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Unformatted text preview: z = f ( x, y ) at the point (1 , , 1). (b) (2 points) Find the linear approximation of f (-. 1 , 1 . 1). 3. (4 points) Let z = cos( x ) e y , with x = s 2-t 2 , y = st. Use the Chain Rule to nd z s and z t . 4. Consider the function f ( x, y ) = ln(3 x + 4 y 2 ). (a) (2 points) Find the gradient vector of f . (b) (2 points) Compute the directional derivative of f at the point (-1 , 1) in the direction of the vector h-12 , 5 i ....
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- Spring '05