Calculus for Social Sciences II

Exam #3

Friday, April 27

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The second exam covers Sections 7.3-7.5 and Chapters 8 and Sections 8.1, 8.2.

You should go over the homework problems as well as your class notes. Many of the problems and questions we discuss IN CLASS and PROBLEMS ON QUIZZES are excellent examples of test questions. I have also listed some review problems from Chapters 7 and 8 below. Answers to even numbered problems are provided.

You may bring an 3x5 index card written on both sides to the exam.

You will be given a scientific calculator for the exam which does NOT have graphing capabilities so be prepared to answer questions without your personal calculator.

Cell phones and I-pods are not allowed during the exam. Please leave them in your room or put them away in your backpack (make sure cell phones are turned off).

Due to lack of class time left, there will be NO REVIEW on Wednesday. I will give an exam review hand-out as usual and hold extra office hours on Thursday.

Suggested review problems:

Section 7.3: # 12

Answer: P(t) = [(t^1.5)/3 + sqrt(2) - 1/3]^2

Chapter 7 Review, pp. 552 - 553: #6, 7, 8 12, 13

Answers to even numbered problems:

x(t) = -1 + K exp(t-(t^2)/2), K any constant.

y(x) = ln[4 exp(-ln{1+cos x} ) -1]

y(20) = 7.1 mg

Chapter 8 Review, pp. 632 - 633:

True-False: # 1, 2, 3, 14, 15, 16

Answers:

#2: this is a p-series with p = sin(1)= 0.01745

#14: Take a_n = n and b_n = -n

#16: Take a_n = -n

Exercises: # 1, 2, 3, 4, 5, 6, 8

Answers to even numbered problems:

#2: Converges to 0.

#4: divergent

#6: Converges to 0.

#8: Sequence converges to 2.

Also make sure go over all homework problems in Section 8.1 - 8.2, and UNDERSTAND the concepts.

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