5. For a certain differentiable function F of two variables z and y, its partial derivatives are Fx(x,y) = r²-y-4 and Fy(x,y) = -x+y-2. Find each of the critical points of F, and classify each as a local maximum, local minimum, or a saddle point. 6. Determine all critical points of 1 T(x, y) = 48+ 3xy - r²y - zy² and classify each as a local maximum, local minimum, or saddle point.
5. For a certain differentiable function F of two variables z and y, its partial derivatives are Fx(x,y) = r²-y-4 and Fy(x,y) = -x+y-2. Find each of the critical points of F, and classify each as a local maximum, local minimum, or a saddle point. 6. Determine all critical points of 1 T(x, y) = 48+ 3xy - r²y - zy² and classify each as a local maximum, local minimum, or saddle point.
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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