1. Exploration for absolute maximum and minimum. f(x,y) = x²-2xy +3y. Explore function f(x,y) on the border given by y = -x² when x belongs to the interval [-1, 2] a) find the equation of the function on the border, differentiate the function you found, and then determine critical points on the border (do not forget the endpoints) b) evaluate the function at all critical points to determine absolute maxima and minima.
1. Exploration for absolute maximum and minimum. f(x,y) = x²-2xy +3y. Explore function f(x,y) on the border given by y = -x² when x belongs to the interval [-1, 2] a) find the equation of the function on the border, differentiate the function you found, and then determine critical points on the border (do not forget the endpoints) b) evaluate the function at all critical points to determine absolute maxima and minima.
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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![1. Exploration for absolute maximum and minimum.
f(x,y) = x²-2xy +3y. Explore function f(x,y) on the border given by y = -x² when x
belongs to the interval [-1, 2]
a) find the equation of the function on the border, differentiate the function you found,
and then determine critical points on the border (do not forget the endpoints)
b) evaluate the function at all critical points to determine absolute maxima and minima.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2463f0f-3678-42b5-b501-e12d1ac8b7c6%2Ff53f4056-31f7-48d7-8a97-ce71ecece76f%2Fmmzqoas_processed.png&w=3840&q=75)
Transcribed Image Text:1. Exploration for absolute maximum and minimum.
f(x,y) = x²-2xy +3y. Explore function f(x,y) on the border given by y = -x² when x
belongs to the interval [-1, 2]
a) find the equation of the function on the border, differentiate the function you found,
and then determine critical points on the border (do not forget the endpoints)
b) evaluate the function at all critical points to determine absolute maxima and minima.
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