MA 167 – Group Work  3
Group Name _________________________
Members
________________________
________________________
________________________
________________________
Assignment
due Friday 9/18/09
Average Rates of Change
1.
In this problem we will use the function
1
)
(
2
2
+
=
t
t
t
V
The graph of this function is pictured.
a)
Find the equation of the tangent line
to the graph of
V(t)
at
P
= (1, ½).
You must use limits and our limit
rules to arrive at your answer.
No
credit for shortcut rules you may
have learned in high school.
Give an
exact answer.
b)
If
s(t)
= the slope of the tangent line at the point
(t, V(t)),
find
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∞
→
)
(
lim
t
s
t
Limits
2.
Use the graph of the function
)
(
x
f
y
=
to answer the following questions.
You need
not show your work on this question.
a)
=
→
)
(
lim
5
x
f
x
b)
f
(5) =
c)
The average rate of change between
x
= 5 and
x
= 6 equals ________.
d)
The instantaneous rate of change at
x
= 6 equals _______.
3.
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 Spring '09
 aaron
 Derivative, decimal places.

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