Tutorial Solutions: Week 4
EMET1001: Foundations of Economic and Financial Models
Semester 2, 2016
Note: These are only sketches of the solutions. Fully correct solutions require all
working and/or written explanation.
Review problems for chapter 7
Questi

ECON1001/7001
Tutorial Problems/Questions - Week 03
Problem 1
Read Newtons Binomial Formula and Pascals Triangle in chapter 3.
(1a) Expand (2xy 2 z 1 3x3 y 1 z 2 )6 .
(1b) Find the coe cient of x25 in the expansion of (2x2 y 3 + x=y)20 .
Problem 2
Find th

ECON1001/7001
Tutorial Problems/Questions - Week 02
The solutions will be presented during tutorial sections.
Discussion about Bonus Problems will only occur if time permits.
Problem 1
(1a) Write the mathematical formula of any function that has a graph
m

ECON1001/7001
Tutorial Problems/Questions - Week 08 (2016)
Problem 1
Compute the one-sided limits (i.e., the lateral limits), if they exist, or
explain why they do not exist.
lim
x!0+
lim
x!0+
lim
x!0
x2 + 1
+ 2x
x
x(x2 + 7)
jxj
x(x2 7)
jxj
Problem 2
Cons

ECON1001/7001
Tutorial Problems/Questions - Week 06 (2016)
Problem 1
Compute the rst and second derivatives of the functions f : (0; +1) !
R below.
(1a) f (x) = 3x9 8x 0:5
(1b) f (x) = 7
1
(1c) f (x) = g(x)h(x), where g : (0; +1) ! R and h : (0; +1) ! R a

Week 2:
Demand and inverse demand
As the price P belongs to R+, increases, the aggregate demand Q belongs to R+, goes down P and
Q move in opposite directions. Qis a decreasing function of P.
Demand: Q=Q(P)
Inverse demand: P=P(Q)
The higher the price, the

Tutorial Solutions: Week 2
EMET1001: Foundations of Economic and Financial Models
Semester 2, 2016
Note: These are only sketches of the solutions. Fully correct solutions require all
working and/or written explanation.
Review problems for chapter 5
Questi

Tutorial Solutions: Week 3
EMET1001: Foundations of Economic and Financial Models
Semester 2, 2016
Note: These are only sketches of the solutions. Fully correct solutions require all
working and/or written explanation.
Review problems for chapter 6
Questi

ECON1001/7001
Tutorial Problems/Questions - Week 04
Problem 1
Compute the derivatives of the functions f : R
(1a) f (x) = 3x 8
(1b) f (x) = 3x4 8x + 99
(1c) f (x) = 3x5 2x4 + 8(x2 + x 1) 3
(1d) f (x) = x 2
f0g ! R below.
Problem 2
For each function f : A