MATH 215 Final: finalw09

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31 Jan 2019
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This exam contains eleven problems, worth a total of 100 points. Your answers for these seven questions are to be entered in the table below. Problem zero has been done as an example. No partial credit will be given for the rst seven problems, so double check your work. No credit will be given for unsupported answers. On the other hand, you may earn up to two bonus points for submitting an exam with legible, neat, organized work. Remembering to (legibly) write your name at the top of the exam is worth an additional bonus point. The use of books, calculators, cell phones, computers, notes, cheat sheets, and all similar aids is strictly prohibited. 1 + cos(2x: cos2(x) , the formulae for spherical coordinates are. D: all of the above. d dx csc(x) = csc(x) cot(x). d dt sec(t) = sec(t) tan(t). d d tan( ) = sec2( ). d dr cot(r) = csc2(r).

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