Oscillator displacements Suppose a mass on a spring that
Chapter 7, Problem 69(choose chapter or problem)
Oscillator displacements Suppose a mass on a spring that is slowed by friction has the position function s1t2 = e-t sin t. a. Graph the position function. At what times does the oscillator pass through the position s = 0? b. Find the average value of the position on the interval 30, p4. c. Generalize part (b) and find the average value of the position on the interval 3np, 1n + 12p4, for n = 0, 1, 2, c. d. Let an be the absolute value of the average position on the intervals 3np, 1n + 12p4, for n = 0, 1, 2, c. Describe the pattern in the numbers a0, a1, a2, c.
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