Let P = (a, b) be a critical point of (x, y) = x 2 + y

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Let P = (a, b) be a critical point of ƒ(x, y) = x2 + y4 − 4xy.

(a) First use fx(x, y) = 0 to show that a = 2b. Then use fy(x,y) = 0 to show that P = (0,0), (2 2, 2), or (-2

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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