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Unformatted text preview: f at (3 , 4) to approximate f (2 . 8 , 4 . 1). 3. (4 points) The height of a cylinder is increasing at the rate of 3 cm sec , while its radius is decreasing at a rate of 2 . 5 cm sec . At what rate is the volume of the cylinder changing when the radius is 4 cm and the height is 5 cm? 4. Consider the function f ( x, y ) = cos( xy ). (a) (2 points) Find the gradient vector of f . (b) (2 points) Compute the directional derivative of f at the point (0 , 1) in the direction of the maximum rate of increase of f ....
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 Spring '05
 Overholser
 Math, Derivative, Gradient

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