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Chapter 5 Test
November 13, 2006
Name
1. Working to get community service hours on his resume, your friend Sammy decides to volunteer at the Santa Clara
County Office of Government, counting votes until midnight on election day
H
see chart below
L
. Approximate the number
of votes that Sammy counted, using left

hand rectangles
H
be careful, not all time intervals are uniform
L
.
Time
H
hours
L
1
2
4
6
7
8
10
12
Rate
i
k
j
j
j
votes
ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ
hour
y
{
z
z
z
55
53
50
33
45
50
40
34
2.
Evaluate
‡

3
2
H
5

»
x
+
1
»L
dx
3.
Evaluate
‡
0
1
H
x
2
+
1
L
2
dx
4.
Find
dy
ÄÄÄÄÄÄÄÄ
dx
if
y
=
‡
sin

1
H
x
2
L
3
csc
H
2t
L
dt
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View Full Document5.
Write the following expression as a definite integral, but
do
not
evaluate
it
:
lim
n
Æ•
„
k
=
1
n
i
k
j
j
j
j
j
i
k
j
j
j
1
+
2k
ÄÄÄÄÄÄÄÄ
n
y
{
z
z
z
2

3
i
k
j
j
j
2
+
4k
ÄÄÄÄÄÄÄÄ
n
y
{
z
z
z
+
1
y
{
z
z
z
z
z
i
k
j
j
j
6
ÄÄÄÄÄ
n
y
{
z
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
=
x
2
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