Math 1324
Quiz 1  Sec 1.2, 7.1 7.6
Name:
Please Print
Show all work for credit. Give probability answers as fractions unless told otherwise in the
problem.
1. Let f ( x )= 7 3 x. Find the following, simplifying as much as possible:
a) f ( 4 )
b) f ( a +
Math 1316 Final Exam Review
The Math 1316 Final Exam is entirely noncalculator.
Convert each angle below from degrees to radians.
1. 128
2. 440
3. 600
Convert each angle below from radians to degrees.
4.
7
8
5.
5
12
6.
3
10
Determine all six trigonometr
4.4 Graphs of the sine and cosine function
Domain and range: Domain: x Values, Sin and Cos are ( , Range: y Values , Depends on the high point of the graph [1, 1]
Zeros: When the line on graph crosses the x intercept line.
Evenodd Properties: Sin is odd
1. B00631692
2. A) Trip 1: ARC =
460
1
46
1
=
mi
h2
= 46
The speed is increasing at a rate of 46 mph per hour
during the
ARC =
first hour of the trip.
4346
3
=
2
2
= 1.5
mi
2
h
The speed is decreasing at a rate of 1.5 mph per hour
during
ARC =
the next t
Math 0310: Review Unit 4 Fall
2015
Find the GCF.
1.
2.
Factor out the GCF.
4.
3.
18, 21, and 24
6.
5.
Find the missing factor.
7.
Factor by grouping.
8.
9.
Factor the polynomial completely. If it cannot be factored, say it's prime.
10.
11.
12.
13.
14.
15.
Name 2 E 5; Sec
Quiz2 (11.111.4)
Use the graph to answer the following:
x=a f (a) 11m f (x) 11m f (x) 11m f (x) Continuous Reason for discontinuity
xm xm at x: a
Q (4) t5 (Lucig'; (Lani .
2. 1imf(x) = .1 lim f (x) =_C1_
X)0
MATH1324 Fall 2016
Instructor: Ashley Majzun
Blinn College  Bryan
8.1 & 8.2: Multiplication Principle, Permutations, & Combinations
Example 1: How many different types of homes are available if a builder offers a choice
of 6 basic plans, 3 roof styles, a
Sec. 8.3 Probability Applications of Counting Principles
P( E )
n( E )
n( S )
Ex.1 (Using Counting Techniques)
An urn contains 5 red, 4 black, and 3 white marbles. Three marbles are selected at random without
replacement. Find the probability of observin
Sec. 8.2 Combinations
Ex.1
Suppose you are leaving for the weekend and you need to pack three shirts, but the only shirts that are
clean are an Aggie shirt, a Blinn shirt, a College shirt, and a Denver Broncos shirt. How many different
ways can you pack y
Sec. 8.1 The Multiplication Principle and Permutations
The Multiplication Principle
Suppose choices must be made , with
n
m1
m2
ways to make choice 1,
ways to make choice 2,
mn
Then there are
ways to make choice
m1 m2 L
m
n
n
,
different ways to make the
Sec. 7.5 Conditional Probability
Conditional Probability
P( E  F )
P E F
where P ( F ) 0
P( F )
P( E  F )
n E F
where n( F ) 0
n( F )
Ex.1
Given the Venn diagram, find the following probabilities.
a)
b)
c)
d)
P ( B  A)
P ( A  B)
P( B  A)
P ( B  A
Sec. 7.6 Bayes Theorem
Bayes Theorem
P( F  E )
P( E F )
P(E F )
P ( F ) P ( E  F )
P( E )
P( E F ) P( E F ) P( F ) P( E  F ) P( F ) P( E  F )
Ex.1
a) Given 2 urns, suppose Urn 1 contains 4 black and 7 white balls. Urn 2 contains 3 black and 4
white b
Sec. 7.4 Basic Concepts of Probability
Union Rule for Probability
P( E F ) P( E ) P( F ) P( E F )
Union Rule for Mutually Exclusive Events
P( E F ) P( E ) P ( F )
Ex.1
Draw a card from a deck of 52. Find the probability that it will be a heart or king.
Ex
Sec. 7.2 Applications of Venn Diagrams
Shading Venn Diagrams
Ex.1
Shade the following regions on the Venn Diagrams according to the set operations.
a)
A B
A a, b
B b, c
A B b
b)
A B
A a, b
A B a, b, c
B b, c
c)
A B
A
B
A B
d)
A B
A
B
A B
Ex.2
Shade th
Sec. 7.3 Introduction to Probability
Definitions
 Experiment: an activity or occurrence with an observable result
 Trial: each repetition of an experiment
 Outcome: result of each trial
 Sample Space: set of all possible outcomes for an experiment
Ex.
Sec. 7.1 Sets
Definition:
 Set: A well defined collection of objects
o
L a, b, c, d , e, f
o
o
o
o

P 1,3,5, 7,9
P x  x is an odd integer between 0 and 10
F all first names in this class
C all makes of cars in the parking lot
Element: members of a set
1. Element (member): a set of any one of the distinct objects that make up the set.
2. Empty set (null set): a set that contains no elements, its size then is zero.
3. Set builder notation: a notation is used for describing a set that states the propertie
Name: 1:146 ' WS Sec. 5.5
Solve. Round answers to the nearest tenth.
Solve. O
1) Two forces of 25 N and 16 N (newtons) act On an object. The angle between the forces is 1) 3? 3N [ lgg
34. Find the magnitude of the resultant and the angle that it makes wit
Name Math 1316 THU. #63 513
Round all answers to two decimal places.
1. A television camera on a blimp is focused on a football field with an angle of depression of 23. A
range finder on the blimp determines that the distance from the blimp to the eld is
Page 129
Convertin Polar E  uations to Rectan ular E nations:
1) Substitute usin_ l= nd )5 = 3* cos 9 and
2) Use completing the square to write equation in standard form.
Equation of a Circle: (3: 11): + (y k)2 = r2
. Center = (hit)
Radius 2 r
x
Mathl324 Name: [mgdligga Bgl 400g
Quizl Sec 1.2, 7.1 Pl Print
Show all work for credit.
1. Let f (x): 7 3x. Find the following, simplifying as much as possible:
a) f(4)_ 1 M L? /7
:lcl C (L\,\q
xvN
M
b) fLa+hL2 :) '31 01+37\)
/
(WWW
2. Fredericks
Math 1324 Name: L ow V0 CarRx
Quiz #3 Sec 7.4, 7.5 Please print
Show all work for credit.
1. One card is selected at random from a wellshufed deck. What is the probability that the
card is [email protected] face card? \A : (mit\i'i 0 VEQQVVit
\ V( 3 greecammj 06
5. An experiment consists of selecting a letter at random from the letters in the word
REPRESENTATIVE and "observing the results. Give an appropriate sample space.
3: EEE(P,5,NIT;AI\1\J7W
6. Your experiment is to toss a coin and roll a 4sided die at the
5. An experiment consists of selecting a letter at random from the letters in the word
REPRESENTATIVE and observing the results. Give an appropriate sample space.
S=Etz,5/P/%W,T,AII,V,;
6. Your experiment is to toss a coin and roll a 4sided die at the sa
1.3 Inverse, Exponential and Logarithmic Functions
Exponential functions are of the form y = b" where b > Oand b at l, x is any real
number.
1 1
:2r = _
y y [2]
.
Domain: ( 60,00) Domain: [. 903
Range: (0 ) 00) Range: (OJ 003
Note: Natural exponential
Name
C) : 00 Math 2413
Quiz 5
Sections 3.1 & 3.2
Show all work for full credit.
Use the denition of the derivative to nd the slope of the line tangent to the graph of f
at the point P (or the x coordinatea) and nd the equation of the tangent line at the