MATH 317 Midterm: MATH 317 2006 Winter Test 1

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9 Jan 2019
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Be sure that this examination has 12 pages. Write your name on top of each page. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. Zc xy dx + yz dy + zx dz around the triangle with vertices (1, 0, 0), (0, 1, 0), and (0, 0, 1), oriented clockwise as seen from the point (1, 1, 1). Let s be the surface given by the equation x2 + z2 = sin2(y) lying between the planes y = 0 and y = . Let s be the part of the sphere x2 + y2 + z2 = 4 between the planes z = 1 and z = 0 oriented away from the origin. F = (ey + xz) i + (zy + tan(x))j + (z2. Let r(t) = cos3 t i + sin3 t j +