TUTORIAL 1 : SURDS, LOGARITHM
1] Solve the following equation
2ln(x) ln(x+1) = 0
2] Simplify the following expression to a single term
10
3log( x) log 2 log(10 x)
x
3] A firm charges a fixed price of $80 for each shirt sold. The firm has a total cost fu
RMIT
FINAL EXAMINATION
RMIT BUSINESS
SCHOOL OF ECONOMICS AND FINANCE
EF230: QUANTITATIVE ANALYSIS.
FINAL EXAM
DATE:
TIME:
(3 hours plus 15 minutes reading time)
INSTRUCTIONS:
1.
Students should answer all 20 questions in the paper.
2.
The exam is marked o
Solutions to Quantitative Analysis Practice exam 3
SECTION 1
Q1
(a) Q K L
(b)
Q K L
1
K Q L
(c) Quantity
Q2
Q = 21.7 and 2.3
Q4
(a)
ln y ln ax b
ln y ln a b ln x
(b)
ln y ln ae cx
ln y ln a cx ln e
ln y ln a cx
Q5
(a)
P 19e 0.03t
(b)
P 19e 0.12
21.42244
ECO2IQA 2015 Chapter 9 Solutions
Part 2
1. An upper triangular matrix is a matrix whose elements below the main
diagonal are all zero. A lower triangular matrix is a matrix whose
elements above the main diagonal are all zero.
a
0
Let D be any 2 x 2 diagon
ECO2IQA 2015 Chapter 4 Solutions
Part 1
1. Quadratic functions.
a. Do as many questions from Exercise 4.1 (p. 152 of the textbook)
as you need to until you are comfortable with solving quadratic
equations. Note: there is an error in the solution in the ba
ECO2IQA 2015 Chapter 3 Questions
1. Breakeven model. Do Exercise 3.3 Question 3 from p. 126 of the
textbook.
2. Simultaneous Linear Equations.
a. Do Exercise 3.1 Questions 2, 3, 7 and 8 from p. 111 of the
textbook.
b. How many solutions are there to the f
PRACTICE SET FOR Q.A. EXAM
Q.1 In finance the equation for the market model is:
Rit
Where:
0
1RMt
Rit
= the returns on share i at time t, and
RMt
= the returns on the market at time t.
(a) What type of mathematical function is this? That is, what name wou
Solutions to Quantitative Analysis Practice exam 2
Q.1 (a) Cobb-Douglas production function
(b) A 1% increase in labour input, whilst holding capital constant, will result in a 0.7% increase in output. A
1% increase in capital input, whilst holding labour
Week 5 - Solving Gauss-Jordan Eliminations
Warm up problems:
1)
2 x 1 +4 x2 6 x3 =10
3 x1 +3 x 23 x 3=6
2)
3 x1 9 x2 +12 x3 =6
2 x 1+ 6 x28 x 3 =4
3)
2 x 1 +4 x2 10 x 3=2
3 x1 +9 x 221 x 3=0
x 1+5 x 212 x3 =1
4)
3 x1 +5 x 2x 3=7
x 1+ x 2 + x 3=1
2 x 1 +11
Chapter 15
Multivariable
Calculus
Section 4
Maxima and Minima
Using Lagrange
Multipliers
Learning Objectives for Section 15.4: Max/Min
with Lagrange Multipliers
The student will be able to
solve problems involving
1. Lagrange multipliers for
functions of
Practice Exam 1 : Solution
Solutions : Quantitative Analysis Practice exam 1
Q1. (a) It is a linear function.
(b) (i)
0
(ii)
1
elasticity
(iii)
Q2.
Rit
Rmt
x
R Mt
Rit
1 .
RMt
Rit
(a) Find the values of x for which y = 0.
(b) Discriminant
(c) It can be u
RMIT
FINAL EXAMINATION
RMIT BUSINESS
SCHOOL OF ECONOMICS AND FINANCE
ECON1061 :QUANTITATIVE ANALYSIS
FINAL EXAM
DATE:
TIME:
(3 hours plus 15 minutes reading time)
INSTRUCTIONS:
1.
Students should answer all 20 questions in the paper.
2.
The exam is marked
SCHOOL OF ECONOMICS, FINANCE AND MARKETING
Practice exam 4
COURSE:
FINAL EXAMINATION
QUANTITATIVE ANALYSIS
DATE:
TIME:
EXAMINATION DETAILS:
Reading time:
Writing time:
15 minutes
3 hours
Total number of pages:
9
INSTRUCTIONS TO CANDIDATES:
1. The question
Practice Exam 1 : Solution
Solutions : Quantitative Analysis Practice exam 1
Q1. (a) It is a linear function.
(b) (i)
0
(ii)
1
R
elasticity 0 . Mt
(iii)
R it
Q2.
(a) Find the values of x for which y = 0.
(b) Discriminant
(c) It can be used to find out how
RMIT
FINAL EXAMINATION
RMIT BUSINESS
DEPARTMENT OF ECONOMICS AND FINANCE
EF230: QUANTITATIVE ANALYSIS.
FINAL EXAM
DATE:
TIME:
(3 hours plus 15 minutes reading time)
INSTRUCTIONS:
1.
Students should answer all 19 questions in the paper.
2.
The exam is mark
ECO2IQA 2015 Chapter 6 Solutions
Part 1
Note: Recall if y f x then
dy
and f x all mean the first derivative
dx
d2y
y and
and f x all mean the second derivative
dx 2
y and
1. Power rule. Used to differentiate power functions and thus polynomials
too.
a. Do