Find the absolute maximum and minimum of the function f(x,y) = x^2 + y^2 subject to the constraint x^4 + y^4 = 81. as usual, ignore unneeded answer blanks, and list points in lexicographic order.

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asked May 22, 2019 28.0k views

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Find the absolute maximum and minimum of the function f(x,y) = x^2 + y^2 subject to the constraint x^4 + y^4 = 81. as usual, ignore unneeded answer blanks, and list points in lexicographic order.

Mathematics
college

Levon asked

by Levon

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x^4+y^4=81

there are 2 solutions

x=0 x=3
y=3 or y=0

f(x,y)=3^2+0^2=9 is a constant who has the graph a line || Ox

Agrath answered May 27, 2019

by Agrath

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