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| Unknown | 1996-07-25 | 9.0 KB |
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| Confidence | Program | Detection | Match Type | Support
|
|---|
| 1%
| dexvert
| Eclipse Tutorial (other/eclipseTutorial)
| ext
| Unsupported |
| 1%
| dexvert
| JuggleKrazy Tutorial (other/juggleKrazyTutorial)
| ext
| Unsupported |
| 100%
| file
| data
| default
| |
| 100%
| gt2
| Kopftext: 'TUTOR 06>'
| default (weak)
|
|
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 54 55 54 4f 52 20 30 36 | 3e 23 00 00 f1 00 00 00 |TUTOR 06|>#......|
|00000010| 53 65 63 74 69 6f 6e 20 | 35 2e 31 20 20 45 78 70 |Section |5.1 Exp|
|00000020| 6f 6e 65 6e 74 69 61 6c | 20 46 75 6e 63 74 69 6f |onential| Functio|
|00000030| 6e 73 20 61 6e 64 20 54 | 68 65 69 72 20 47 72 61 |ns and T|heir Gra|
|00000040| 70 68 73 0d 0a 00 0d 0a | 00 0e 65 35 2d 31 2d 31 |phs.....|..e5-1-1|
|00000050| 0e 47 75 69 64 65 64 20 | 45 78 61 6d 70 6c 65 20 |.Guided |Example |
|00000060| 31 0f 20 20 55 73 69 6e | 67 20 61 20 43 61 6c 63 |1. Usin|g a Calc|
|00000070| 75 6c 61 74 6f 72 20 74 | 6f 20 45 76 61 6c 75 61 |ulator t|o Evalua|
|00000080| 74 65 20 45 78 70 6f 6e | 65 6e 74 69 61 6c 20 46 |te Expon|ential F|
|00000090| 75 6e 63 74 69 6f 6e 73 | 0d 0a 00 0d 0b 00 0e 65 |unctions|.......e|
|000000a0| 35 2d 31 2d 32 0e 47 75 | 69 64 65 64 20 45 78 61 |5-1-2.Gu|ided Exa|
|000000b0| 6d 70 6c 65 20 32 0f 20 | 20 49 64 65 6e 74 69 66 |mple 2. | Identif|
|000000c0| 79 69 6e 67 20 74 68 65 | 20 47 72 61 70 68 20 6f |ying the| Graph o|
|000000d0| 66 20 61 6e 20 45 78 70 | 6f 6e 65 6e 74 69 61 6c |f an Exp|onential|
|000000e0| 20 46 75 6e 63 74 69 6f | 6e 0d 0a 00 0d 0b 00 0e | Functio|n.......|
|000000f0| 65 35 2d 31 2d 33 0e 47 | 75 69 64 65 64 20 45 78 |e5-1-3.G|uided Ex|
|00000100| 61 6d 70 6c 65 20 33 0f | 20 20 53 6b 65 74 63 68 |ample 3.| Sketch|
|00000110| 69 6e 67 20 74 68 65 20 | 47 72 61 70 68 20 6f 66 |ing the |Graph of|
|00000120| 20 61 6e 20 45 78 70 6f | 6e 65 6e 74 69 61 6c 20 | an Expo|nential |
|00000130| 46 75 6e 63 74 69 6f 6e | 0d 0a 00 0d 0b 00 0e 65 |Function|.......e|
|00000140| 35 2d 31 2d 34 0e 47 75 | 69 64 65 64 20 45 78 61 |5-1-4.Gu|ided Exa|
|00000150| 6d 70 6c 65 20 34 0f 20 | 20 43 6f 6d 70 6f 75 6e |mple 4. | Compoun|
|00000160| 64 20 49 6e 74 65 72 65 | 73 74 0d 0a 00 0d 0b 00 |d Intere|st......|
|00000170| 0e 65 35 2d 31 2d 35 0e | 47 75 69 64 65 64 20 45 |.e5-1-5.|Guided E|
|00000180| 78 61 6d 70 6c 65 20 35 | 0f 20 20 41 70 70 6c 69 |xample 5|. Appli|
|00000190| 63 61 74 69 6f 6e 0d 0a | 00 0d 0b 00 0e 69 35 2d |cation..|.....i5-|
|000001a0| 31 2d 31 0e 49 6e 74 65 | 67 72 61 74 65 64 20 45 |1-1.Inte|grated E|
|000001b0| 78 61 6d 70 6c 65 20 31 | 0f 20 20 53 6b 65 74 63 |xample 1|. Sketc|
|000001c0| 68 69 6e 67 20 74 68 65 | 20 47 72 61 70 68 20 6f |hing the| Graph o|
|000001d0| 66 20 61 6e 20 45 78 70 | 6f 6e 65 6e 74 69 61 6c |f an Exp|onential|
|000001e0| 20 46 75 6e 63 74 69 6f | 6e 0d 0a 00 0d 0b 00 0e | Functio|n.......|
|000001f0| 69 35 2d 31 2d 32 0e 49 | 6e 74 65 67 72 61 74 65 |i5-1-2.I|ntegrate|
|00000200| 64 20 45 78 61 6d 70 6c | 65 20 32 0f 20 20 53 6b |d Exampl|e 2. Sk|
|00000210| 65 74 63 68 69 6e 67 20 | 74 68 65 20 47 72 61 70 |etching |the Grap|
|00000220| 68 20 6f 66 20 61 6e 20 | 45 78 70 6f 6e 65 6e 74 |h of an |Exponent|
|00000230| 69 61 6c 20 46 75 6e 63 | 74 69 6f 6e 0d 0a 00 0d |ial Func|tion....|
|00000240| 0b 00 0e 69 35 2d 31 2d | 33 0e 49 6e 74 65 67 72 |...i5-1-|3.Integr|
|00000250| 61 74 65 64 20 45 78 61 | 6d 70 6c 65 20 33 0f 20 |ated Exa|mple 3. |
|00000260| 20 53 6b 65 74 63 68 69 | 6e 67 20 74 68 65 20 47 | Sketchi|ng the G|
|00000270| 72 61 70 68 20 6f 66 20 | 61 6e 20 45 78 70 6f 6e |raph of |an Expon|
|00000280| 65 6e 74 69 61 6c 20 46 | 75 6e 63 74 69 6f 6e 0d |ential F|unction.|
|00000290| 0a 00 53 65 63 74 69 6f | 6e 20 35 2e 31 20 20 45 |..Sectio|n 5.1 E|
|000002a0| 78 70 6f 6e 65 6e 74 69 | 61 6c 20 46 75 6e 63 74 |xponenti|al Funct|
|000002b0| 69 6f 6e 73 20 61 6e 64 | 20 54 68 65 69 72 20 47 |ions and| Their G|
|000002c0| 72 61 70 68 73 0d 0b 00 | 55 73 65 20 61 20 63 61 |raphs...|Use a ca|
|000002d0| 6c 63 75 6c 61 74 6f 72 | 20 74 6f 20 65 76 61 6c |lculator| to eval|
|000002e0| 75 61 74 65 20 74 68 65 | 20 67 69 76 65 6e 20 71 |uate the| given q|
|000002f0| 75 61 6e 74 69 74 79 2e | 20 20 52 6f 75 6e 64 20 |uantity.| Round |
|00000300| 79 6f 75 72 20 61 6e 73 | 77 65 72 73 20 74 6f 20 |your ans|wers to |
|00000310| 74 68 72 65 65 0d 0a 00 | 64 65 63 69 6d 61 6c 20 |three...|decimal |
|00000320| 70 6c 61 63 65 73 2e 0d | 0a 00 20 20 20 20 20 20 |places..|.. |
|00000330| 20 20 20 2d 11 32 32 11 | 34 70 20 20 20 20 20 20 | -.22.|4p |
|00000340| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000350| 20 20 20 20 20 11 32 33 | 2f 32 0d 0b 00 11 31 28 | .23|/2....1(|
|00000360| 61 29 20 20 31 2e 36 35 | 20 20 20 20 20 20 20 20 |a) 1.65| |
|00000370| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000380| 28 62 29 20 20 11 33 65 | 20 20 20 20 20 20 20 20 |(b) .3e| |
|00000390| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000003a0| 0d 0a 00 0d 0b 00 11 31 | 13 12 31 53 4f 4c 55 54 |.......1|..1SOLUT|
|000003b0| 49 4f 4e 12 30 0d 0b 00 | 20 20 20 20 20 0d 0b 00 |ION.0...| ...|
|000003c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000003d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000003e0| 20 20 20 20 20 20 20 20 | 20 2d 11 32 32 11 34 70 | | -.22.4p|
|000003f0| 0d 0b 00 11 31 61 29 20 | 20 4f 6e 20 6d 6f 73 74 |....1a) | On most|
|00000400| 20 63 61 6c 63 75 6c 61 | 74 6f 72 73 2c 20 74 6f | calcula|tors, to|
|00000410| 20 65 76 61 6c 75 61 74 | 65 20 31 2e 36 35 20 20 | evaluat|e 1.65 |
|00000420| 20 20 77 65 20 75 73 65 | 20 74 68 65 20 66 6f 6c | we use| the fol|
|00000430| 6c 6f 77 69 6e 67 20 6b | 65 79 73 74 72 6f 6b 65 |lowing k|eystroke|
|00000440| 0d 0a 00 20 20 20 20 73 | 65 71 75 65 6e 63 65 2e |... s|equence.|
|00000450| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |...... | |
|00000460| 20 11 34 5b 32 32 32 5d | 20 5b 32 32 32 5d 20 5b | .4[222]| [222] [|
|00000470| 32 32 32 5d 20 20 20 5b | 32 32 32 5d 20 20 20 5b |222] [|222] [|
|00000480| 32 32 32 5d 20 5b 32 32 | 32 32 32 5d 0d 0b 00 20 |222] [22|222]... |
|00000490| 20 20 20 20 20 11 31 31 | 2e 36 35 20 11 34 21 20 | .11|.65 .4! |
|000004a0| 11 31 5e 20 11 34 21 20 | 21 20 11 32 28 20 11 34 |.1^ .4! |! .2( .4|
|000004b0| 21 20 21 20 11 31 2d 20 | 11 34 21 20 11 31 32 20 |! ! .1- |.4! .12 |
|000004c0| 11 34 21 20 78 20 21 20 | 70 20 21 20 11 32 29 20 |.4! x ! |p ! .2) |
|000004d0| 11 34 21 20 21 11 32 45 | 4e 54 45 52 11 34 21 20 |.4! !.2E|NTER.4! |
|000004e0| 20 20 11 31 44 69 73 70 | 6c 61 79 3a 20 30 2e 30 | .1Disp|lay: 0.0|
|000004f0| 34 33 30 30 33 39 32 33 | 32 0d 0b 00 20 20 20 20 |43003923|2... |
|00000500| 20 20 20 20 20 20 20 11 | 34 6c 32 32 32 6a 20 6c | .|4l222j l|
|00000510| 32 32 32 6a 20 6c 32 32 | 32 6a 20 20 20 6c 32 32 |222j l22|2j l22|
|00000520| 32 6a 20 20 20 6c 32 32 | 32 6a 20 6c 32 32 32 32 |2j l22|2j l2222|
|00000530| 32 6a 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |2j | |
|00000540| 20 20 20 20 20 20 20 20 | 20 20 20 11 31 13 0d 0a | | .1...|
|00000550| 00 0d 0b 00 20 20 20 20 | 52 6f 75 6e 64 69 6e 67 |.... |Rounding|
|00000560| 20 6f 75 72 20 72 65 73 | 75 6c 74 20 74 6f 20 74 | our res|ult to t|
|00000570| 68 72 65 65 20 64 65 63 | 69 6d 61 6c 20 70 6c 61 |hree dec|imal pla|
|00000580| 63 65 73 20 77 65 20 68 | 61 76 65 20 0d 0a 00 20 |ces we h|ave ... |
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|000005a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 2d 11 32 | | -.2|
|000005b0| 32 11 34 70 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |2.4p... | |
|000005c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000005d0| 20 11 31 31 2e 36 35 20 | 20 20 20 11 34 7e 20 11 | .11.65 | .4~ .|
|000005e0| 31 30 2e 30 34 33 2e 13 | 0d 0a 00 0d 0b 00 20 20 |10.043..|...... |
|000005f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00000600| 32 33 2f 32 0d 0b 00 11 | 31 62 29 20 20 54 6f 20 |23/2....|1b) To |
|00000610| 65 76 61 6c 75 61 74 65 | 20 11 33 65 20 20 20 20 |evaluate| .3e |
|00000620| 11 31 77 65 20 77 6f 75 | 6c 64 20 75 73 65 20 74 |.1we wou|ld use t|
|00000630| 68 65 20 66 6f 6c 6c 6f | 77 69 6e 67 20 6b 65 79 |he follo|wing key|
|00000640| 73 74 72 6f 6b 65 73 2e | 0d 0a 00 20 20 20 20 20 |strokes.|... |
|00000650| 20 20 20 11 34 5b 32 32 | 5d 0d 0b 00 20 20 20 20 | .4[22|]... |
|00000660| 20 20 20 20 21 20 11 32 | 78 11 34 21 20 5b 32 32 | ! .2|x.4! [22|
|00000670| 32 5d 20 20 20 5b 32 32 | 32 5d 20 20 20 5b 32 32 |2] [22|2] [22|
|00000680| 32 5d 20 5b 32 32 32 32 | 32 5d 0d 0b 00 20 20 20 |2] [2222|2]... |
|00000690| 20 20 20 20 20 21 11 33 | 65 20 11 34 21 20 21 20 | !.3|e .4! ! |
|000006a0| 11 32 28 20 11 34 21 20 | 11 31 33 20 11 34 21 20 |.2( .4! |.13 .4! |
|000006b0| 3a 20 21 20 11 31 32 20 | 11 34 21 20 11 32 29 20 |: ! .12 |.4! .2) |
|000006c0| 11 34 21 20 21 11 32 45 | 4e 54 45 52 11 34 21 20 |.4! !.2E|NTER.4! |
|000006d0| 20 20 20 20 20 20 20 11 | 31 44 69 73 70 6c 61 79 | .|1Display|
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|00000710| 32 32 6a 20 6c 32 32 32 | 32 32 6a 20 20 20 20 20 |22j l222|22j |
|00000720| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000730| 20 20 20 20 20 20 11 31 | 0d 0a 00 0d 0a 00 20 20 | .1|...... |
|00000740| 20 20 52 6f 75 6e 64 69 | 6e 67 20 6f 75 72 20 72 | Roundi|ng our r|
|00000750| 65 73 75 6c 74 20 74 6f | 20 74 68 72 65 65 20 64 |esult to| three d|
|00000760| 65 63 69 6d 61 6c 20 70 | 6c 61 63 65 73 20 77 65 |ecimal p|laces we|
|00000770| 20 68 61 76 65 0d 0a 00 | 20 20 20 20 20 20 20 20 | have...| |
|00000780| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000790| 20 20 20 20 20 20 11 32 | 33 2f 32 0d 0b 00 20 20 | .2|3/2... |
|000007a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000007b0| 20 20 20 20 20 20 20 20 | 20 20 20 11 33 65 20 20 | | .3e |
|000007c0| 20 20 11 34 7e 20 11 31 | 34 2e 34 38 32 2e 0d 0a | .4~ .1|4.482...|
|000007d0| 00 53 65 63 74 69 6f 6e | 20 35 2e 31 20 20 45 78 |.Section| 5.1 Ex|
|000007e0| 70 6f 6e 65 6e 74 69 61 | 6c 20 46 75 6e 63 74 69 |ponentia|l Functi|
|000007f0| 6f 6e 73 20 61 6e 64 20 | 54 68 65 69 72 20 47 72 |ons and |Their Gr|
|00000800| 61 70 68 73 0d 0b 00 4d | 61 74 63 68 20 74 68 65 |aphs...M|atch the|
|00000810| 20 65 78 70 6f 6e 65 6e | 74 69 61 6c 20 66 75 6e | exponen|tial fun|
|00000820| 63 74 69 6f 6e 20 77 69 | 74 68 20 69 74 73 20 67 |ction wi|th its g|
|00000830| 72 61 70 68 2e 0d 0a 00 | 20 20 20 20 20 20 20 20 |raph....| |
|00000840| 20 20 20 20 20 11 32 78 | 20 20 20 20 20 20 20 20 | .2x| |
|00000850| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000860| 78 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |x | |
|00000870| 20 20 20 20 20 20 20 20 | 20 28 78 2d 31 29 0d 0b | | (x-1)..|
|00000880| 00 11 31 28 61 29 20 20 | 11 33 67 11 31 28 11 33 |..1(a) |.3g.1(.3|
|00000890| 78 11 31 29 20 3d 20 32 | 20 20 20 20 20 20 20 20 |x.1) = 2| |
|000008a0| 20 20 20 20 28 62 29 20 | 20 11 33 66 11 31 28 11 | (b) | .3f.1(.|
|000008b0| 33 78 11 31 29 20 3d 20 | 32 20 20 2d 20 31 20 20 |3x.1) = |2 - 1 |
|000008c0| 20 20 20 20 20 28 63 29 | 20 20 11 33 68 11 31 28 | (c)| .3h.1(|
|000008d0| 11 33 78 11 31 29 20 3d | 20 32 0d 0a 00 0d 0a 00 |.3x.1) =| 2......|
|000008e0| 20 20 49 2e 20 20 20 20 | 20 20 20 20 20 20 20 20 | I. | |
|000008f0| 20 20 20 20 20 20 20 20 | 20 20 49 49 2e 20 20 20 | | II. |
|00000900| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000910| 20 20 49 49 49 2e 0d 0a | 00 20 20 20 14 6b 36 2d | III...|. .k6-|
|00000920| 31 2d 32 61 2e 6d 14 34 | 14 39 14 34 35 14 38 14 |1-2a.m.4|.9.45.8.|
|00000930| 0d 0a 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|00000940| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 14 | | .|
|00000950| 6b 36 2d 31 2d 32 62 2e | 6d 14 32 39 14 39 14 34 |k6-1-2b.|m.29.9.4|
|00000960| 35 14 38 14 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |5.8.... | |
|00000970| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000980| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000990| 20 20 20 20 20 20 20 20 | 20 20 20 20 14 6b 36 2d | | .k6-|
|000009a0| 31 2d 32 63 2e 6d 14 35 | 34 14 39 14 34 35 14 38 |1-2c.m.5|4.9.45.8|
|000009b0| 14 0d 0a 00 0d 0a 00 0d | 0a 00 0d 0a 00 0d 0a 00 |........|........|
|000009c0| 0d 0a 00 13 12 31 53 4f | 4c 55 54 49 4f 4e 12 30 |.....1SO|LUTION.0|
|000009d0| 0d 0a 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |... | |
|000009e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000009f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00000a00| 32 78 0d 0b 00 11 31 61 | 29 20 20 54 68 65 20 11 |2x....1a|) The .|
|00000a10| 33 79 11 31 2d 69 6e 74 | 65 72 63 65 70 74 20 6f |3y.1-int|ercept o|
|00000a20| 66 20 74 68 65 20 66 75 | 6e 63 74 69 6f 6e 20 11 |f the fu|nction .|
|00000a30| 33 67 11 31 28 11 33 78 | 11 31 29 20 3d 20 32 20 |3g.1(.3x|.1) = 2 |
|00000a40| 20 6f 63 63 75 72 73 20 | 61 74 20 74 68 65 20 70 | occurs |at the p|
|00000a50| 6f 69 6e 74 20 28 30 2c | 20 31 29 2e 13 0d 0a 00 |oint (0,| 1).....|
|00000a60| 20 20 20 20 53 69 6e 63 | 65 20 47 72 61 70 68 20 | Sinc|e Graph |
|00000a70| 49 49 49 20 69 73 20 74 | 68 65 20 6f 6e 6c 79 20 |III is t|he only |
|00000a80| 6f 6e 65 20 77 69 74 68 | 20 74 68 69 73 20 69 6e |one with| this in|
|00000a90| 74 65 72 63 65 70 74 2c | 20 69 74 20 6d 75 73 74 |tercept,| it must|
|00000aa0| 20 62 65 20 74 68 65 20 | 67 72 61 70 68 0d 0a 00 | be the |graph...|
|00000ab0| 20 20 20 20 6f 66 20 11 | 33 67 11 31 2e 13 0d 0a | of .|3g.1....|
|00000ac0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|00000ad0| 20 20 20 20 20 20 20 11 | 32 78 20 20 20 20 20 20 | .|2x |
|00000ae0| 20 20 20 20 20 20 20 20 | 20 20 78 0d 0b 00 11 31 | | x....1|
|00000af0| 62 29 20 20 43 6f 6d 70 | 61 72 69 6e 67 20 11 33 |b) Comp|aring .3|
|00000b00| 66 11 31 28 11 33 78 11 | 31 29 20 3d 20 32 20 20 |f.1(.3x.|1) = 2 |
|00000b10| 2d 20 31 20 74 6f 20 11 | 33 67 11 31 28 11 33 78 |- 1 to .|3g.1(.3x|
|00000b20| 11 31 29 20 3d 20 32 20 | 2c 20 77 65 20 73 65 65 |.1) = 2 |, we see|
|00000b30| 20 74 68 61 74 20 11 33 | 66 11 31 28 11 33 78 11 | that .3|f.1(.3x.|
|00000b40| 31 29 20 3d 20 11 33 67 | 11 31 28 11 33 78 11 31 |1) = .3g|.1(.3x.1|
|00000b50| 29 20 2d 20 31 2e 0d 0a | 00 0d 0b 00 20 20 20 20 |) - 1...|.... |
|00000b60| 54 68 65 72 65 66 6f 72 | 65 2c 20 74 68 65 20 67 |Therefor|e, the g|
|00000b70| 72 61 70 68 20 6f 66 20 | 11 33 66 20 11 31 63 61 |raph of |.3f .1ca|
|00000b80| 6e 20 62 65 20 6f 62 74 | 61 69 6e 65 64 20 62 79 |n be obt|ained by|
|00000b90| 20 73 68 69 66 74 69 6e | 67 20 74 68 65 20 67 72 | shiftin|g the gr|
|00000ba0| 61 70 68 20 6f 66 20 11 | 33 67 20 11 31 64 6f 77 |aph of .|3g .1dow|
|00000bb0| 6e 0d 0a 00 20 20 20 20 | 6f 6e 65 20 75 6e 69 74 |n... |one unit|
|00000bc0| 2e 13 0d 0a 00 0d 0b 00 | 20 20 20 20 54 68 75 73 |........| Thus|
|00000bd0| 2c 20 77 65 20 63 68 6f | 6f 73 65 20 47 72 61 70 |, we cho|ose Grap|
|00000be0| 68 20 49 2e 13 0d 0a 00 | 0d 0b 00 20 20 20 20 20 |h I.....|... |
|00000bf0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000c00| 20 11 32 28 78 2d 31 29 | 20 20 20 20 20 20 20 20 | .2(x-1)| |
|00000c10| 20 20 20 20 78 0d 0b 00 | 11 31 63 29 20 20 43 6f | x...|.1c) Co|
|00000c20| 6d 70 61 72 69 6e 67 20 | 11 33 68 11 31 28 11 33 |mparing |.3h.1(.3|
|00000c30| 78 11 31 29 20 3d 20 32 | 20 20 20 20 20 20 74 6f |x.1) = 2| to|
|00000c40| 20 11 33 67 11 31 28 11 | 33 78 11 31 29 20 3d 20 | .3g.1(.|3x.1) = |
|00000c50| 32 20 2c 20 77 65 20 73 | 65 65 20 74 68 61 74 20 |2 , we s|ee that |
|00000c60| 11 33 68 11 31 28 11 33 | 78 11 31 29 20 3d 20 11 |.3h.1(.3|x.1) = .|
|00000c70| 33 67 11 31 28 11 33 78 | 20 11 31 2d 20 31 29 2e |3g.1(.3x| .1- 1).|
|00000c80| 13 0d 0a 00 0d 0b 00 20 | 20 20 20 54 68 65 72 65 |....... | There|
|00000c90| 66 6f 72 65 2c 20 74 68 | 65 20 67 72 61 70 68 20 |fore, th|e graph |
|00000ca0| 6f 66 20 11 33 68 20 11 | 31 63 61 6e 20 62 65 20 |of .3h .|1can be |
|00000cb0| 6f 62 74 61 69 6e 65 64 | 20 62 79 20 73 68 69 66 |obtained| by shif|
|00000cc0| 74 69 6e 67 20 74 68 65 | 20 67 72 61 70 68 20 6f |ting the| graph o|
|00000cd0| 66 20 11 33 67 20 11 31 | 6f 6e 65 0d 0a 00 20 20 |f .3g .1|one... |
|00000ce0| 20 20 75 6e 69 74 20 74 | 6f 20 74 68 65 20 72 69 | unit t|o the ri|
|00000cf0| 67 68 74 2e 13 0d 0a 00 | 0d 0b 00 20 20 20 20 54 |ght.....|... T|
|00000d00| 68 75 73 2c 20 77 65 20 | 63 68 6f 6f 73 65 20 47 |hus, we |choose G|
|00000d10| 72 61 70 68 20 49 49 2e | 0d 0a 00 53 65 63 74 69 |raph II.|...Secti|
|00000d20| 6f 6e 20 35 2e 31 20 20 | 45 78 70 6f 6e 65 6e 74 |on 5.1 |Exponent|
|00000d30| 69 61 6c 20 46 75 6e 63 | 74 69 6f 6e 73 20 61 6e |ial Func|tions an|
|00000d40| 64 20 54 68 65 69 72 20 | 47 72 61 70 68 73 0d 0b |d Their |Graphs..|
|00000d50| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|00000d60| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 32 2d | | .2-|
|00000d70| 78 0d 0b 00 11 31 53 6b | 65 74 63 68 20 74 68 65 |x....1Sk|etch the|
|00000d80| 20 67 72 61 70 68 20 6f | 66 20 11 33 66 11 31 28 | graph o|f .3f.1(|
|00000d90| 11 33 78 11 31 29 20 3d | 20 11 33 65 20 20 11 31 |.3x.1) =| .3e .1|
|00000da0| 2e 0d 0a 00 0d 0b 00 13 | 12 31 53 4f 4c 55 54 49 |........|.1SOLUTI|
|00000db0| 4f 4e 12 30 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |ON.0... | |
|00000dc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000dd0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00000de0| 32 78 0d 0b 00 11 31 46 | 69 72 73 74 2c 20 77 65 |2x....1F|irst, we|
|00000df0| 20 63 6f 6e 73 69 64 65 | 72 20 74 68 65 20 67 72 | conside|r the gr|
|00000e00| 61 70 68 20 6f 66 20 11 | 33 67 11 31 28 11 33 78 |aph of .|3g.1(.3x|
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|00001070| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|00001090| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|000010c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|000011d0| 20 11 31 3d 20 24 32 35 | 39 30 2e 37 31 0d 0b 00 | .1= $25|90.71...|
|000011e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000011f0| 20 20 20 20 20 20 20 11 | 34 39 20 20 20 20 20 20 | .|49 |
|00001200| 11 31 31 20 11 34 30 20 | 20 20 20 20 20 20 20 20 |.11 .40 | |
|00001210| 20 20 20 20 20 20 20 11 | 31 13 0d 0a 00 20 20 20 | .|1.... |
|00001220| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001230| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 32 | | .2|
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|000012a0| 32 21 20 20 20 20 20 20 | 20 11 31 3d 20 24 32 36 |2! | .1= $26|
|000012b0| 36 33 2e 35 37 0d 0b 00 | 20 20 20 20 20 20 20 20 |63.57...| |
|000012c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|000012d0| 34 39 20 20 20 20 20 11 | 31 31 32 20 11 34 30 20 |49 .|112 .40 |
|000012e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000012f0| 20 00 0c 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | .. | |
|00001300| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001310| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001320| 20 20 20 20 20 20 20 20 | 11 31 0d 0a 00 20 20 20 | |.1... |
|00001330| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001340| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 32 | | .2|
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|00001360| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001370| 20 11 34 28 20 20 20 20 | 11 31 30 2e 30 38 11 34 | .4( |.10.08.4|
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|00001390| 20 20 20 20 20 20 20 11 | 33 41 20 11 31 3d 20 31 | .|3A .1= 1|
|000013a0| 32 30 30 11 34 21 11 31 | 31 20 2b 20 11 34 32 32 |200.4!.1|1 + .422|
|000013b0| 32 32 21 20 20 20 20 20 | 20 20 20 11 31 3d 20 24 |22! | .1= $|
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|000013d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000013e0| 20 11 34 39 20 20 20 20 | 20 11 31 33 36 35 11 34 | .49 | .1365.4|
|000013f0| 30 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |0 | |
|00001400| 20 20 20 11 31 13 20 20 | 20 20 20 20 20 20 20 20 | .1. | |
|00001410| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001420| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001430| 20 20 20 20 20 20 20 20 | 20 20 20 20 0d 0a 00 0d | | ....|
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|000014c0| 20 20 20 20 20 20 11 33 | 41 20 11 31 3d 20 11 33 | .3|A .1= .3|
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|00001510| 20 20 20 20 20 20 20 20 | 20 20 20 11 32 30 2e 30 | | .20.0|
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|00001540| 32 30 30 11 33 65 20 20 | 20 20 20 20 20 20 20 11 |200.3e | .|
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|000015a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000015b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000015c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000015d0| 20 20 20 20 20 20 20 20 | 20 20 11 32 30 2e 30 30 | | .20.00|
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|00001620| 20 11 31 3d 20 33 30 30 | 20 2d 20 30 2e 32 35 11 | .1= 300| - 0.25.|
|00001630| 33 65 20 20 20 20 20 20 | 11 32 2e 0d 0a 00 11 31 |3e |.2.....1|
|00001640| 46 69 6e 64 20 74 68 65 | 20 70 72 69 63 65 20 11 |Find the| price .|
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|00001700| 20 20 20 20 20 20 20 20 | 20 20 20 11 32 30 2e 30 | | .20.0|
|00001710| 30 32 28 31 32 30 30 29 | 0d 0b 00 20 20 20 20 20 |02(1200)|... |
|00001720| 20 20 20 20 20 11 33 70 | 20 11 31 3d 20 33 30 30 | .3p| .1= 300|
|00001730| 20 2d 20 30 2e 32 35 11 | 33 65 20 20 20 20 20 20 | - 0.25.|3e |
|00001740| 20 20 20 20 20 11 31 13 | 0d 0a 00 0d 0b 00 20 20 | .1.|...... |
|00001750| 20 20 20 20 20 20 20 20 | 20 20 11 34 7e 20 11 31 | | .4~ .1|
|00001760| 32 39 37 2e 32 34 13 0d | 0a 00 0d 0b 00 4c 65 74 |297.24..|.....Let|
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|000017d0| 20 20 20 20 20 20 20 20 | 20 20 11 32 30 2e 30 30 | | .20.00|
|000017e0| 32 28 31 38 30 30 29 0d | 0b 00 20 20 20 20 20 20 |2(1800).|.. |
|000017f0| 20 20 20 20 11 33 70 20 | 11 31 3d 20 33 30 30 20 | .3p |.1= 300 |
|00001800| 2d 20 30 2e 32 35 11 33 | 65 20 20 20 20 20 20 20 |- 0.25.3|e |
|00001810| 20 20 20 20 11 31 13 0d | 0a 00 0d 0b 00 20 20 20 | .1..|..... |
|00001820| 20 20 20 20 20 20 20 20 | 20 11 34 7e 20 11 31 32 | | .4~ .12|
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|000018f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|000019b0| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
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|00001ca0| 61 6e 64 20 68 61 73 0d | 0a 00 61 20 11 33 79 11 |and has.|..a .3y.|
|00001cb0| 31 2d 69 6e 74 65 72 63 | 65 70 74 20 61 74 20 28 |1-interc|ept at (|
|00001cc0| 30 2c 20 31 29 2e 0d 0a | 00 53 65 63 74 69 6f 6e |0, 1)...|.Section|
|00001cd0| 20 35 2e 31 20 20 45 78 | 70 6f 6e 65 6e 74 69 61 | 5.1 Ex|ponentia|
|00001ce0| 6c 20 46 75 6e 63 74 69 | 6f 6e 73 20 61 6e 64 20 |l Functi|ons and |
|00001cf0| 54 68 65 69 72 20 47 72 | 61 70 68 73 0d 0b 00 20 |Their Gr|aphs... |
|00001d00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d10| 20 20 20 20 20 20 20 20 | 20 20 20 11 32 28 78 2b | | .2(x+|
|00001d20| 32 29 0d 0b 00 11 31 53 | 6b 65 74 63 68 20 74 68 |2)....1S|ketch th|
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|00001d40| 28 11 33 78 11 31 29 20 | 3d 20 33 20 20 20 20 20 |(.3x.1) |= 3 |
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|00001d60| 4f 4e 12 30 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |ON.0... | |
|00001d70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 32 | | .2|
|00001d90| 78 0d 0b 00 11 31 46 69 | 72 73 74 20 77 65 20 63 |x....1Fi|rst we c|
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|00001dd0| 74 68 61 74 20 11 33 66 | 11 31 28 11 33 78 11 31 |that .3f|.1(.3x.1|
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|00001df0| 2b 20 32 29 2e 13 0d 0a | 00 0d 0b 00 54 68 65 72 |+ 2)....|....Ther|
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|00001e10| 20 6f 66 20 11 33 66 20 | 11 31 63 61 6e 20 62 65 | of .3f |.1can be|
|00001e20| 20 6f 62 74 61 69 6e 65 | 64 20 62 79 20 73 68 69 | obtaine|d by shi|
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|00001e40| 6f 66 20 11 33 67 20 11 | 31 74 77 6f 20 75 6e 69 |of .3g .|1two uni|
|00001e50| 74 73 0d 0a 00 0d 0b 00 | 74 6f 20 74 68 65 20 6c |ts......|to the l|
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|00001e70| 2d 34 61 2e 6d 14 32 36 | 14 31 39 14 35 30 14 38 |-4a.m.26|.19.50.8|
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|00001ed0| 69 6f 6e 20 35 2e 31 20 | 20 45 78 70 6f 6e 65 6e |ion 5.1 | Exponen|
|00001ee0| 74 69 61 6c 20 46 75 6e | 63 74 69 6f 6e 73 20 61 |tial Fun|ctions a|
|00001ef0| 6e 64 20 54 68 65 69 72 | 20 47 72 61 70 68 73 0d |nd Their| Graphs.|
|00001f00| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.. | |
|00001f10| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001f20| 11 32 32 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |.22... | |
|00001f30| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001f40| 20 20 2d 78 0d 0b 00 11 | 31 53 6b 65 74 63 68 20 | -x....|1Sketch |
|00001f50| 74 68 65 20 67 72 61 70 | 68 20 6f 66 20 11 33 66 |the grap|h of .3f|
|00001f60| 11 31 28 11 33 78 11 31 | 29 20 3d 20 33 20 20 2e |.1(.3x.1|) = 3 .|
|00001f70| 0d 0a 00 0d 0a 00 13 12 | 31 53 4f 4c 55 54 49 4f |........|1SOLUTIO|
|00001f80| 4e 12 30 0d 0a 00 0d 0b | 00 46 69 72 73 74 2c 20 |N.0.....|.First, |
|00001f90| 77 65 20 6e 6f 74 65 20 | 74 68 61 74 20 74 68 65 |we note |that the|
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|00001fb0| 69 73 20 73 79 6d 6d 65 | 74 72 69 63 20 77 69 74 |is symme|tric wit|
|00001fc0| 68 20 72 65 73 70 65 63 | 74 20 74 6f 20 74 68 65 |h respec|t to the|
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|00001fe0| 00 62 65 63 61 75 73 65 | 20 0d 0b 00 20 20 20 20 |.because| ... |
|00001ff0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002000| 20 20 20 20 20 20 20 20 | 20 20 20 11 32 32 20 20 | | .22 |
|00002010| 20 20 20 32 0d 0b 00 20 | 20 20 20 20 20 20 20 20 | 2... | |
|00002020| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002030| 20 2d 28 2d 78 29 20 20 | 20 20 2d 78 0d 0b 00 20 | -(-x) | -x... |
|00002040| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002050| 11 33 66 11 31 28 2d 11 | 33 78 11 31 29 20 3d 20 |.3f.1(-.|3x.1) = |
|00002060| 33 20 20 20 20 20 20 3d | 20 33 20 20 20 3d 20 11 |3 =| 3 = .|
|00002070| 33 66 11 31 28 11 33 78 | 11 31 29 2e 13 0d 0a 00 |3f.1(.3x|.1).....|
|00002080| 0d 0b 00 55 73 69 6e 67 | 20 74 68 69 73 20 73 79 |...Using| this sy|
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|000020f0| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002100| 32 32 32 5d 0d 0b 00 20 | 21 20 20 20 20 20 20 21 |222]... |! !|
|00002110| 20 20 20 20 20 21 20 20 | 20 20 20 20 21 20 20 20 | ! | ! |
|00002120| 20 20 20 21 20 20 20 20 | 20 20 21 20 20 20 20 20 | ! | ! |
|00002130| 20 21 0d 0b 00 20 21 20 | 20 20 11 33 78 20 20 11 | !... ! | .3x .|
|00002140| 34 21 20 20 11 31 30 20 | 20 11 34 21 20 11 31 30 |4! .10 | .4! .10|
|00002150| 2e 35 20 20 11 34 21 20 | 11 31 31 2e 30 20 20 11 |.5 .4! |.11.0 .|
|00002160| 34 21 20 11 31 31 2e 35 | 20 20 11 34 21 20 11 31 |4! .11.5| .4! .1|
|00002170| 32 2e 30 20 20 11 34 21 | 0d 0b 00 20 21 32 32 32 |2.0 .4!|... !222|
|00002180| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002190| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|000021a0| 32 32 32 32 32 21 0d 0b | 00 20 21 20 20 20 20 20 |22222!..|. ! |
|000021b0| 20 21 20 20 20 20 20 21 | 20 20 20 20 20 20 21 20 | ! !| ! |
|000021c0| 20 20 20 20 20 21 20 20 | 20 20 20 20 21 20 20 20 | ! | ! |
|000021d0| 20 20 20 21 0d 0b 00 20 | 21 20 11 33 66 11 31 28 | !... |! .3f.1(|
|000021e0| 11 33 78 11 31 29 20 11 | 34 21 20 20 11 31 31 20 |.3x.1) .|4! .11 |
|000021f0| 20 11 34 21 20 11 31 30 | 2e 37 36 20 11 34 21 20 | .4! .10|.76 .4! |
|00002200| 11 31 30 2e 33 33 20 11 | 34 21 20 11 31 30 2e 30 |.10.33 .|4! .10.0|
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|00002220| 20 20 20 20 20 20 20 0d | 0b 00 20 6c 32 32 32 32 | .|.. l2222|
|00002230| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
|00002240| 32 32 32 32 32 32 32 32 | 32 32 32 32 32 32 32 32 |22222222|22222222|
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+--------+-------------------------+-------------------------+--------+--------+
