MATH 350 Final: MATH 350 Amherst S15M350Final

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Read this first: this is a closed-book examination. No books, notes, cell phones, communication devices of any sort, webpages, or other aids are permitted: calculators are allowed for problem 10 only , please give an exact answer when possible. The answer cos(22 ) = . 92718 is ne, while cos(45 ) = . 707 will not get full credit: please read each question carefully. Show all work clearly in the space provided. Final exam: [35 points] compute the following derivatives. Do not simplify. (a) (b) (c) (d) (e) d d d sec (cid:19) = dx(cid:18)x3 cos(x + x2)(cid:19) = d (cid:18) e 2 dx(cid:18)z x. 4 + tan t dt(cid:19) = dx(cid:16)eln sin x + e2 ln 2(cid:17) = dx(cid:18) 10x(1 + x)3. 1 + ln x (cid:19) = d d. 0: [35 points] compute the following integrals. e2x dx = ln 2 (cid:0)ex(cid:1)2.