MATH 144 Spring 2012
Exam 1 Review
Name:
1. Find the following limits:
(a) lim (x2 4x + 2)
x 2
x2 9
x3 x 3
(b) lim
x2 3x + 10
x 1
x3 1
(c) lim
2. Use the graph of f (x) in problem 6 in section 9.1 of your textbook to nd the following:
(a) lim f (x)
x6
(b)
1.1 Counting Techniques
The Fundamental Principle of Counting (FPC)
Suppose a task can be completed in k different steps. If Step 1 can be accomplished in n1 ways, Step 2 in n2
ways, Step 3 in n3 ways, , and Step k in nk ways, then the entire task can be
Chapter 4 Review
Name: _
1. Let be a continuous random variable with a probability density function of defined on the interval [0,
6].
Sketch the graph of the function.
Find the total area under the graph.
Find .
Find .
2. What are the three properties of
Chapter 3 Review
Name: _
1. A casino gambling game pays the player Y dollars according to the following probability distribution:
Is this a game that an intelligent person might like to play? Justify your answer.
2. Suppose of students at a particular uni
MATH 144 Spring 2012
Exam 1 Review
Name:
1. Find the following limits:
(a) lim (x2 4x + 2)
x 2
Solution: 2
x2 9
x3 x 3
(b) lim
Solution: 6
x2 3x + 10
x 1
x3 1
(c) lim
Solution: DNE
2. Use the graph of f (x) in problem 6 in section 9.1 of your textbook to
138 Exam 2 - Practice
Graphing (non-calculator) Portion of Exam
1. Consider the following graph:
a. On what intervals (if any) is the graph
increasing?
decreasing?
constant? none
b. Is y a function of x? Explain your reasoning.
Yes because each x-value is
Exam 3 Review (Ch 5, 6, 7)
Name: _
1. The following data represents the number of days to maturity for short-term investments.
53
Using four classes, draw a frequency histogram or relative frequency histogram.
Create a stem-and-leaf plot of this data.
Cal
Sect 3.1 cont.
Assume that the revenue, R, for a certain product is determined by the following equation:
a.) Find the number of units, x, that produces a maximum revenue.
b.) Find the maximum revenue.
A ball is projected directly upward from an initial h
Section 4.2 cont.
Formulas for Compound Interest
For n compounding periods per year:
For continuous compounding:
A=
P=
t=
r=
n=
Find the future value and interest earned if $2500 is invested for 5 years at 6% compounded quarterly.
Find the future value an