BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2.6, Problem 42E
To determine

To estimate: The rate of change of the temperature after an hour.

Expert Solution

Answer to Problem 42E

The rate of change of the temperature after an hour is approximately is 0.67°F/min.

Explanation of Solution

Result used:

The slope of the line passing through the points (x1,y1) and (x2,y2) is y2y1x2x1.

Calculation:

From the graph, the points are f(60)=120 and f(90)=100 on the tangent line.

Obtain the slope of the tangent line.

Use the slope formula stated above and compute the slope of the line passing through the points (60,120) and (90,100).

m=1001209060=20300.67

Thus, the slope of the tangent line is 0.67.

Therefore, the rate of change of the temperature after an hour is approximately 0.67°F/min.

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