Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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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