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Unformatted text preview: g ( x, y ), g (1 , 2) = 4 , g x (1 , 2) =3 , g y (1 , 2) = 5 . (a) ±ind the local linearization of g near x = 1 and y = 2. (b) Approximate the value of g (1 . 02 , 2 . 03). 3. (4 points) Find a vector that is perpendicular to the vectors 4→ i + 3→ j +→ k and 4→ i + 6→ j +→ k . 4. (6 points) Let f ( x, y ) = x 2 y 5 . At the point (1 , 2): (a) Find a vector in the direction of maximum rate of change. (b) Find a vector in the direction of minimum rate of change. (c) Find a vector in a direction in which the rate of change is zero....
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This note was uploaded on 11/03/2008 for the course MATH MATH 10C taught by Professor Overholser during the Spring '05 term at UCSD.
 Spring '05
 Overholser
 Math

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