Damped sine wave The graph of f 1t2 = e-kt sin t with k 7
Chapter 3, Problem 70(choose chapter or problem)
Damped sine wave The graph of f 1t2 = e-kt sin t with k 7 0 is called a damped sine wave; it is used in a variety of applications, such as modeling the vibrations of a shock absorber. a. Use a graphing utility to graph f for k = 1, 12 , and 1 10 to understand why these curves are called damped sine waves. What effect does k have on the behavior of the graph? b. Compute f _1t2 for k = 1 and use it to determine where the graph of f has a horizontal tangent. c. Evaluate lim tS_ e-t sin t by using the Squeeze Theorem. What does the result say about the oscillations of a damped sine wave?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer