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Unformatted text preview: ( , , ) 1 2 1 (2) (b) does this tangent plane pass through the origin? Give your reasoning. 8) For , f x y z xyz ( , , ) sin( ) = (8) (a) find the directional derivative of f at (1,1,0) in the direction of D f u r r v k = 99 (4) (b) what is the maximum rate of change of f at (1,1,0) and show that it has the same direction as the vector . r v (16) 9) Find the local maximum and minimum values and saddle point(s) of the function . f x y x xy y ( , ) = - + 3 3 6 8 (12) 10) Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its all edges is a constant, say c....
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- Winter '08