T 56. Damped sine wave The graph of f(t) = e¯' sin t is an exampleof a damped sine wave; it is used in a variety of applications, suchas modeling the vibrations of a shock absorber.a. Use a graphing utility to graph ƒ and explain why this curve iscalled a damped sine wave.b. Compute f'(1) and use it to determine where the graph of fhas a horizontal tangent.c. Evaluate lim e¯ª sin t by using the Squeeze Theorem. Whatdoes the result say about the oscillations of this damped sinewave?

(a) Comparing f(t) with AsinωtA=e-tAs we increse t its amplitude keeps on decreasing. Hence it is a…

Answered: e' sin t is an example 56. Damped sine…

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