MATH 231 Midterm: Math 231 Fall2014MidtermExam
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The use of a calculator, cell phone, or any other electronic device is not permitted in this examination. The use of notes of any kind is not permitted during this exam. You must show your work to receive full credit. Also be sure to box your nal answers for full credit. Long answer questions are worth 10 points, multiple choice are worth 5points. 3. (a) sketch the surface z = p1 x2 y2. (b) sketch the region bounded above by z = p1 x2 y2 and below by z + 1 = px2 + y2. 5: suppose the velocity of a ball is given by v(t) = h2, 4ti and its initial position is r(0) = h1, 2i. Then the ball"s position at time t = 1 is: (a) h2, 2i (b) 3 (c) h3, 0i (d) h1, 4i (e) none of the above.