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Unformatted text preview: note that INCREASING increases, D , (say = 21 gives D = 0 . 0322). So 20. Also note that. 03 = 18 1000 2 (12) gives two solutions: = 40 and =40. Keeping the second one and noting that DECREASING decreases (makes more negative) D , requires 40. So the range of allowed frequencies are 20 and 40 . (13) 3. The following Lissajous curves were plotted on Maple with the included commands: (a) plot([cos(t(1/5)*Pi), cos(2*t), t = 2*Pi . . 2*Pi]) (b) plot([cos(5*tPi), cos(4*t(1/2)*Pi), t = 2*Pi . . 2*Pi]) (c) plot([cos(10*t(1/2)*Pi), cos(11*tPi), t = 2*Pi . . 2*Pi]) (d) plot([cos(Pi*t), cos(t), t = 20000*Pi . . 20000*Pi]) Note in this last case, x / y is not a rational fraction, eectively lling the square. 2 3...
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This note was uploaded on 09/20/2010 for the course AMATH 261 taught by Professor Rogermelko during the Spring '10 term at Waterloo.
 Spring '10
 RogerMelko

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