problem set 6 math 210

problem set 6 math 210 - f x y = x 2 y 2 xy 2 5 Find the...

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MATH 210 Quiz 6 Problems to study 1. Find and classify the critical points of the function f ( x, y ) = x 2 - y 2 - 2 x + 2 y . 2. Find the minimum and the maximum of the function f ( x, y ) = x 2 + 2 y 2 - 2 xy - y over the rectangle [0 , 2] × [0 , 2]. 3. Find the minimum and maximum of the function f ( x, y ) = x 2 + 3 y 2 on the disk { ( x, y ) : x 2 + y 2 1 } . 4. Find and classify the critical points of the function
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Unformatted text preview: f ( x, y ) = x 2 + y 2 + xy 2 . 5. Find the minimum and maximum of the function f ( x, y ) = x + sin y on the rectangle [0 , 1] × [0 , π ]. 6. Find and classify the criticaly points of the function f ( x, y ) = x 4 + y 4 + 4 xy ....
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