Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 33PS
Question
100%
Assignment 10: Problem 2
Transcribed Image Text:1. Find the absolute maximum of f(x, y) on the region D.
Answer:
2. Find the absolute minimum of f(x, y) on the region D.
Answer:
Transcribed Image Text:Suppose f(x, y) = x² + y² + x²y +6 and D = {(x, y) : |x| ≤ 1, |y| ≤ 1}. Answer the following.
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Step 1: Define the problem
VIEWStep 2: Determine the first order partial derivatives of function f(x,y)
VIEWStep 3: Determine the critical points
VIEWStep 4: Draw the graph of region D
VIEWStep 5: Determine the all critical points of function over the domain D
VIEWStep 6: Continuation
VIEWStep 7: Determine the absolute maximum and minimum value of function over the domain D
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