2. Show that the function, defined by f(x) = is NOT uniformly continuous on its x2 %3D domain D(f) = {r €R: z>0}.

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Q: f (x, y) = 5ye" – e5x – yð

A: for critical points equate the first derivative wrt x and y to zero.

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A: Let's evaluate given partial derivative.

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Q: Consider the Freudenstein and Roth test function f(x)= f;(x)² + f2(x)², xER?, where fi(x) =-13+x1…

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Q: B. Let z- ( x-y)exy Show: Zxx + zyy + e x9 Cy 3- x³)- -z (xy+ 2)

A: Given that                       z=(x-y)exy

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Q: 1. Show (in terms of e – 8) that a function f : R³ → R defined by f (x, y, z) = (2x + 3y + 4z) is…

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Q: Show (in terms of e - 6) that a function f : R → R defined by f(r, y, 2) = (2x + 3y + 42) is…

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