Find the extreme values of (x, y) = x 2 + 2y 2 subject to the constraint

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Find the extreme values of ƒ(x, y) = x2 + 2y2 subject to the constraint g(x, y) = 4x − 6y = 25.

(a) Show that the Lagrange equations yield 2x = 42, 4y = -62. (b) Show that if x = 0 or y = 0, then the

(e) Does P correspond to a minimum or maximum value of f? Refer to Figure 12 to justify your an- swer. Hint:

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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