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151 WebCalc Fall 2002-copyright Joe Kahlig
In Class Questions
MATH 151-Fall 02
December 5
1. The following if the graph of f 0 (x). The areas are given: A=7, B=12, and C=8. Also f (0) = 3. If
there is not enough information to answer the question, then explain what additional information
would be needed.
(a) f (2) =
(b) f (6) =
(c) If the function f (x) is only defined on
the interval [0, 9], find the absolute maximum and the absolute minimum of the
function.
This is the graph of the derivative.
f 0 (x)
(d) If
is the velocity of an object and
x is time measured in seconds, find the
displacement of the object after 9 seconds.
(e) If f 0 (x) is the velocity of an object and
x is measured in seconds, find the total
distance traveled by the object during
the first 9 seconds.
B
A
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2. Find the derivative of the following.
sin(x)
Z
cos(u2 + 1) + 7u du =
(a) g(x) =
7
Z2
(b) g(x) =
ln u du =
x3
x
R2
3. lim
x→∞
Z4
4.
0
3tet dt
5x2 ex2
=
(3x + 4e4x )dx =
0
Z6
5.
(x − 2)(3x + 2)dx =
1
6. Find the area between the function f (x) = (x − 2)(3x + 2) from x=1 to x=6
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