THE UNIVERSITY OF WESTERN ONTARIO
DEPARTMENT OF STATISTICAL AND ACTUARIAL SCIENCES
STATISTICS 1024A MAKE-UP EXAM
Friday, January 11th, 2013, 7:00 PM - 10:00 PM
EXAM CODE 200
INSTRUCTIONS:
This is a closed book test. A formula sheet and statistical tables
Exercises
: StephyStep Solutions begin on page R29.
Express each logarithm in terms of 111 2 and in 5. (Example 1]
1. 111% 2 1112011
3 111110 4. 11112.5
0.8 2
s 111? 11. 111E
1. 1112000 11. 1111.5
Express each logarithm in terms of In 3 and ln 7. (Examp
Pre-Calculus 110
3.2 & 3.3
Sections
Working with Quadratic Functions in
Standard and Vertex Forms
Example 1: Identify Characteristics of a Quadratic Function
in
Standard Form f(x) ax2 bx c , a 0
For the quadratic function f(x) x2 2x 3 , identify the direc
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Pre-Calculus 110
Section 8.1
Solving Systems of Equations Graphically
System of Linear-Quadratic Equations
A linear equation and a quadratic equation involving the same variables
A graph of this system involves a line and a parabola
Solve the following sy
Pre-Calculus 110
Section 8.2
Solving Systems of Equations Algebraically
LINEAR QUADRATIC
Example 1: Algebraically Solve a System of Equations
x2 x y 6 0
Solve the system of equations
x y 3 0
Solution:
Method 1 Substitution
1.
x2 x y 6 0
2.
xy30
Isolate
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Ms. Hagans Math Newsletter
February
Logic
Puzzle
Keep up the great
work!
Ms. Hagan
Hi All!
As many of you know, I have been making my
website better throughout the year. Be sure to
check out the hints to POWs. If you are stuck
go to the website and find a
Algebra 2
STANDARD QUIZ OUTLINE (SEMESTER 1)
Show all work and leave all answers in simplest form.
x3 3
1. Evaluate f (5) for f ( x)
x
Name_
Date_Per_
2
(std #1)
2. Solve:
x
7
5
2 x
3
12
6
(std #2)
3. Solve:
3
x 6 4 13
4
(std #3)
4. Graph the solutio
Pre-Calculus 110
Section 8.1
Solving Systems of Equations Graphically
System of Linear-Quadratic Equations
A linear equation and a quadratic equation involving the same variables
A graph of this system involves a line and a parabola
Solve the following sy
Algebra 2
STANDARD QUIZ OUTLINE (SEMESTER 2)
Show all work and leave all answers in simplest form.
1.
49 x 7
,
24
3(2 4i) 5(6 2i) , (3 8i) 2 ,
12 x 2 y 3 z 4
2. Simplify:
2 13 5
28 x y z
Name_
Date_Per_
1 4i
3 6i
(std #1)
2
OR Divide: (3x3 5x2 4 x 8
Review
Chapter 3
Page 484: 1,2,3,4,12
Page 485: 13,14,15,16,17,18,28,32,33,34,35,50,53
Page 486: 76,77,78,79,66-70
Page 487: 88
Page 488: 6-9
State the domain of
.
Find the accumulated value of an investment of 3200 at 6%
compounded continuously.
Find the
Pre-Calculus 11
Solving Systems of Equations Algebraically
LINEAR QUADRATIC
Example 1: Algebraically Solve a System of Equations
x2 x y 6 0
Solve the system of equations
x y 3 0
Solution:
Method 1 Substitution
Method 2 Elimination
1. x x y 6 0
2. x y 3 0
Pre-Calculus 110
Sections 4.3-4.4
The Quadratic Formula
When solving quadratic equations, it is not always easy, or even possible, to solve
by factoring. Another method that can be used to solve quadratic equations
involves completing the square. By using
CALCULUS 1501 WINTER 2013
HOMEWORK ASSIGNMENT 3.
Due February 28.
3.1. Using only the -N denition of convergence of a sequence prove
2n + 1
2
lim
= .
n 3n + 2
3
3.2. Recall that the Fibonacci sequence is dened by
f1 = f2 = 1, fn = fn1 + fn2 , for n > 2.
C