Find all local extrema of each of the following functions. a) f(x, y) = x2 - xy

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Find all local extrema of each of the following functions.
a) f(x, y) = x2 - xy + y3 - y
b) f(x, y) = sin x + cosy
c) f(x, y, z) = ex+y cos z
d) f (x, y) = ax2 + bxy + cy2, where a ≠ 0 and b2 - 4ac ≠ 0

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:22 AM

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Find all local extrema of each of the following functions. a) f(x, y) = x2 - xy

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a 0 f x 2x y and 0 f y x 3y 2 1 imply y 2x and 12x 2 x 1 0 ie x 1314 Since D 12...View the full answer

An Introduction to Analysis

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