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Unformatted text preview: (2) (d) Is there a function such that ? ( Explain.) f F f → = ∇ (14) 5. Find an equation of the tangent plane at the point to the parametric ( , , ) ( , , ) x y z = 4 4 2 surface given by , , . S r u v v uv u → =< ( , ) , , 2 3 ≤ ≤ u ≤ ≤ 3 3 v (12) 6. Set up, but do NOT evaluate , an iterated integral to find the area of the part of the surface that lies above the triangle with vertices , , . z x y = + 2 2 1999 ( , ) 1 0 ( , ) 11 ( , ) 2 0 (14) 7. Set up, but do NOT evaluate , the surface integral to find the flux, , of the vector F dS S → → ∫∫ . field across , where is given by the parametric equation F x y z y i x j z k → → → → = + + ( , , ) 2 S S , , with upward orientation. r u v u v u v v → =< ( , ) cos , sin , 1 ≤ ≤ u ≤ ≤ v p...
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This note was uploaded on 01/24/2011 for the course MATH 22 taught by Professor Brigham during the Winter '08 term at Missouri S&T.
 Winter '08
 BRIGHAM
 Math

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