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Unformatted text preview: 9 x 2 . 4. Evaluate the limit lim ( x,y ) (4 , 1) x 24 xy 4 x2 y 2 , or show that it doesnt exist. 5. Consider the function f ( x,y ) = x 23 y 2 . (a) Calculate f x and f y . (b) Find the rate of maximum increase when x = 3, y = 2. (c) Sketch the level curve at height z = 4. Find the slope dy dx of the tangent line to this level curve at ( x,y ) = (4 , 2). 6. Find the linear approximation for p (3 . 06) 2 + (3 . 92) 2 . 7. Find the critical points of f ( x,y ) = 3 y 22 y 33 x 2 + 6 xy , and classify each one as a maximum, minimum or saddle point....
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 Fall '10
 MalabikaPramanik
 Math, Calculus

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