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Chapter 5 Test
November 14, 2005
Name
1.
You went trick
−
or
−
treating 2 weeks ago. Your friend Nimrod dares you to eat as many M &
M
±
sa
s
you possibly can in 30 seconds. Foolishly, you take him up on the dare, as evidenced by the chart
below. Approximate the number of M &
M
±
s you ate, by using trapezoids
. Be careful, the time
intervals are not uniform.
Time
H
seconds
L
0
6
11
17
21
25
30
Velocity
J
M&
M
±
s
cccccccccccccccccc
second
N
66
4
305
7
H
burp
!
L
2.
Evaluate
‡
−
2
5
Q
1
cccc
2
x
U
dx
H
where
P
x
T
is the greatest integer, or step, function
L
3.
Evaluate
‡
0
1
H
x
2
+
2x
LH
+
1
L
dx
4.
Find
dy
cccccc
dx
if
y
=
‡
H
ln 2
L
2
x
x
tan
−
1
td
t

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*Sign up*5.
Write the following expression as a definite integral, but
do
not
evaluate
it
:
lim
n
→∞
‚
k
=
1
n
i
k
j
j
log
5
i
k
j
j
π
cccc
3
+
7
π
cccccccc
6n
k
y
{
z
z
+
i
k
j
j
π
cccc
6
+
7
π
cccccccccc
12 n
k
y
{
z
z
y
{
z
z
i
k
j
j
7
π
ccccccc
6
n
y
{
z
z
6.
For the following function, at what point
H
s
L
on the interval does the function assume its average
value?
f
H
x
L
=
è!!!!!!!!!!!!!!

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