Unformatted text preview: x, y ) = (2 , 5) we have ( ∂z/∂x, ∂z/∂y ) = (10 ,1). Also suppose x = u 2 v and y = 3 u + uv . What is ∂z/∂u at the point ( u, v ) = (1 , 2)? 4. (20 points) Below, determine the limit or determine it does not exist (DNE). You must show some work to justify your conclusion. lim ( x,y ) → (0 , 0) ( x + y ) 2 x 2 + y 2 lim ( x,y ) → (0 , 0) sin( xy ) y 5. (25 points) Find the extreme values of the function f ( x, y ) = 3 x 2 + 2 y 24 y subject to the constraint x 2 + y 2 ≤ 9....
View
Full
Document
 Spring '08
 Wolfe
 Calculus, Derivative

Click to edit the document details