Calculus for the Social Sciences I (Sections 01 and 02)

Dr. Gareth Roberts

Homework Assignment #5

Due Thursday, October 11, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Single Variable Calculus, Concepts and Contexts 3rd ed., by Stewart, 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. Please staple your assignment.
Important: At the top of your homework, please list the names of any students or faculty who you worked with on the assignment.

Section 2.6, pp. 145 - 147
Problems:   3, 6a, 6b, 7, 9, 16, 20, 27
Note: Be sure to use the limit definition(s) of the derivative for problems #6, 7, 9, 20b and 27b.

Section 2.7, pp. 153 - 154
Problems:   3, 4, 13, 18, 27, 30, 32
Note: Be sure to use a limit definition of the derivative for problems #13 and 18. In this case, your answer will have "a" in it. Do the limit calculations treating "a" as a constant. For problems #27, 30 and 32, remember that the derivative gives a rate of change in amount of output per input.