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Differential & Integral Calculus I

*Students should get the above information from their instructor during class time. The instructor is the person to contact should there be any questions about the course.

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The term work contributes at least 20% to the final grade. Therefore active participation in classes and continuous work on the course material

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If the last math course you took was at the high school level (Quebec), and more than five years have passed since, you should probably register for Math 200. If you are still unsure of your level, read on.

A self-administered test to help you decide between Math 201 and Math 203 follows. Give yourself about 30 minutes to complete the test. Be honest with yourself, since registering in the wrong course may cost you money and result in a poor grade. Remember that all university-level courses usually demand quite a bit of your time. Students in Math 203 will find they will not have time once the course begins to review material that they are expected to know before they enter the course. Scoring: 10 or less = Math 201; 11-14 = see an advisor; 15 or better = Math 203. Answers are on the last page.

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1) What is the equation, in

6 5

b) -

5 6

c) 0 d)

5 6

e)

6 5

3)

7 2 ,- 3 2

⎛ ⎝ �� ⎞ ⎠ �� ,

7 2 , 3 2

⎛ ⎝ �� ⎞ ⎠ �� ,

c)

1 2 ,- 1 2

⎛ ⎝ �� ⎞ ⎠ �� ,

d)

1 2 , 1 2

⎛ ⎝ �� ⎞ ⎠ �� ,

e)

1 2 ,- 1 2

⎛ ⎝ �� ⎞ ⎠ �� ,

5) What is the equation of the line having a slope of 0 and passing t a)

1 6

6) Factor: 2

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9) Solve 3

-10 �� 101

3

b)

-5 �� 37

6

c)

5 �� 37 6

d)

10 �� 101 9

e)

10 �� 101 3

10) The graph of the parabola

2 = 4

12) Determine which of the following triangles are right triangles if the sides�� lengths are: I) 8, 15, 17 II) 4, 5, 6 III) 2, 2, 3 IV) 9, 12, 15 a) I only b) II only c) III only d) I and IV only e) I, II and IV 13) A triangle ABC has right angle B. Sides AB and BC have the lengths 3 and 4 respectively. Determine the cosine of angle

3 5

b)

3 4

c)

4 5

d)

4 3

e)

5 3

14) Which of the following ratios is the tangent of an angle? a)

opposite hypotenuse

b)

hypotenuse adjacent

c)

adjacent hypotenuse

d)

hypotenuse opposite

e)

opposite adjacent

15) What is the value of sin

2�� 3

? a)

1 2

b) -

1 2

c)

3 2

d)

- 3

2

e)

2 2

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16) What is the value of cot

3�� 2

? a) 0 b) 1 d)

2 2

e) does not exist 17) What is the value of log2 64? a) 6 b) 8 c) 16 d) 128 e) 4096 18) Which of the following is equal to log

3 2

? a)

3

b)

3 2

⎛ ⎝ �� ⎞ ⎠ ��

c)

3 2

=

d)

e)

3

19) Write as a single logarithm: log8 5-2log8 6 a) log 8

5 36

b) log 8

5 12

c) log 8 11 d) log 8 41 e) log 8 180 20) What is the result when log

is expanded? a) log

1 2

(log

1 2

(log

1 2

(log

1 2

log

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