Explanation Given information: During the flood, the water level in a river first rose faster and faster, then rose more and more slowly until it reached its highest point, then went back down to its pre-flood level. Definition used: A point at which the graph of a function f changes concavity is called an inflection point. Solution: When the water starts rising more slowly than it previously did the slope of the graph must start decreasing a little... To determine (b) To find: The time when the water first began to raise more slowly critical point or an inflection point.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 4.2, Problem 8P

To determine

(a)

To find:

Whether the time of highest level of water a critical point or an inflection point.

To determine

(b)

To find:

The time when the water first began to raise more slowly critical point or an inflection point.

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Chapter 4.2, Problem 7P

Chapter 4.2, Problem 9P

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The correct answer is D Could you explain and show the steps please

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

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(a) To find: Whether the time of highest level of water a critical point or an inflection point.