MATH 241 Midterm: MATH241H_HERB-R_FALL2003_0101_MID_EXAM_2

• School: University of Maryland
• Department: Mathematics
• Course: MATH 241
• Professor: ALL

Document Summary

Math 241h - exam 3 - november 24, 2003. Evaluate the integral r r rw px2 + y2 dv where w is the solid region bounded by the paraboloids z = 1 + x2 + y2 and z = 9 x2 y2. In problems 2,3,and 4, evaluate the work integral rx path x. If appropriate, use a theorem. (i give no credit for setting up a work integral. F ds for the given vector eld f and directly which you are not able to evaluate, if you could have done the problem easily using a theorem. ) F(x, y) = ( x2y + sin x)i + (xy2 + ey)j and x(t) = (3 cos t, 3 sin t), 0 t 2 . F(x, y) = ex i + xy j and x(t) = (t, t2), 0 t 1.