This preview shows pages 1–3. Sign up to view the full content.
MATH 119
Sample (A Key)
(Chapter 2 and 3)
NAME:
Class ID #:
1)
The population of a town in millions is given by:
P
= 1.5(1.05)
t
where
t
is the number of years since the
start of 1995.
Find:
a) The average rate of growth between 1995 and 2000:
0.0828 M/Year
b) How fast the population is growing at the start of 1995?
(hint: find the instantaneous rate of change, the
derivative at t = 0 for 1995)
0.073 M/Year
2) Sketch the graph of the first and second derivatives of the functions given below.
Be sure that your sketches
are consistent with the important features of the original function.
f ‘(x)
f ‘(x)
f "(x)
f "(x)
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document 3) Draw a possible graph of
y = f(x)
given the following information about its derivative:
•
f ‘(x) >
0
on 2 <
x
< 6
•
f ‘(x) =
0
at
x =
2 and
x
= 6
•
f ‘(x) <
0
on
x
< 2 and
x
> 6
4) Let
C(q)
represent the total cost of producing
q
items. Suppose that
C
(10) = $15 and
C ‘
(10) = 0.2. Find the
total cost of producing 8 items.
$14.6
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 02/29/2012 for the course MATH 119 taught by Professor Maanomran during the Fall '09 term at Indiana UniversityPurdue University Fort Wayne.
 Fall '09
 MaanOmran
 Math

Click to edit the document details