1
MATHA116, Survey of Calculus,
Quiz #5
Solutions
Updated on October 10, 2006
Get help whenever in doubt!
c
[email protected]
D
irection. VII1.
Please read each of the following questions carefully. Show
your work as much as possible. No partial credit will be given without proper
work shown. Write your answer above the
Answer
line. Use the back of each
page should more space be needed.
N
Important:
Direction.
Q
uestion VII1.
(
40 points
) A study prepared for the Sunbelt town’s cham
ber of commerce projected that the town’s population in the next three years
will grow according to the rule
P
(
t
) = 50000 + 30
t
3
/
2
+ 20
t
, where
P
(
t
) denotes
the population
t
months from now. How fast will the population be increasing
nine months from now?
W
ork VII1.
We need to calculate
P
0
(9).
P
0
(
t
)
=
‡
50000 + 30
t
3
/
2
+ 20
t
·
0
=
sum rule
z
}
{
(50000)
0
+
‡
30
t
3
/
2
·
0
+ (20
t
)
0
(1)
=
constant multi. rule
z
}
{
0 + 30
‡
t
3
/
2
·
0
+ 20 (
t
)
0
=
power rule
z
}
{
30
3
2
t
3
/
2

1
¶
+ 20 (1)
(2)
=
45
√
t
+ 20
,
=
⇒
(3)
P
0
(9)
=
45
p
(9) + 20 = 45
·
3 + 20 = 155
.
(4)
That is, the population will be increasing at a pace of 155 people per month 9
months from now.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '07
 Li
 Calculus, Supply And Demand, Ork, Unit price, constant multi. rule, Williams Commuter Air

Click to edit the document details