1.
What is the limit of the function
as
x
approaches 0?
A.
1
B.
C.
0
D.
Hint
2.
What is the slope of the line tangent to the graph of
y
=
x
4
when
x
= 2?
A.
16
B.
32
C.
8
D.
64
Hint
3.
Acceleration is the rate at which the velocity of a moving object changes. That is, acceleration is the derivative of velocity. If time is measured in seconds and velocity in feet per second, then acceleration is measured in feet per second squared. If a car's velocity is described by the function
, what is the car's acceleration at
t
= 4?
A.
37 ft/s
2
B.
18 ft/s
2
C.
32 ft/s
2
D.
5 ft/s
2
Hint
4.
What is the area between the curve
y
=
x
3
and the
x
-axis from
x
= 2 to
x
= 6?
A.
320 units
2
B.
256 units
2
C.
324 units
2
D.
216 units
2
Hint
5.
Find the integral of
x
(2
x
2
+ 3) from 1 to 3.
A.
B.
54
C.
52
D.
48
Hint
6.
If
for x ? 0, then what is
?
A.
0
B.
1
C.
-1
D.
The limit does not exist.
Hint
7.
Use limits to find the area between the graph of
and the x-axis from x = 0 to x = 4.
A.
128
B.
32
C.
D.
64
Hint
8.
When
,
x
i
represents ___________.
A.
the
x
-coordinate of the right edge of the current rectangle in the summation
B.
the width of the current rectangle in the summation
C.
the
x
-coordinate of the left edge of the current rectangle in the summation
D.
the height of the current rectangle in the summation
Hint