Question 1
A monopolistic producer of two goods, G1 and G2, has a joint total cost function
TC = 10Q+QQ+10Q
where Q and Q denote the quantities of G1 and G2 respectively. If Q and Q
denote the corresponding prices then the demand equations are
P = 50Q+Q
P
Simple Rules for
S i tifi W iti
ScientificWriting
1
"Inscience,thecreditgoestothemanwho
convincestheworld,nottothemantowhom
theideafirstoccurs."
Sir
SirWilliamOsler
William Osler
2
"Writingisanart.Butwhenitiswritingto
g
informitcomesclosetobeingascience
Scientific Writing
(ST00902)
Ethics, Scientific
Ethi
S i tifi Integrity
I t
it &
Permission in Publishing
Publication Ethics
The deliberate and systematic consideration
or moral problems arising in connection
with the publication of scientific research.
2
Scientific Writing
(ST00902)
Ethics, Scientific
Ethi
S i tifi Integrity
I t
it &
Permission in Publishing
Publication Ethics
The deliberate and systematic consideration
or moral problems arising in connection
with the publication of scientific research.
2
ST00902
SCIENTIFICWRITING
(Preparingabstract)
WritinganAbstract
W iti
Ab t t
Oftenwhenaskedtowriteareportorarticle,youwillbe
requiredtoincludeanabstract.
Thisisusuallyaveryconcisesummary ofwhatthereportor
articleisaboutandisusuallyplacedbeforethebodyofy
Timeline of Famous Economists
Below is a timeline of famous economists organized by their date of birth. Beside each of them is a label
that classifies them as (Neo-) Classical, Monetarist or Keynesian. Clicking on the label will take you to
some more inf
4/8/2016
12
THE BUSINESS
CYCLE, INFLATION,
AND DEFLATION
AD = C + I + G + NX
Theory
Mainstream
businesscycle
theory
Realbusiness
cycle(RBC)theory
claims
KeynesianCycle
Theory
ADshockis
mainlydueto I
FluctuationofIis
duetobusiness
confidence
Thecycleisduet
Turk J Chem
34 (2010) , 593 602.
ITAK
c TUB
doi:10.3906/kim-0907-124
Synthesis and characterisation of vanadium(III)
complexes of biphenylphenols
Neeraj SHARMA, Maridula THAKUR and Subhash Chand CHAUDHRY
Department of Chemistry, Himachal Pradesh Universi
MANUAL PENGURUSAN PENTADBIRAN, TUGAS RASMI GURU & TAKWIM 2014
MAKLUMAT GURU & SENARAI TUGAS 2014
Nama : .
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No. Kad
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Alamat Rumah :
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No. Telefon (R) : . No. Telefon
(B) : .
Jawatan
: .
Jawatan : .
Gred
No . Fail JPN : .
SPP : .
NUMBER SYSTEM
Learning outcomes:
At the end of the lesson the student should be
able to
define complex numbers.
represent a complex number in Cartesian form.
understand the equality of two complex numbers.
understand the conjugate of a complex number.
per
Number System
Indices
1
Learning outcomes
At the end of the lesson, student should be able to
(a) define indices.
(b) state the rules of indices such as am x an = am+n,
am an = am - n and (am )n = amn .
(c) solve equations which involve index
2
The index
CHAPTER 2:
EQUATIONS,
INEQUALITIES &
ABSOLUTE VALUES
1
2.1 QUADRATIC
EXPRESSIONS &
EQUATIONS
2
LEARNING OUTCOMES:
At the end of the lesson, the students should
be able to:
(a)Define quadratic equation
(b)Solve quadratic equations by
(i) Factorization
(ii)
CHAP.1: NUMBER SYSTEM
Real number
1
Learning Outcomes
(a)
(b)
(c)
(d)
(e)
(f)
(g)
To define and understand natural, whole, integers, prime
numbers, rational and irrational numbers.
To represent rational and irrational numbers in decimal
form,
To represent
LOGARITHMS 2012
- The number 100 can be expressed as , that is =
- An equivalent form of = is
=
- = is said to be in index form.
- = is equivalent logarithmic form.
- Definition: Let > , and is a positive real number
such that = . Then,
=
that is is
SYSTEM OF REAL NUMBERS
(Chapter 1 Part 3)
Dr. Hjh. Noraini Abdullah
Faculty of Science and Natural Resources
In this chapter, you will
define number systems based on
those numbers that anyone is
familiar with: the natural numbers.
define - the 'real numb
COMPLEX NUMBER
(Chapter 1 Part 4)
Dr. Hjh Noraini Abdullah
3rd Floor, Room 48
Faculty of Science and Natural Resources
In this chapter, you will
see how the real number system is only a
part of a larger number system; call the
"complex" numbers.
see how t
Introduction
Refer to the American Heritage Dictionary of the English Language,
mathematics is the study of the measurement, properties, and relationships
of quantities and sets, using numbers and symbols. Mathematical had been
invented early in ancient E
HYPERBOLIC FUNCTIONS
Stan Wagon riding his tricycle with square wheels
(a mathematician at Macalester College in St. Paul)
HYPERBOLIC FUNCTIONS
Definitions
and
Identities
HYPERBOLIC FUNCTIONS
x
e e
cosh( x)
2
x
x
e e
sinh( x)
2
x
We pronounce
cosh(x)
si
SYSTEM OF REAL
NUMBER
(Chapter 1 Part 3)
Dr Hjh Noraini Abdullah
Faculty of Science and Natural
Resources
In this chapter, you will
define
number systems based on
those numbers that anyone is
familiar with: the natural numbers.
define - the 'real number
10/8/2014
Discrete Mathematics/Set theory/Answers - Wikibooks, open books for an open world
Discrete Mathematics/Set theory/Answers
Contents
1 Answers to Set Theory Exercise 1
2 Answers to Set Theory Exercise 2
3 Answers to Set Theory Exercise 3
4 Answers
10/30/2014
3. Graphical Representation of Complex Numbers
interactive mathematics
Learn math by playing with it!
Home
Complex Numbers
3. Graphical Representation
3. Graphical Representation of Complex Numbers
by M. Bourne
We can represent complex number
10/8/2014
Discrete Mathematics/Set theory/Exercises - Wikibooks, open books for an open world
Discrete Mathematics/Set theory/Exercises
Contents
1 Set Theory Exercise 1
2 Set Theory Exercise 2
3 Set Theory Exercise 3
4 Set Theory Exercise 4
5 Set Theory E
SJ10103
10/18/2014
Definition to elasticity
Elasticity measures the magnitude of responsiveness
of any variable to a change in one of the determinants
factors.
Formula of elasticity
The value of elasticity can be
measured by:
Elasticity , E =
For example
Logarithm and Exponential
Functions
Overview of logs and exponential functions
Logarithm is an exponent
Inverse functions
Log functions and exponential functions are
inverses of one another
Properties of logarithms
Logarithms/exponentials in scientific
Logic and Truth Tables
What is a Truth Table?
A truth table is a tool that helps you analyze statements or arguments in order to verify
whether or not they are logical, or true. There are five basic operations that you will utilize
when creating a truth t
Set Theory
(Chapter 1 Part 2)
Dr Hjh Noraini Abdullah
Faculty of Science and Natural Resources
In this chapter, you will
learn
the basic terms and facts about sets
see how sets can be combined to yield other sets.
LEARNING OUTCOMES
At the end of this chap
COMPLEX NUMBER
(Chapter 1 Part 4)
Dr Hjh Noraini Abdullah
Faculty of Science and Natural Resources
In this chapter, you will
see
how the real number system is only a
part of a larger number system; call the
"complex" numbers.
see how the interpretations
2.1 Introduction-Functions and Inverses
A function is a rule that assigns a unique value to every member in
its domain.
3
2
9
3
5
1 7
0
f
Notation: f (2) = 1, f (3) = 7, f (5) = 3 and f (9) =0
f consists of ordered pairs (2,1) (3, 7) (5, 3) (9, 0)
3
2
9
3