Explanation Let f ( x ) be a function such that f " ( x ) > 0 for all x and such that it transitions from ++ to-+ at a critical point c where f ' ( c ) is defined. g(x 1 )-g(x 0 ) x 1 -x 0 =g' ( c 0 ) For some

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.5, Problem 78E

To determine

Assume that f' and f" exist for all x let c be a critical point of f. show that f(x) cannot make a transition from ++ to -+ at x=c .

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Chapter 4.5, Problem 77E

Chapter 4.5, Problem 79E

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A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?

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By using the numbers -5;-3,-0,1;6 and 8 once, find 30

Chapter 4 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Assume that f ' and f " exist for all x let c be a critical point of f . show that f ( x ) cannot make a transition from ++ to -+ at x = c .

Solution Summary: The author explains that f(x) cannot make a transition from ++ to -+ at x=c.

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Assume that f' and f" exist for all x let c be a critical point of f. show that f(x) cannot make a transition from ++ to -+ at x=c .

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Chapter 4 Solutions