MATH23 Homework 7 - Homework#7 Math 23 Spring 2015 Due...

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Homework #7 Math 23, Spring 2015 Due Thursday, March 26 or Friday, March 27 in class. 1. Find the maximum value of f ( x, y, z ) = 6 x + 8 y - 2 z on the sphere x 2 + y 2 + z 2 = 26. 2. Find the point or points on the ellipsoid x 2 + y 2 4 + z 2 = 2 closest to the point (1 , 0 , 0). 3. Compute RR D ( e y + 1) dA , where D is the solid triangle with vertices (0 , 0), (1 , 2), and (0 , 2).

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