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Unformatted text preview: (b) the equation of the normal line at the point ( 3, 2, 1). 8) Given , f x y x y ( , ) = + 1 2 (a) find the rate of change of f at the point (1,1) in the direction of the vector r r r v i j = 4 3 (b) in which direction does f change most rapidly at (1,1)? (c) what is the maximum rate of change of f at (1,1)? (9) Find the local maximum and minimum values and saddle point(s) of the function . f x y x x y y ( , ) = + + 2 2 2 10) Given , f x y x y ( , ) = + 2 2 2 (a) use Lagrange multipliers to find the maximum and minimum values of f when x y 2 2 1 + = (b) find the absolute maximum and minimum values of f on the closed and bounded set . D x y x y = + ≤ {( , ) } 2 2 1...
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 Winter '08
 BRIGHAM
 Math, Derivative, minimum values, SecondOrder Partial Derivatives

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