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.
2
D.
0
Hint
3.
What is the slope of the line tangent to the graph of
y
=
x
4
when
x
= 2?
A.
16
B.
64
C.
8
D.
32
Hint
4.
Find the integral of
x
(2
x
2
+ 3) from 1 to 3.
A.
48
B.
C.
52
D.
54
Hint
5.
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.
2.04 meters
B.
4.13 meters
C.
21.41 meters
D.
20.41 meters
Hint
6.
Use limits to evaluate
.
A.
2
B.
3
C.
2
x
D.
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.
C.
32
D.
64
Hint
8.
What is the area between the curve
y
= 2
x
2
from –3 to 5?
A.
B.
C.
D.
Hint