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Unformatted text preview: xy 2x 2 yz , what is the direction of the greatest drop in temperature at the point (1,1,2)? 5 5. Find the maximum and minimum values of f ( x, y, z ) = x + 2 y + 3 z on the ellipse that is the intersection of the cylinder x 2 + y 2 = 2 and the plane y + z = 1. 6 6. Find the directional derivative of f ( x, y ) = ex cos y at (0 , π/ 3) in the direction toward the origin. 7 7. Find the equation of the tangent plane and the normal line to the surface x 2 + y 2 + 2 z 2 = 23 at (1,2,3). 8...
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 Fall '08
 DICKEY
 Vector Calculus

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