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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.

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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...

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##### ISBN: 9780321570567

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