MATH 142 Midterm: MATH142 South Carolina 91E2P1

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15 Feb 2019
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Instructions: (1) to receive credit, you must work in a logical fashion, show all your work, and when applicable put your answer in the box (or on the line) provided. (2) during this test, do not leave your seat. Raise your hand if you have a question. When you nish, turn your exam over, put your pencil down, and raise your hand. (3) no formula sheets allowed. No calculators allowed. (4) the mark box indicates the problems along with their points. R4(x) = where z is between and b) Show your work on the back of this page. 2: appoximate cos 47 within 5 decimal places of accuracy. Use taylor"s formula for an appropriate function y = f (x) about an appropriate point a (with a 6= 0 ). Use the appropriate n th-degree taylor polynomial pn(x) with the smallest n for which the taylor remainder guarantees that the error is within the desired accuracy.