8) Find the local maximum and minimum values and saddle points of the function. f(x,y)=(x² + y²) e saddle point Critical point(s) D(a,b) = fxfx-[f] f(a,b) Is it a Max/Min/Saddle? Find the Max/Min value or the (a,b) Use the optimization method to find the point(s) on the surface y² = x² + 2z² that are closest to the point (2,0,-1). Use the methods learned in our class, do not use Lagrange multipliers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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8)
Find the local maximum and minimum values and saddle points of the function.
ƒ(x, y) = (x² + y²) e¹
Critical point(s) D(a,b)=fafw-[f] f(a,b) Is it a Max/Min/Saddle?
(a,b)
Find the Max/Min value or the
saddle point
Use the optimization method to find the point(s) on the surface y² = x² +2z² that are closest to the point
(2,0,-1). Use the methods learned in our class, do not use Lagrange multipliers.
Transcribed Image Text:8) Find the local maximum and minimum values and saddle points of the function. ƒ(x, y) = (x² + y²) e¹ Critical point(s) D(a,b)=fafw-[f] f(a,b) Is it a Max/Min/Saddle? (a,b) Find the Max/Min value or the saddle point Use the optimization method to find the point(s) on the surface y² = x² +2z² that are closest to the point (2,0,-1). Use the methods learned in our class, do not use Lagrange multipliers.
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