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Unformatted text preview: Write the names of all the people you consulted or with whom you collaborated and the resources you used. Problem 1. (Thursday, 4 points) Suppose that g ( x, y ) = c a constant and w = f ( x, y, z ). Which of the following makes sense as the derivative w/x ? (If so, compute it in terms of the formal derivatives f x , f y , f , g , and g . If not, explain why not.) z x y w w w i) x ii) x iii) x x y z Problem 2. (Thursday, 4 points: 2+2) a) Suppose that t = sin( x + y ) and w = x 3 yt . Find ( w/t ) x . b) Consider the curve of points ( x, y, z ) satisfying x 5 + yz = 3 and xy 2 + yz 2 + zx 2 = 7. Use the method of total dierentials to nd dx/dy at ( x, y, z ) = (1 , 1 , 2). 1...
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- Spring '08
- Multivariable Calculus