can you please do part b A6. Let u(x, y) be the 2-variable function u(x, y) = (x + 2)y - exp(x + y).(a) Find the partial derivatives Ux, Uy, Uxx, Uyy, and show that uxyUyx.(b) Show that u has a stationary point for y = 1. Determine the corresponding valueof x and the character of the stationary point.=

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Answered: A6. Let u(x, y) be the 2-variable…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 15E

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A6. Let u(x, y) be the 2-variable function u(x, y) = (x + 2)y — exp(x + y). - (a) Find the partial derivatives ux, Uy, Uxx, Uyy, and show that Uxy = Uyx. (b) Show that u has a stationary point for y = 1. Determine the corresponding value of x and the character of the stationary point.