AP Calculus, Math 136-01

Homework Assignment #9

Due Wednesday, November 17, START of Class


Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the Hughes-Hallett, Gleason, McCallum, et al. book, the required text for the course. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.
Important: Please list the names of any students or faculty who you worked with on the assignment.

Section 9.4, pp. 428
Problems:   5, 8, 11, 14, 16, 20, 21, 22, 23

Section 10.1, pp. 440 - 441
Problems:   2, 3, 11, 14, 15, 18, 19, 24, 25, 26

Section 10.2, pp. 445 - 446
Problems:   2, 9, 10, 21, 27, 28, 29, 33, 34, 36

Hints: For problem #21a, give the first four terms of the series. For problem #21b, the series for ln(1+x) is given in #15. For problem #21c, note that you found the interval of convergence for the series for ln(1+x) in #22, Section 9.4.
For problems #27, 28, 29, 33 and 34, try and locate the pattern in the series and then look up the correct formula (use either your class notes or the textbook --- #12-19 give some useful examples). The functions which generate these series are straight-forward.