Explanation Given: f ( x , y ) = A- ( x 2 + B x + y 2 + C y ) Calculation: Here, we have f ( x , y ) = A- ( x 2 + B x + y 2 + C y ) Now, f ( x , y ) = A- ( x 2 + B x + y 2 + C y ) f ( x ) = A − ( x 2 + B x ) f ( x ) = A − x 2 − B x f ' ( x ) = 0 − 2 x − B f ' ( x ) = − 2 x − B Let us take f ' ( − 2 ) = 0 at local maximum , f ' ( − 2 ) = 0 f ' ( − 2 ) ⇒ − 2 x − B = 0 f ' ( − 2 ) ⇒ − 2 ( − 2 ) − B = 0 f ' ( − 2 ) ⇒ 4 − B = 0 f ' ( − 2 ) ⇒ B = 4 Now coming to y portion, f ( y ) = − y 2 − C y

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 8.5, Problem 27P

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The values of A, B, C should be determined at (-2, 1) point.

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Chapter 8.5, Problem 26P

Chapter 8.5, Problem 28P

Chapter 8 Solutions

APPLIED CALCULUS (WILEY PLUS)

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

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The values of A, B, C should be determined at (-2, 1) point.

Solution Summary: The author explains that the values of A, B, and C are 10, 4, (-2) respectively.

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The values of A, B, C should be determined at (-2, 1) point.

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Chapter 8 Solutions