MATH 262 Final: MATH262 Final Exam 2009 Fall
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Dec 18, 09, 9:00 -12:00noon: determine the center, radius and interval of convergence (including end points) of (a) . 001): find the curvature of the twisted cubic r ( )t (0, 0, 0). 3 k at a general point and at: let l(x, y) denote the local linear approximation to f x y. 2 y x for f x y: show that the equations cos uz v. 2 yz x v y yxe cos u. 1 can be solved for u and v as functions of x, y, z near point p0 where (x,y,z) = (2,0,1) and (u,v) = (1,0). Find also : find and classify the critical points of at (x,y,z) = (2,0,1). 1 y x f x y z xyz. 2 y x on the sphere: find the maximum and minimum values of. = , show that where x s t. )2 where r is the region in the upper half-plane bounded y da.