2.
5/5 points |
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SCalcET7 2.7.016.
The displacement (in meters) of a particle moving in a straight line is given by
s
=
t
2
−
8
t
+
15
, where
is measured in seconds.
(a) Find the average velocity over each time interval.
t
(i)
[3, 4]
-1
-1
m/s
(ii)
[3.5, 4]
-0.5
-0.5
m/s
(iii)
[4, 5]
1
1
m/s
(iv)
[4, 4.5]
0.5
0.5
m/s
(b) Find the instantaneous velocity when
t
= 4.
0
0
m/s
Solution or Explanation
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12/14/16, 4(14 PM
hw07S2.7-8
3.
3/3 points |
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SCalcET7 2.7.027.
Find
f'
(
a
).
Using
the definition
with
f
(
x
) =
2
x
2
−
5
x
+
f'
(
a
) =
$$4
a
−
5
2
.
5
.
)
2
)
a
−
2
h
)
0

Page 4 of 12

12/14/16, 4(14 PM
hw07S2.7-8
4.
3/3 points |
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SCalcET7 2.7.035.
The limit represents the derivative of some function
f
at some number
a
. State such an
f
and
a
.

Page 5 of 12

Solution or Explanation
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5.
3/3 points |
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SCalcET7 2.7.050.
The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of
dollars per pound is
Q
=
f
(
p
p
).
(a) What is the meaning of the derivative
f '
(
4
)?

12/14/16, 4(14 PM
hw07S2.7-8
Page 6 of 12