The position of a weight attached to a spring is s(t) = -7 cos 8πt inches after t seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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The position of a weight attached to a spring is s(t) = -7 cos 8πt inches after t seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?

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