Problem 11. Let f(x,y)=2y^{2)-x(x-1)^(2). Find the critical points off and identify them as maximum, minimum or saddle points, or else degenerate critical points. Sketch the graph of f (or use Maple) in 3-space. Draw the level curves off in the xy-plane. Use Hessian to solve the problem and draw the graph off as well as the level curves off in the xy plane.
Problem 11. Let f(x,y)=2y^{2)-x(x-1)^(2). Find the critical points off and identify them as maximum, minimum or saddle points, or else degenerate critical points. Sketch the graph of f (or use Maple) in 3-space. Draw the level curves off in the xy-plane. Use Hessian to solve the problem and draw the graph off as well as the level curves off in the xy plane.
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 47CR
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