Calculus 2 with FUNdamentals, MATH 134

Prof. Gareth Roberts

Homework Assignment #1

Due Friday, January 31, 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 5.1, pp. 268 - 271
Problems: 2, 14, 19
Hint: For #2, be sure to convert the velocities from km/hour to km/min.

Section 5.2, pp. 278 - 281
Problems: 10, 14, 44, 72
Hint: For #10, use linearity to split the integral into two parts; the first integral is straight-forward and the second can be done with a good graph (split the area into two pieces). For #72, draw a good graph of the integrand and split the area into two pieces.

Section 5.3, pp. 286 - 288
Problems: 52, 64, 77
Hint: For #77, begin with acceleration a(t) = -4 (negative because it is slowing down). Integrate once to find the velocity v(t); integrate twice to find the position function s(t). Use the given information to find the constants of integration.