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Calculus  II                                                          Test #1                                                  March 5, 2003

Name____________________                     R.  Hammack                                                Score ______
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(1) Find the following integrals.

(a)

(b)

(c)

(d)

(e)

(f)

(2) Find the following definite integrals.

(a)

(b)

(c)

(d)

(3)  The expression      represents a definite integral over the interval [3, 5].   Write the definite integral. (You do not need to find its value.)

(4)  Find the average value of on the interval [0, 3].

(5) Find the following integrals. You may find it easiest to consider the area under the graphs.

(a)

(b)

(6) Find the derivative of the function

(7) A  train, moving with constant acceleration, travels 25 miles in half an hour.  At the beginning of the half-hour period, it has a velocity of 10 miles per hour.  What is its velocity at the end of the half-hour period?

(8) Suppose that     and  .

(a)

(b)