MA 26100 Final: Fall 2015, Final

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31 Jan 2019
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General exam policies (1) students may not open the exam until instructed to do so. (2) students must obey the orders and requests by all proctors, Additionally, all violators will be reported to the o ce of the dean of students. I have read and understand the exam rules stated above: Problem 1: find the area of the triangle that has vertices at p (1, 2, 1), q(2, 3, 2), and r(0, 2, 3): 3, 2, 14, 14/2, 17/2. Problem 2: find r(1) if r (t) = 12ti + 12t2j + k and r(0) = j and r (0) = k: 2i + 2j 1. 2 k: 6i j, 2i 3j + k, 2i + k, 2i + j + 1. Problem 3: find the length of the curve r(t) = h2t, t2, 1: 7/2. 3 t3i, 0 t 1: 13/2, 9/2, 20/3, 7/3. Problem 4: if f (x, y) = x2y y2.

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