MAC3233 Test 4 August 9, 1995
Name
Instructions:
This is a
closedbook, closednotes
test. Do
not
write your answers on this paper,
use separate answer sheets.
No calculators
are allowed to be used. To receive credit, you must
show all
work
.
Some numerical answers may involve the function ln or the number
e
.
1. (5 points) Let
P
(
t
) be the number of bacteria present in a culture after
t
minutes, and suppose that
P
(
t
) satisﬁes the diﬀerential equation
P
0
(
t
) = 0
.
35
P
(
t
)
.
Find the formula for
P
(
t
) if initially there are approximately 13,500 bacteria present.
2. (15 points) Suppose that the velocity of a model car at time
t
is
1
t
+
t
inches per second where
t
is in
seconds and 1
≤
t
≤
10.
(a) Find the area under the graph of the velocity curve from
t
= 1 to
t
= 10.
(b) What does the area in part (a) represent?
3. (15 points) A company can sell
q
=
400
50 +
p
2
refrigerators at a price of
p
hundred dollars per refrigerator.
(a) Find
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 STAFF
 Calculus

Click to edit the document details