Test #2 Review Sheet
I.
On the graphs below identify all a. local maximums, b. local minimums, and c.
inflection points.
1.
2.
II.
Draw a graph with the given characteristics.
Graphs 35 have no endpoints.
Graphs 67 are on the interval
.
3.
1 local minimums, 1 global minimum, 1 local maximum, and 2 inflection points.
4.
A global minimum and no global maximum.
5.
A local minimum at x=3, a local maximum at x=4, and no global maximum or
minimums.
6.
A global minimum at an endpoint with coordinates (1,10), local maximum at the
endpoint
(10,40), a global maximum at (4,50), and a local minimum at (8,10).
7.
A local maximum at the x=1 endpoint, a global minimum at x=3, a global maximum
at x=9 endpoint.
III.
For each value
on the function graphed below, tell if the value of the 1
st
and
2
nd
derivatives are negative, positive, or 0.
Assume that points that “appear close”
to critical points are AT those critical points.
8.
9.
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IV.
Find the derivatives of each:
10.
y=5
11.
f(x)=2x+3
12
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
V.
Solve each as directed.
36.
The distance (d) miles that a car has travelled from Columbia is given by the
formula d=60t+100, where t is the number of hours.
Find the derivative and give
the units and interpret the meaning .
37.
Zebra mussels first appeared on the St Lawerence River in 1980.
The number of
mussels (N) can be given by the equation
, where t is the number of
years since 1980.
Answer the following questions:
a.
How many mussels were there in 1995?
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 Spring '08
 KUSTIN
 Critical Point, Inflection Points, Fermat's theorem

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