Given a function f(x, y) =x² +y° +3x² – 18y² +81y +5 The function has four critical points in which one of them is a saddle point at (0,3). Find three other critical points for the function and classify them as a maximum, a minimum, or a saddle point.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given a function
f (x. y) = x' +y° +3x² – 18y² +81y+5
-
The function has four critical points in which one of them is a saddle point at (0,3). Find three
other critical points for the function and classify them as a maximum, a minimum, or a saddle
point.
Transcribed Image Text:Given a function f (x. y) = x' +y° +3x² – 18y² +81y+5 - The function has four critical points in which one of them is a saddle point at (0,3). Find three other critical points for the function and classify them as a maximum, a minimum, or a saddle point.
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