PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
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Chapter 5.3, Problem 95E
To determine

To find: The months in which the unit sales exceed 100,000

Expert Solution & Answer
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Answer to Problem 95E

The months in which the sales exceeds 100,000 are May, June, July.

Explanation of Solution

Given information:

The monthly unit sales U (in thousands) of lawn mowers are approximated by,

  U=74.50−43.75cosπt6

Where t is time(in months), with t=1 corresponding to January.

Calculation:

Use table feature of a graphing utility to construct a table of values for the given function. To do this, enter

  y=74.50−43.75cosπt6

Now create a table that shows the values of y for different values of t(1−12) .

The table is obtained as:

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 5.3, Problem 95E

Interpretation:

According to the table, U>100 for t=5,6,7 .

Therefore, the months in which the sales exceeds 100,000 are May, June, July.

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Chapter 5.3, Problem 94E
Next
Chapter 5.3, Problem 96E

Chapter 5 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

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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