1)=dX/dT|=X',   X|
|00005a10| 28 32 29 3d 58 27 27 20 | 20 61 6e 64 20 73 6f 20 |(2)=X'' | and so |
|00005a20| 6f 6e 2e 00 80 0c 00 0c | 53 96 20 0e 00 17 de 00 |on......|S. .....|
|00005a30| 80 18 00 0c 58 f8 c5 20 | 0f 0a 2c 13 3a ac 22 45 |....X.. |..,.:."E|
|00005a40| 58 41 4d 50 4c 45 3a 00 | 80 0c 00 0c 5d 96 20 0e |XAMPLE:.|....]. .|
|00005a50| 00 17 ca 00 80 5a 00 0c | 62 f8 c5 20 0f 0c 2c 12 |.....Z..|b.. ..,.|
|00005a60| 3a ac 22 46 69 6e 64 20 | 74 68 65 20 6e 75 6d 65 |:."Find |the nume|
|00005a70| 72 69 63 61 6c 20 76 61 | 6c 75 65 20 66 6f 72 20 |rical va|lue for |
|00005a80| 74 68 65 20 32 6e 64 20 | 44 69 66 66 65 72 65 6e |the 2nd |Differen|
|00005a90| 74 69 61 6c 20 43 6f 65 | 66 66 69 63 69 65 6e 74 |tial Coe|fficient|
|00005aa0| 20 77 69 74 68 20 72 65 | 73 70 65 63 74 00 80 35 | with re|spect..5|
|00005ab0| 00 0c 67 ac 22 74 6f 20 | 54 20 6f 66 20 74 68 65 |..g."to |T of the|
|00005ac0| 20 31 73 74 20 6f 72 64 | 65 72 20 66 75 6e 63 74 | 1st ord|er funct|
|00005ad0| 69 6f 6e 3a 20 46 3d 58 | 28 31 29 5e 33 2d 54 5e |ion: F=X|(1)^3-T^|
|00005ae0| 33 2e 00 80 0c 00 0c 6c | 96 20 0e 00 17 f2 00 80 |3......l|. ......|
|00005af0| 45 00 0c 71 f8 c5 20 0f | 0f 2c 13 3a ac 22 57 65 |E..q.. .|.,.:."We|
|00005b00| 20 61 72 65 20 67 69 76 | 65 6e 20 54 3d 31 2c 20 | are giv|en T=1, |
|00005b10| 20 58 28 30 29 3d 32 2c | 20 20 58 28 31 29 3d 33 | X(0)=2,|  X(1)=3|
|00005b20| 2c 20 20 58 28 32 29 3d | 34 2c 20 20 58 28 33 29 |,  X(2)=|4,  X(3)|
|00005b30| 3d 35 2e 00 80 0c 00 0c | 76 96 20 0e 00 17 ca 00 |=5......|v. .....|
|00005b40| 80 29 00 0c 7b f8 c5 20 | 0f 11 2c 0f 20 3a ac 22 |.)..{.. |..,. :."|
|00005b50| 50 52 45 53 53 3a 20 45 | 6e 74 65 72 20 74 6f 20 |PRESS: E|nter to |
|00005b60| 43 4f 4e 54 49 4e 55 45 | 00 80 10 00 0c 80 01 00 |CONTINUE|........|
|00005b70| 1f 24 ea 9a 24 28 12 29 | 00 80 22 00 0c 85 98 20 |.$..$(.)|..".... |
|00005b80| 01 00 1f 24 eb e9 22 20 | 22 20 97 20 0e 00 0c 8a |...$.." |" . ....|
|00005b90| 20 3a 8e 20 97 20 0e 00 | 0c 80 00 80 2e 00 0c 8a | :. . ..|........|
|00005ba0| f8 83 3a f8 c5 20 13 2c | 18 3a ac 22 4d 41 58 20 |..:.. .,|.:."MAX |
|00005bb0| 47 49 56 45 4e 20 46 55 | 4e 43 54 49 4f 4e 20 4f |GIVEN FU|NCTION O|
|00005bc0| 52 44 45 52 20 3d 20 31 | 00 80 2b 00 0c 8f f8 c5 |RDER = 1|..+.....|
|00005bd0| 20 15 2c 18 3a ac 22 52 | 45 51 55 49 52 45 44 20 | .,.:."R|EQUIRED |
|00005be0| 44 49 46 46 45 52 45 4e | 54 49 41 4c 20 20 20 20 |DIFFEREN|TIAL    |
|00005bf0| 3d 20 32 00 80 0c 00 0c | 94 96 20 0e 00 17 de 00 |= 2.....|.. .....|
|00005c00| 80 2f 00 0c 99 f8 c5 20 | 18 2c 13 3a ac 22 49 4e |./..... |.,.:."IN|
|00005c10| 50 55 54 20 4c 4f 57 45 | 52 20 44 49 46 46 45 52 |PUT LOWE|R DIFFER|
|00005c20| 45 4e 54 49 41 4c 20 56 | 41 4c 55 45 53 3a 00 80 |ENTIAL V|ALUES:..|
|00005c30| 0c 00 0c 9e 96 20 0e 00 | 17 de 00 80 18 00 0c a3 |..... ..|........|
|00005c40| f8 c5 20 19 2c 0f 1b 3a | ac 22 58 28 30 29 20 3d |.. .,..:|."X(0) =|
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|00005c60| ac 22 58 28 31 29 20 3d | 20 33 00 80 19 00 0c ad |."X(1) =| 3......|
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+--------+-------------------------+-------------------------+--------+--------+