This test is closed book and closed notes. A (graphing) calculator is allowed for this test but cannot also be a communication device (i. e. , your cellphones or tablets are not calculators). Answer each question completely using exact values unless otherwise indicated. Show your work (legibly); answers without work and/or justi cations will not receive credit. Place your nal answer in the provided box. Each problem is worth 10 points for a total of 70 points. Do not begin this test until instructed to start: change the order of integration and then nd the exact value of. Answer: find the center of mass for the region of points with 1 6 x2 + y2 6 4 and y > 0 given that (x, y) = y. (recall: cos2 = 1. 2(cid:0)1 + cos(2 )(cid:1) and sin2 = 1. Answer: for the curve r(t) = (cid:0) 1.