EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
3rd Edition
ISBN: 9781285607160
Author: Larson
Publisher: CENGAGE CO
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Chapter 5.3, Problem 90E
To determine

To Find: Time beyond which the displacement does not exceed 1 foot from the equilibrium .

Expert Solution & Answer
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Answer to Problem 90E

t=1.96 seconds

Explanation of Solution

Given:The displacement from the equilibirum of a weight oscillating on the end of the spring is given by y=1.56e−0.22tcos4.9tWhere y is the displacement (in feet ) and t is the time (in seconds). Use a graphing ability to graph the displacement function 0≤t≤10. Find the time beyond which the displacement does not exceed 1 foot from the equilibrium .

The given equation is

  y=1.56e−0.22tcos4.9t

The graph of the equation is

EBK PRECALCULUS W/LIMITS, Chapter 5.3, Problem 90E

From the graph it is concluded that

Right most point of intersection (1.96,-1)

The displacement does not exceed one foot from equilibrium after t=1.96 seconds

Hence ,The displacement does not exceed one foot from equilibrium after t=1.96 seconds

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Chapter 5.3, Problem 89E
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Chapter 5.3, Problem 91E

Chapter 5 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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