MATH 101 Study Guide - Midterm Guide: Gien, Mars 3, Alate
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Be sure that this examination has 13 pages including this cover. Integral calculus with applications to physical sciences and engineering. Full marks will be awarded for a correct answer placed in the box. In each of the questions below, at most 1 mark will be awarded for an incorrect answer. The graph below applies to both parts (a) and (b). y. [3] use the trapezoidal rule, with n = 4, to estimate the area under the graph between x = 2 and x = 6. [3] use simpson"s rule, with n = 4, to estimate the area under the graph between x = 2 and x = 6. (c) In each of the questions below, at most 1 mark will be awarded for an incorrect answer. (a) [3] consider the sequence (cid:31)( 1)n sin(cid:30) 1 n(cid:29)(cid:28). State whether this sequence converges or diverges, and if it converges give its limit. [3] find the sum of the series (cid:27)n=2.