3. Find the local extremes using the second derivative criterion and the Hessian. a. f(x,y)=-4y²+x² + 2xy + 4x-6y+4 b. f(x,y) = 4x²+9y2+8x-36y+24 c. f(x,y) =(3x-2)²+(y-4)2 d. f(x,y) = x²-2xy + 4y²-4x-2y +24

3. Find the local extremes using the second derivative criterion and the Hessian. a. f(x,y)=-4y²+x² + 2xy + 4x-6y+4 b. f(x,y) = 4x²+9y2+8x-36y+24 c. f(x,y) =(3x-2)²+(y-4)2 d. f(x,y) = x²-2xy + 4y²-4x-2y +24

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.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 28E

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3. Find the local extremes using the second derivative criterion and the
Hessian.
a. f(x,y)=-4y²+x² + 2xy + 4x-6y+4
b. f(x,y) = 4x²+9y2+8x-36y+24
c. f(x,y) =(3x-2)²+(y-4)2
d. f(x,y) = x²-2xy + 4y²-4x-2y +24

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