Solved: Two mountains without a saddle Show that the

Chapter 12, Problem 79

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Two mountains without a saddle Show that the following two functions have two local maxima but no other extreme points (therefore, there is no saddle or basin between the mountains). a. f 1x, y2 = -1x2 - 122 - 1x2 - ey22 b. f 1x, y2 = 4x2ey - 2x4 - e4y (Source: Ira Rosenholtz, Mathematics Magazine, Feb 1987)

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