A weight is suspended on a spring and set in motion such that it bobs up and down vertically. The equation h(t) = 3cos(3pi(t))+ 5 can be used to represent the height, h, in centimeters, of the weight above a desk after time, t, in seconds. Determine the instantaneous rate of change of the height at t = 3.5 seconds.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A weight is suspended on a spring and set in motion such that it bobs up and down
vertically. The equation h(t) = 3cos(3pi(t))+ 5 can be used to represent the height, h,
in centimeters, of the weight above a desk after time, t, in seconds. Determine the
instantaneous rate of change of the height at t = 3.5 seconds.
Transcribed Image Text:A weight is suspended on a spring and set in motion such that it bobs up and down vertically. The equation h(t) = 3cos(3pi(t))+ 5 can be used to represent the height, h, in centimeters, of the weight above a desk after time, t, in seconds. Determine the instantaneous rate of change of the height at t = 3.5 seconds.
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