2.
5/5 points |
Previous Answers
SCalcET8 2.7.501.XP.
The displacement (in meters) of a particle moving in a straight line is given by
s
=
t
2
−
6
t
+
15
, where
t
is measured in seconds.
(a) Find the average velocity over each time interval.
(i)
[3, 4]
1
m/s
(ii)
[3.5, 4]
1.5
m/s
(iii)
[4, 5]
3
m/s
(iv)
[4, 4.5]
2.5
m/s
(b) Find the instantaneous velocity when
t
= 4.
2
m/s
3.
3/3 points |
Previous Answers
SCalcET8 2.7.031.
Find
f '
(
a
).
f
(
x
) =
4
x
2
−
3
x
+
4
f '
(
a
) =
$$8
a
−3

6/5/2019
hw07S2.7-8
4/10
4.
3/3 points |
Previous Answers
SCalcET8 2.7.504.XP.
The limit represents the derivative of some function
f
at some number
a
. State such an
f
and
a
.
lim
x
→
4
2
x
−
16
x
−
4
f
(
x
) =
x
2
,
a
= 4
f
(
x
) = 2
x
,
a
= 16
f
(
x
) = 4
x
,
a
= 2
f
(
x
) = 4
x
,
a
= 16
f
(
x
) = 2
x
,
a
= 4

6/5/2019
hw07S2.7-8
5.
3/3 points |
Previous Answers
SCalcET8 2.7.056.
The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of
p
dollars per pound is
Q
=
f
(
p
).
(a) What is the meaning of the derivative
f '
(
5
)?
What are the units of
f '
(
5
)?
(b) In general, will
f '
(
5
) be positive or negative?
The rate of change of the price per pound with respect to the quantity of coffee sold.
The supply of coffee needed to be sold to charge $5 per pound.
The rate of change of the price per pound with respect to the quantity of coffee sold
when the price is $5 per pound.
The rate of change of the quantity of coffee sold with respect to the price per pound
when the price is $5 per pound.
The price of the coffee as a function of the supply.

5/10

6/5/2019
hw07S2.7-8
6/10