3:54 Thu, Apr 25 AM. < Title 1. (5 pts) Find the absolute extrema of f(x, y) = y²+xy-r² on the domain 0≤x≤2, 0≤ y ≤2. Fx F [y²+xy-x]= -2x+y=0→y=2x дх Fy= [y²+xy-x²] = 2y+x=0 → y=-- Boundary Points & critical pt: F[0,0]= 0 F(2,0]= 2)=-4 F[62] 2 4 F [2,2]= 4+4-4=4 Absolute Min F(230)=-4 Absolute Max F(2,2)=4, F(0,2)=y X=0 (0,05 Уго

3:54 Thu, Apr 25 AM. < Title 1. (5 pts) Find the absolute extrema of f(x, y) = y²+xy-r² on the domain 0≤x≤2, 0≤ y ≤2. Fx F [y²+xy-x]= -2x+y=0→y=2x дх Fy= [y²+xy-x²] = 2y+x=0 → y=-- Boundary Points & critical pt: F[0,0]= 0 F(2,0]= 2)=-4 F[62] 2 4 F [2,2]= 4+4-4=4 Absolute Min F(230)=-4 Absolute Max F(2,2)=4, F(0,2)=y X=0 (0,05 Уго

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 33E

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