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Unformatted text preview: spaces have been provided, but you must show your work to indicate why you lled them in the way you did. f ( x,y ) = xy-5 y 2 . z = x + y + x + y 1 == 2 = 8. Find the directional derivative of the function g ( x,y,z ) = xye z at the point P(2,4,0) in the direction from P(2,4,0) to Q(0,0,0). Find f (2 , 4 , 0) and the maximum value of directional value. 9. Find the local maximum and minimum values and the saddle points of the function f ( x,y ) = x 3-6 xy + 8 y 3 . 10. Use the Lagrange multipliers to nd the indicated Extrema value of f ( x,y ) = x 2-y 2 subject to the constraint x-2 y + 6 = 0....
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- Winter '08