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# Analyzing slopes Use the po ints A , , , , and E in the ISBN: 9780321570567 2

## Solution for problem 53E Chapter 3.1

Calculus: Early Transcendentals | 1st Edition

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Problem 53E

Analyzing slopes? ?Use the po? int?s A ? ,? ?,? , ? , ?and E in the following graphs to answer these questions. ? a. A? t which point(s) is the slope of the curve negative? ? b. A? t which point(s) is the slope of the curve positive? ? c. ?Using A–E, list the slopes in decreasing order.

Step-by-Step Solution:
Step 1 of 3

SOLUTION STEP 1 The lines drawn in orange are the slopes at those respective points. Now,let’s consider the slope at point A. change in y In A , we can find that when x increases y also increases.ie, change in x 0ie, is positive. Therefore A has a positive slope. Similarly we can find for other points also. (a). At which point(s) is the slope of the curve negative From the graph we can find that the slope of the graph is negative at points C and D. (b). At which point(s) is the slope of the curve positive From the graph we can find that the slope of the graph is negative at points A,B and E. (c). sing A–E, list the slopes in decreasing order. Slope at A > slope at B > slope at E > slope at C > slope at D

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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Analyzing slopes Use the po ints A , , , , and E in the