Mathematics

Answer Sheet

Instructions:

This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator.

Record your answers and work in this document.

There are 25 problems.

Problems #1-12 are multiple choice. Record your choice for each problem.

Problems #13-15 are short answer. Record your answer for each problem.

Problems #16-25 are short answer with work required when directed. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages.

MULTIPLE CHOICE. Record your answer choices.

1. 7.

2. 8.

3. 9.

4. 10.

5. 11.

6. 12.

SHORT ANSWER. Record your answers below.

13. (a)

(b)

(c)

(d)

14. (a)

(b)

(c)

15. (a)

(b)

(c)

SHORT ANSWER with Work Shown. Record your answers and work.

Problem Number Solution
16 Answers:

(a)

(b)

(c)

Work for (a), (b), and (c):

17 Answer:

Work:

18 Answer:

Work:

19 Answers:

(a)

(b)

(c)

Work for (a) and (b):

20 Answer:

Work:

21 Answer:

Work:

22 Answer:

Work:

23 Answers:

(a)

(b)

(c)

(d)

Work for (b), (c), and (d):

24 Answer:

Work:

25 Answers:

(a)

(b) Region I:

Region II:

Region III:

Region IV:

Work:

1

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