Multivariable Calculus

Homework Assignment #10

Due Monday, November 26, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to McCallum's 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.

Section 15.6
Problems:   2, 3, 6, 7, 15, 18

Hint: In problem 2, the base of the cylinder lies in the plane z = -1. The solid shown in problem 7 is an ice-cream cone. In problem 18, use cylindrical coordinates.

Section 16.1
Problems:   4, 5, 14, 18, 24, 29, 33

Hint: In problem 4, be sure to label your graph with the value of t at various points, just as was done in class. In problem 29, you need to recall how to find a normal vector to a surface. See the worksheet on tangent planes to new surfaces.

Section 16.2
Problem:   3, 7, 13, 16, 22, 24

Note: For problem 22, a particle is moving straight up and down whenever its velocity vector (tangent to the motion) points straight up and down (eg. it has no i component.) Similar ideas hold for horizontal motion.