Multivariable Calculus

Homework Assignment #1

Due Thursday, September 6, 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 11.1
Problems:   1, 3, 12, 17-20 all

Hint: For #20, try and answer the question by comparing g and h to the original function f. What physical properties about the string have changed? Why?

Section 11.2
Problems:   1, 7, 9, 10, 12, 13, 19, 20

Hint: For #10, first find the distance of a point (a,b,c) from the x-axis and from the yz-plane. Then try and interpret the equation you get upon setting these two quantities equal to each other. For #20, you are asked to find the intersection of two surfaces. This is just like finding the intersection of two curves in the plane (eg. Algebra). Take the same technique from the plane and generalize it to three dimensions.

Section 11.3
Problems:   1, 3, 5, 6, 8, 14