(A) Find the local extrema of the functions f(x,y) = x+ y, g(x,y) = x2 + y2,...

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(A) Find the local extrema of the functions f(x,y) = x+ y, g(x,y) = x2 + y2, and h (x,y) = x3 + y3.
(B) Discuss the local extrema of the function k(x,y) = xn + yn, where n is a positive integar.

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College Mathematics for Business Economics Life Sciences and Social Sciences

ISBN: 978-0321614001

12th edition

Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

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Question Posted: Apr 14, 2016 08:42 AM

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(A) Find the local extrema of the functions f(x,y) = x+ y, g(x,y) = x2 + y2,...

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A fx y x y f x x y 1 0 f y x y 1 0 Thus f has no local extrema gx y x 2 y 2 g ...View the full answer

College Mathematics for Business Economics Life Sciences and Social Sciences

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