Question

Find the minimum and maximum values of the function f(x,y)=x2+y2f(x,y)=x2+y2 subject to the given constraint x4+y4=2x4+y4=2.

(The minimum is not not zero, DNE, or NONE, I have tried all of those)

Answer #1

Find the minimum and maximum values of the function f(x,y)=x2+y2
subject to the constraint x4+y4=2592 Use the Lagrange equations

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Please fill in the blanks

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Thank you!

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x2-8x+y2-4y=0.
The minimum value of x2+y2 is (?)
The maximum value of x2+y2 is (?)

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