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Need to create an exponential sinusoid oscillate 5 times per second. Amplitude e

ID: 1807180 • Letter: N

Question

Need to create an exponential sinusoid oscillate 5 times per second. Amplitude envelope increases 25% every second. Amplitude is 1 at t =0. The derivative at t = 0 is 54.6371. I know the sinusoid has to be a cos(2*pi*5*t) for the exponential exp(at), it becomes exp(a) = 0.25 for t = 1, 25% increase. Hence a = ln(0.25) = -1.38629 So for a growing exponential exp(+1.38629*t) Hence my expression becomes exp(+1.38629*t) * cos(2*pi*5*t). t = 0 is equal to one. but the derivative at t=0 is 1.38629 when it should be 54.6371 . Dont know how to fix this.

Explanation / Answer

please go through the fallowing link.we will get the complete solution. http://www.chegg.com/homework-help/questions-and-answers/need-create-exponential-sinusoid-oscillate-5-times-second-amplitude-envelope-increases-25--q3513032

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