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Unformatted text preview: ..[15 points] Compute the gradient f for the function f ( x,y,z ) = ye-x 2 sin z ind the direction in which f is increasing most rapidly at the point (0 , 1 ,/ 3). What is the maximum rate of change of f at the point (0 , 1 ,/ 3)? ind an equation for the tangent plane to the level surface of f at the point (0 , 1 ,/ 3). Q5]. ..[10 points] ind and classify the critical points of the function f ( x,y ) = 2 x 3-6 xy-3 y 2...
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- Winter '08