Calculus 2 with FUNdamentals (Section 02)

Prof. Gareth Roberts

Homework Assignment #3

Due Wednesday, February 12, 8:00 pm

There are two parts to this assignment, an online component using the program WebAssign, and a hand-written portion that should be turned in to Meg Norton (TA) at the START of the Wednesday evening review session.

The instructions on WebAssign may be different than those in the textbook. (You can ignore these differences.) It is recommended that you keep any hand-written work used to complete these problems so that you can learn from it later on and have something to refer to should you require extra help. It is expected that when you login to WebAssign to complete your homework, you will be working on your own.

Note: Some of the problems on WebAssign are randomized so that they will have different numbers (shown in red) than those in the book. This helps insure students are doing their own work and is a nice way to practice the same type of problem before an exam.

The problems to be turned in by hand are indicated below. All problem numbers refer to Single Variable Calculus, Concepts and Contexts 4th ed., by Stewart. You should write up your solutions neatly, making sure to SHOW ALL YOUR WORK. Be sure to read the directions to each problem carefully. You are encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.

Important: At the top of your written homework, please list the names of any students or faculty who you worked with on the assignment.

Section 5.5, pp. 381 - 382
Problems: 14, 22, 47, 59

Hints: For problem #59, distribute the (x+3) and rewrite the problem as two integrals. Then, one integral can be done with a u-sub, while the other should be evaluated using a well-known area formula.

Section 5.6, pp. 387 - 389
Problems: 10, 16, 25

Hint: For problem #25, use the substitution u = $\sqrt{x}$ and rewrite dx in terms of u and du. The new integral in the u variables will be one you can do using integration by parts.