Calculus 2 with FUNdamentals, MATH 134

Prof. Gareth Roberts

Homework Assignment #5

Due Thursday, March 12, start of class

There are two parts to this assignment, an online component using the program WebAssign, and a hand-written portion that should be turned at the START of class.

The instructions on WebAssign may be different than those given for the corresponding problem 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.

The problems to be turned in by hand are indicated below. All problem numbers refer to Calculus: Single Variable (Early Transcendentals) 3rd ed., by Rogawski and Adams. Unless stated otherwise, you should do all parts of a problem (e.g., (a), (b), (c), etc.). You should write up your solutions neatly, making sure to SHOW ALL YOUR WORK. Please staple multiple pages together. 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 student who you worked with on the assignment.

Section 7.1, pp. 377 - 379
Problems: 16, 20, 48
Hint: For #16, you will need to do integration by parts twice and then solve for the integral (call it I, derive an equation for I, and then solve for I).

Section 7.2, pp. 384 - 386
Problems: 6, 7, 52

Section 7.3, pp. 391 - 392
Problems: 4, 16
Hint: For #16, use the substitution t = 4 sin θ .