Question 1 two variables. Given the function of f(x, y) = −9x² – 2xy – 8y² – 3 - a) Find all critical points of the function. a) Classify all critical points of the function. b) Use Lagrange Multipliers to find the maximum and minimum value(s) of the function subject to the constraint 2x+y 6= 0. -

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Question 1
two variables.
Given the function of
2
f(x, y) = −9x² – 2xy — 8y² – 3
Find all critical points of the
a)
function.
a)
Classify all critical points of the
function.
b)
Use Lagrange Multipliers to find
the maximum and minimum value(s) of the
function subject to the constraint
2x+y 6= 0.
—
Transcribed Image Text:Question 1 two variables. Given the function of 2 f(x, y) = −9x² – 2xy — 8y² – 3 Find all critical points of the a) function. a) Classify all critical points of the function. b) Use Lagrange Multipliers to find the maximum and minimum value(s) of the function subject to the constraint 2x+y 6= 0. —
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