EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
3rd Edition
ISBN: 9781285607160
Author: Larson
Publisher: CENGAGE CO
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Question
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Chapter 3.4, Problem 86E

a.

To determine

Draw a graph of data points and the model and find the horizontal asymptote.

a.

Expert Solution
Check Mark

Answer to Problem 86E

The horizontal asymptote is T=20 .

Explanation of Solution

Given:

The given model equation is T=20[1+7(2−h)] and the given table is

  EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 86E , additional homework tip 1

Calculation:

  T=20[1+7(2−h)]

Use the graphing utility.

The graph of the model is given below.

  EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 86E , additional homework tip 2

Hence the horizontal asymptote is T=20 .

b.

To determine

Find the time for the given temperature.

b.

Expert Solution
Check Mark

Answer to Problem 86E

The time for given temperature is h=0.807 hour.

Explanation of Solution

Given:

The given model equation is T=20[1+7(2−h)] and the given table is

  EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 86E , additional homework tip 3

The given temperature is 100° .

Calculation:

  T=20[1+7(2−h)]

Use the graphing utility.

The graph of the model is given below.

  EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 86E , additional homework tip 4

Substitute the value of T=100° in the given equation.

  100=20[1+7( 2 −h)]⇒10020=2020[1+7( 2 −h)]⇒5=1+72h⇒5−1=1+72h−1⇒4=72h⇒2h=74

Taking log2 on both sides.

  ⇒log22h=log2(74)⇒h=log27−log24⇒h=2.807−2⇒h=0.807

Hence the time for given temperature is h=0.807 hour.

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Chapter 3.4, Problem 85E
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Chapter 3.4, Problem 87E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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