Consider the function f(x, y) = 3x-8xy+ 6y² . Find the maximum and minimum values of f in the region defined by the inequalities -1

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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Consider the function f(x, y) = 3x – 8xy + 6y².
Find the maximum and minimum values of f in the region defined by the inequalities -1 < x < 1,0 < y< 1 and where they occur.
The maximum value is 11
and it occurs for x =
-1
and y =
1
The minimum value is -3
and it occurs for x =
-1
and y = 0
Transcribed Image Text:Consider the function f(x, y) = 3x – 8xy + 6y². Find the maximum and minimum values of f in the region defined by the inequalities -1 < x < 1,0 < y< 1 and where they occur. The maximum value is 11 and it occurs for x = -1 and y = 1 The minimum value is -3 and it occurs for x = -1 and y = 0
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