Calculus II |
Test #1
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March 5, 2002
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Name____________________ |
R. Hammack
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Score ______
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(1) Evaluate the following integrals.
(a)
(b)
(c)
(d)
(2) A object moving on a straight line has a (nonconstant) acceleration
of 6t feet per second per second at time t.
It travels a distance of 33 feet between times t = 0 and t = 3. Find
the object's velocity function v(t).
(3)
(4) Find the average value of the function on
the interval [0, ln(2)].
(5)
(6) The graph of a function f(x) has slope at
each point (x, f(x)).
Also, the graph of f(x) passes through the point (1,
5). Find the function f(x).
(7) The expression represents
a definite integral over the interval [3, 5]. Write the definite
integral. (You do not need to find its value.)