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Unformatted text preview: ..[15 points] Find the surface area of the part of the paraboloid z = 4-x 2-y 2 which lies above the plane z = 2 and is contained in the rst octant [ie. x 0, y 0, and z 0 ]. Q4]. ..[15 points] Use the method of Lagrange Multipliers to nd the maximum and minimum values of the function f ( x,y,z ) = xyz on the sphere x 2 + y 2 + z 2 = 12....
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This note was uploaded on 01/12/2010 for the course MATH 241 taught by Professor Teleman,c during the Winter '08 term at University of California, Berkeley.
- Winter '08