1.
What is the limit of the function
as
x
approaches 0?
A.
0
B.
1
C.
D.
Hint
2.
Evaluate
.
A.
B.
2
C.
0
D.
-2
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.
32 ft/s
2
B.
18 ft/s
2
C.
37 ft/s
2
D.
5 ft/s
2
Hint
4.
Use limits to find the area between the curve
y
=
x
and the
x
-axis from
x
= 0 to
x
= 2.
A.
2 units
2
B.
5 units
2
C.
4 units
2
D.
6 units
2
Hint
5.
Find the area of the shaded region.
A.
units
2
B.
units
2
C.
9 units
2
D.
10 units
2
Hint
6.
Andrés throws a ball straight upwards from a height of 1 meter with a velocity of 20 meters per second. Since the acceleration due to gravity on Earth is 9.8 meters per second squared, the function for the height of the ball at time t is f ( t ) = -4.9t2 + 20t + 1. Find the height of the ball at its highest point, when its velocity is zero.
A.
4.13 meters
B.
20.41 meters
C.
21.41 meters
D.
2.04 meters
Hint
7.
Use limits to find the area between the graph of
and the x-axis from x = 0 to x = 4.
A.
B.
128
C.
64
D.
32
Hint
8.
Find the area of the shaded region.
A.
15
B.
C.
D.
10
Hint