Let f(x, y)=3x²y-2y² − 3x² -8y +2 i. Find the stationary points off ii. For each stationary point P found in (i), determine whether f has a local maximum, a local minimum, or a saddle point at P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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7.
a.
Let f(x,y)=3x²y-2y²
− 3x² −8y+2
i. Find the stationary points of f
ii. For each stationary point P found in (i), determine whether ƒ has a local maximum, a
local minimum, or a saddle point at P.
b. Determine the maximum value of f(x, y, z)=xyz subject to the constraint
x² +9y² + 4z² = 36
Transcribed Image Text:7. a. Let f(x,y)=3x²y-2y² − 3x² −8y+2 i. Find the stationary points of f ii. For each stationary point P found in (i), determine whether ƒ has a local maximum, a local minimum, or a saddle point at P. b. Determine the maximum value of f(x, y, z)=xyz subject to the constraint x² +9y² + 4z² = 36
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