MATH 136-04, Advanced Placement Calculus

Homework Assignment #8

Due Wednesday, November 8, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Single Variable Calculus, Concepts and Contexts 3rd ed., 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 5.7, pp. 404 - 405
Problems:   9, 11, 14, 18, 20, 21

Hint: In problem #14, at some point you should use the identity sin^2 theta = 1 - cos^2 theta.

Section 5.10, pp. 431 - 432
Problems:   5, 8, 14, 15, 23, 24, 30, 55

Section 6.1, pp. 446 - 447
Problems:   1, 4, 10, 11

Section 6.2, pp. 457 - 460
Problems:   1, 3, 5, 13, 14, 24, 26

Note: For problems #1, 3 and 5, you do not need to sketch the solid. For problem #26, try finding the equation of the line describing the outer edge of the cone. Choose a good location for the origin.