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. Please list any students or faculty who you worked with on the assignment, including whether you attended the Calculus Workshop.
Problems: 1, 7, 8, 16, 17, 19, 20
Note: For problem #1, place the left end of the rod at x=0. Problem #16 is similar to the problem from class on the number of chips in a cookie, except here you take spherical shells rather than circular rings.
Problems: 1, 3, 5, 6, 7, 10
Hint: For problem #5, assume that r is the distance from the center of the satellite to the center of the earth. For problems #6 and #7, you have to calculate the work done by lifting the bucket as well as the work done by pulling the rope. For problem #10, use the fact that water weighs 62.4 lbs per cubic foot (density).