Suppose a mass on a spring that is slowed by friction has the position function s(t) =
Question:
Suppose a mass on a spring that is slowed by friction has the position function s(t) = 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 [0, π].
c. Generalize part (b) and find the average value of the position on the interval [nπ, (n + 1)π], for n = 0, 1, 2, . . .
d. Let an be the absolute value of the average position on the intervals [nπ, (n + 1)π], for n = 0, 1, 2, . . . Describe the pattern in the numbers a0, a1, a2, . . .
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We have st 0 when sint 0 which a occurs for t kn where k is an integer b This is given by c ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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