. Let h(x, y) = x*-2xy²+2y²+7x? ) Find all critical points of h and at each critical point, determine whether h has a relative aximum, relative minimum, or saddle point. ) Suppose further that x = e"- sin(uv) and y = 2v + cos v, find dh/dv at u = 2 and v = 0. %3D

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 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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23:15 b
. Let h(x, y) = x*-2xy²+2y²+7x?
) Find all critical points of h and at each critical point, determine whether h has a relative
aximum, relative minimum, or saddle point.
) Suppose further that x = e"- sin(uv) and y = 2v + cos v, find dh/dv at u = 2 and v = 0.
Transcribed Image Text:23:15 b . Let h(x, y) = x*-2xy²+2y²+7x? ) Find all critical points of h and at each critical point, determine whether h has a relative aximum, relative minimum, or saddle point. ) Suppose further that x = e"- sin(uv) and y = 2v + cos v, find dh/dv at u = 2 and v = 0.
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