Unformatted text preview: f ( x,y ) = x 24 xy + 2 y 2 if x 2 + 2 y 2 ≤ 1. 7. Let z = f ( x,y ) = x 2 y 32 xy . Find the total di±erential dz and the tangent plane to f ( x,y ) at the point (1 , 3), and the approximate value of f (1 . 1 , 3 . 2) using either of these. 8. Determine the local extrema of f ( x,y ) = xy 2x 2 y + xy ....
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 Spring '08
 Beck
 Calculus, Derivative, Multivariable Calculus, Mathematical analysis, Chris Long

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