Unformatted text preview: , 2 , 0) to the cone deﬁned by z 2 = x 2 + y 2 . 4. Find the maximum and minimum values of f ( x,y,z ) = 3 x-y-3 z on the curve that is the intersection of the surfaces deﬁned by x + y-z = 0 and x 2 + 2 y 2 = 1. 5. Suppose that z = f ( x,y ), x = s + t and y = s-t . Show that z 2 x-z 2 y = z s · z t . 6. Suppose that z is deﬁned implicitly (as a function of x and y ) by z 3-3 xz + 3 xyz = 1. Find the partial derivatives ∂z ∂x and ∂z ∂y . When are they deﬁned? 1...
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This note was uploaded on 01/11/2012 for the course MATH 100 taught by Professor Loveys during the Fall '11 term at McGill.
- Fall '11