MTH 312 Final: MTH312 – F2011 Final (Solution)
Document Summary
Answers to f2011 exam (1 r2)r dr d +z /2. = /4z csc r=0 (1 r2)r dr d : z /4. =0 z 2 sin r=0: 0, zz. 13 (curl f) n ds = ic. 4 cos(2t) + (a) y(t) = sin(2t) . 2 (b) y = c1 cos x + c2 sin x + cot x cos x . Now write down equations for the two spheres. To nd the region in the xy-plane to integrate over, you"ll need to determine the curve of intersection of the two spheres and project it into the xy-plane. )
