MATH 121 Study Guide - Midterm Guide: Centroid

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9 Jan 2019
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Show all your work; little or no credit will be given for a numerical answer without the correct accompanying work. If you need more space than the space provided, use the back of the previous page. Where boxes are provided for answers, put your nal answers in them. Calculator-ready form is acceptable for all numerical answers. Rules governing examinations: each candidate must be prepared to produce, upon request, a. Put your answer in the box provided and show your work. Simplify your answers as much as possible. (a) evaluate z x ln x dx. Answer: (b) evaluate z x2 (x3 + 1)101 dx. (c) evaluate z cos3 x sin4 x dx. Page 3 of 14 pages (d) evaluate z 4 x2 dx. Answer: (e) consider the trapezoid rule for making numerical approximations to z b f (x) dx. a. The error for the trapezoid rule satis es |et| . , where |f (x)| k for a x b.