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(a) f(x, y) = x²- xy + y²+9x-6y+ 10 (b) f(x, y) = (x² + y) ev/2 dues and saddle points of the function.

(a) f(x, y) = x²- xy + y²+9x-6y+ 10 (b) f(x, y) = (x² + y) ev/2 dues and saddle points of the function.

Calculus: Early Transcendentals
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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1. Find the local maximum and minimum values and saddle points of the function. (a) f(x, y) = x²- xy + y²+9x-6y+10 (b) f(x, y) = (x² + y) ey/2 2. Find the absolute maximum and minimum values of f(x, y) = 4xy² – x²y² – xy³ on the closed triangular region in the xy-plane with vertices (0,0), (0,6) and (6, (6,0).
Transcribed Image Text:1. Find the local maximum and minimum values and saddle points of the function. (a) f(x, y) = x²- xy + y²+9x-6y+10 (b) f(x, y) = (x² + y) ey/2 2. Find the absolute maximum and minimum values of f(x, y) = 4xy² – x²y² – xy³ on the closed triangular region in the xy-plane with vertices (0,0), (0,6) and (6, (6,0).
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