Calculus 1 with FUNdamentals (Section 02)

Prof. Gareth Roberts

Homework Assignment #4

Due Tuesday, October 1, START of Class

Homework is due at the BEGINNING OF CLASS. There are two parts to this assignment, an online component using the program WebAssign, and a hand-written portion requiring solutions turned in on paper.

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 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 2.3, pp. 111 - 112
Problems: 18, 22, 30
Hint: On #18, multiply top and bottom by the conjugate sqrt(1+h) + 1. For #22, add the fractions. For #30, squeeze it!

Section 2.4, p. 121 - 123
Problems: 9, 15, 42, 43
Hint: For #42 and 43, first write the equation in the form f(x) = 0. Then evaluate f at each endpoint and show that the results have opposite signs. Now you're ready to apply IVT.

Section 2.5, pp. 132 - 135
Problems: 6, 10, 29