MTH 234 Study Guide - Midterm Guide: Proctor, Cylindrical Coordinate System, Iterated Integral
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No partial credit available: (5 points) write the spherical equation, = cos , in rectangular coordinates, (10 points) convert the integral. 0 to an equivalent integral in cylindrical coordinates. 2 = r2 = z2 = dz dr d . 0 1 y sin( x2) dx dy: (12 points) evaluate the integral below. dy dx. C (2 + 2xyez) dx + x2ez dy + x2yez dz. E z x2 + z2 dv: (10 points) use green"s theorem to evaluate the line integral c. Include enough steps for the grader to be able to follow your work. Include words to clarify your reasoning: do rst all of the problems you know how to do immediately. Do not spend too much time on any particular problem. I have read and understand the above instructions: November 23, 2015: (5 points) let f = (cid:10)x2, xy, 3z(cid:11).
