MATH 151 Midterm: MATH 151 TAMU Y2008 2008c Exam 2a

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31 Jan 2019
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Directions: the use of a calculator, laptop or computer is prohibited, in part 1 (problems 1-10), mark the correct choice on your scantron using a no. For your own records, also record your choices on your exam: in part 2 (problems 11-16), present your solutions in the space provided. Show all your work neatly and concisely and clearly indicate your nal answer. An aggie does not lie, cheat or steal, or tolerate those who do. Part i: multiple choice: (4 pts) in order to solve the equation x5 2x + 5 = 0, we apply newton"s method with an initial guess x1 = 1. What value does newton"s method give for x2, the second approximation? (a) (b) 3 (d) (e) the limit does not exist. 2: (4 pts) find the tangent vector of unit length for r(t) = (cid:10)e2t, t cos t(cid:11) at t = 0. (a) (cid:28) 1. 2 (b) h2, 1i (c) h1, 0i (d) (cid:28) 2.