| 1. |
Differentiate the following functions.
| (a) |
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| (b) |
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| (c) |
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| (d) |
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| (e) |
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| (f) |
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| (g) |
 .
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| (h) |
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| 2. |
What are the smallest periods of the following functions?
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| 3. |
What are the amplitudes of the following functions?
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| 4. |
A certain variable varies sinusoidally between 1 and 3 with a period of 2 days. The variable reaches its highest value at 1 pm of the first day. Find a formula for  .
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| 5. |
What is the degree of the trigonometric polynomial  ?
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| 6. |
What are the antiderivatives of the following functions?
| (a) |
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| (b) |
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| (c) |
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| (d) |
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| (e) |
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| (f) |
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| (g) |
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| (h) |
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| (i) |
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| (j) |
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| (k) |
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| (l) |
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| (m) |
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| 7. |
Use the table on page 649 to evaluate the following integrals.
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| 8. |
Compute the following definite integrals.
| (a) |
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| (b) |
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| (c) |
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| (d) |
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| (e) |
 .
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| (f) |
Suppose  . Then what is  ?
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| 9. |
Find the following areas.
| (a) |
The area under  and above  between  and  .
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| (b) |
The area bounded by  .
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| (c) |
The area bounded by the curves  and  .
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