MATH 152 Midterm: MATH 152 TAMU 2009a Exam 3a
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Directions: the use of a calculator, laptop or computer is prohibited, in part 1 (problems 1-11), 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 12-16), 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) if t3(x) is the third degree taylor polynomial for f (x) = ln x at x = 1, then t3(2) = (a) (b) (c) (d) (e) 3: (4 pts) if we approximate f (x) = sin x with a thrid degree taylor polynomial at x = estimate the accuracy of the approximation sin x t3(x) for 0 x . , use taylor"s inequality to (a) |r3(x)| (b) |r3(x)| (c) |r3(x)| (d) |r3(x)| (e) |r3(x)| ( /3)4.
