Multivariable Calculus, MA 241-02

Homework Assignment #1

Due Wednesday, Jan. 26

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to McCallum, Hughes-Hallett, et al., 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 12.1
Problems:   2, 3, 4, 8, 13, 14, 15, 18, 22, 24, 25, 27, 28, 29, 31

Hint/Note: For #28, find the distance of a point (x,y,z) from the x-axis and from the yz-plane. Try and interpret the equation you obtain upon setting these two quantities equal to each other. Be sure to show all work for your answers.

Section 12.2
Problems:   2, 3, 6, 7, 8, 9, 10, 11, 15, 16, 20

Hint: For problem #16, its all about cross sections. It may also be useful to consider a function for large x and y-values. Be sure to explain your answers (briefly) with matching questions.