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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 11. Let f(x,y)=2y^(2)-x(x-1)^(2). Find the critical points of f 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.
Transcribed Image Text:Problem 11. Let f(x,y)=2y^(2)-x(x-1)^(2). Find the critical points of f 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.
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