MATH 141 Final: MATH141 South Carolina Final2
Document Summary
Final examination (version 2) - 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. All questions count equally. (1) give the de nition of the derivative of a function f (x) at the point x = a. What does it have to do with the chain rule for integrals? (3) (do ch. 2. 8, 8. ) (4) di erentiate g(t) = t3 cos t. (5) di erentiate f (x) = ln(xex). (6) evaluate r pi/4. 1+cos2 cos2 d . (7) evaluate r (ln x)2 x dx. (8) graph f (x) = e x2. Another boat has been heading due east at 15 km/h and reaches the same dock at 3:00 pm.
