MATH 141 Final: MATH141 South Carolina Final3
Document Summary
Final examination (version 3) - math 141, frank thorne (thornef@mailbox. sc. edu) Please work without books, notes, calculators, or any assistance from others. If you have any questions, feel free to ask me. Please do your work on separate paper; you should staple this sheet to your work (put this on top) and turn in everything together. Explain thoroughly and draw a picture. (2) what does the rst derivative tell you about the shape of a graph? (3) (do ch. 2. 8, 7. ) (4) find dy dx if y = sin2x tan4 x (x2+1)2 (hint: you might want to use logarithmic di erentiation. ) (5) find dy d if y = tan2(sin ). (6) evaluate r /3. 0 sin +sin tan2 sec2 d . (7) evaluate r x2(x3 + 5)9dx. (8) graph f (x) = x + cos x. Sketch the region, the solid, and a typical slice, and compute the volume of the region. (11) is the integral r 4.
