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Unformatted text preview: ) at P along these directions, where f ( x, y ) = x 2 e 3 y , and P = (1 , 0) . (b) (5 points) Find the directional derivative o± f ( x, y ) above at the point P in the direction given by v = h1 , 1 i . 3. (a) (5 points) Find the tangent plane approximation of f ( x, y ) = x cos( πy/ 2)y 2 e x at the point (0 ,1). (b) (5 points) Use the linear approximation computed above to approximate the value of f (0 . 1 ,. 9). 4. (10 points) Find every local and absolute extrema of f ( x, y ) = y 2 + 3 x 2 + 2 x on the unit disk x 2 + y 2 ≤ 1, and indicate which ones are the absolute extrema. In the case of the interior stationary points, decide whether they are local maximum, minimum of saddle points....
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This note was uploaded on 04/30/2008 for the course MATH 20C taught by Professor Helton during the Spring '08 term at UCSD.
 Spring '08
 Helton
 Math

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