Calculus for Social Sciences 1

Homework Assignment #12

Due Monday, Dec. 3rd, 3:00 pm

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Tan's book, 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.

Section 5.4
Problems:   3, 10, 17, 22, 23, 35, 39, 52

Section 5.5
Problems:   5, 8, 15, 23, 35, 43, 47, 50

Section 5.6
Problems:   3, 6, 9, 12, 17

Hint: For all of the word problems in Section 5.6 except #17, you should use the exponential model Q(t) = Q_0 e^(kt) where k is positive or negative depending upon whether you have growth or decay, respectively. The trick is to plug in all the information you know and then solve for the missing piece. For example, in problem #3a, you know Q_0 = 100, and Q(20) = 200 (it doubles every 20 minutes). This is enough information to solve for the growth constant k.

In problem #12, use Examples 3 and 4 in the text on pp. 428-429 for help.