Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
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Chapter 5.3, Problem 104E
To determine

To graph: The displacement function for 0≤t≤10 . Also, find the time beyond which the displacement does not exceed 1 foot from equilibrium.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

The displacement from equilibrium of a weight oscillating on the end of a spring is given by,

  y=1.56e−0.22tcos4.9t

Where y is the displacement (in feet) and t is the time(in seconds).

Graph:

Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression 1.56e−0.22tcos4.9t which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

  Precalculus with Limits: A Graphing Approach, Chapter 5.3, Problem 104E

Interpretation:

According to the graph, the time beyond which the displacement does not exceed 1 foot from equilibrium is approximately 2 seconds .

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Chapter 5.3, Problem 103E
Next
Chapter 5.3, Problem 105E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

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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