A calculus student bungee jumps off a bridge. Her height is modeled in meters as h(t) = 15(1+e-t/3cos(t)) a) Plot the height of the jumper as a function of time from t=0 to t=20.   b) What is the derivative of h(t)? You will need the fact that d/dx (e-t/3) = -1/3e-t/3   c) Use the previous part to determine when jumper first bounces back  up-ward (round to the nearest hundredth of a second). Your solution process will involve an inverse tangent.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A calculus student bungee jumps off a bridge. Her height is modeled in meters as h(t) = 15(1+e-t/3cos(t))

a) Plot the height of the jumper as a function of time from t=0 to t=20.

 

b) What is the derivative of h(t)? You will need the fact that d/dx (e-t/3) = -1/3e-t/3

 

c) Use the previous part to determine when jumper first bounces back  up-ward (round to the nearest hundredth of a second). Your solution process will involve an inverse tangent.

 

d) What is the maximum velocity of the jumper within the first 20 seconds?

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