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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)