BAB1 : KEMUNCULAN TAMADUN
AWAL MANUSIA
1) Zaman Prasejarah
a ) Apakah Zaman Prasejarah.
Zaman ini manusia belum
mengenali tulisan Kajian zaman
ini dilakukan oleh ahli arkeologi .
Empat tahap zaman ini ialah Zaman
Paleotik , Mesolitik , Neolitik dan
Loga
Review article
S W I S S M E D W K LY 2 0 0 4 ; 1 3 4 : 3 6 9 3 7 6 w w w . s m w . c h
369
Peer reviewed article
The relationship between schizophrenia
and religion and its implications for care
Sylvia Mohr, Philippe Huguelet
Summary
This paper focuses o
The Chemistry of Sport Drinks: Teacher Notes
Background Information
All living cells need energy to function in order for the chemical reactions occurring in the cells to
take place. In humans this energy is obtained by breaking down organic molecules suc
Heat of Combustion of Oils
April 30, 1998
Group R4
Anastasios Argeros
Dan Pincus
Zachary Shinar
Andrea Sultenfuss
Abstract
To determine a relationship between heat of combustion and degree of saturation,
olive oil (regular and extra virgin), canola oil, a
1.
3 4
7
Find the coefficient of a b in the expansion of (5a + b) .
(Total 4 marks)
2.
5
8
Find the coefficient of x in the expansion of (3x 2) .
(Total 4 marks)
3.
5 7
12
Find the coefficient of a b in the expansion of (a + b) .
(Total 4 marks)
9
4.
2
x
Mathematics 1 : Integration (extras)
Prepared by Dr Phil Stephenson (May 2008)
This document contains further examples for you to practice.
1.
Determine each of these integrals:
3
60
(a)
x
(b)
x
3
x 2 1 + dx
4
x
9
+
+
1
4 x
1
dx
x3
x 3 + 3x 2 + 2
dx
x2
Mathematics 1 : FOSV I (extras)
Prepared by Dr Phil Stephenson (May 2008)
This document contains further examples for you to practice.
1.
Use the Lagrange Multiplier Method to minimise
1
1
1
+
+
x
y
z
subject to x + y + z = c, for x, y, z > 0, where c is
Mathematics 1 : Sequences (extras)
Prepared by Dr Phil Stephenson (May 2008)
This document contains further examples for you to practice.
It is safe to ignore all the theory and all the circled questions
Theory
The amount, At, in the balance of an account
Mathematics 1 : Matrices (extras)
Prepared by Dr Phil Stephenson (May 2008)
This document contains further examples for you to practice.
1.
Use a matrix method to solve the following system of equations
3P1 2P2 = 1
P1 + 5P2 = 35
2.
Use row reduction to so
Mathematics 1 : Basics (extras)
Prepared by Dr Phil Stephenson (May 2008)
This document contains further examples for you to practice.
1.
Factorise and then solve the equation 2x3 + x2 12x + 9 = 0.
2.
Solve each of the following equations for x, giving th
Mathematics 1 : Differentiation (extras)
Prepared by Dr Phil Stephenson (May 2008)
This document contains further examples for you to practice.
1.
What is the gradient of the tangent to the curve y = x2, at the point (5, 25)?
2.
Find the equation of the t
Mathematics 1 : 2007 Zone B Exam
Prepared by Dr Phil Stephenson (May 2008)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
Show that the graphs of the functions f(x) = x2 x 6 and g(x) = 2x 10 do not
intersect, and sketch both grap
Mathematics 1 : Basics
Case 4: pD =
constant
.
linear
Let pD =
60
(no working is required)
2q + 5
When q = 0 then p = 12
If q > 0 then p 0 graph is above the q-axis (which has equation p = 0) in the first quadrant.
p 0 as q . Exaggerate curve. Extend so t
Mathematics 1 : 2009 Zone B Exam
Prepared by Dr Phil Stephenson (November 2010)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
A firm is the only producer of a particular good, and the demand equation for the good
is 2p + q = 20,
Mathematics 1 : 2006 Zone B Exam
Prepared by Dr Phil Stephenson (May 2008)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
The supply equation for a good is given by p = q2 + 6q + 24.
Sketch the supply curve for q 0. If the demand
Mathematics 1 : 2010 Zone B Exam
Prepared by Dr Phil Stephenson (November 2010)
Section A (Answer all 6 questions in this section. 60 marks in total)
1.
The functions f and g are defined by
f(x) = x2 + 5x + 6, g(x) = 2 x2 + x.
Show that the curves y = f(x
Mathematics 1 : 2008 Zone B Exam
Prepared by Dr Phil Stephenson (July 2008)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
The demand equation for a good is q(2p + 3) = 8 and the supply equation is
q 2p + 4 = 0 where p is the pri
Mathematics 1 : 2005 Zone B Exam
Prepared by Dr Phil Stephenson (May 2008)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
Sketch the curves with equations y = 2x2 + 3x 5 and y = 6x + 4 4x2
on the same diagram, indicating where ea
SIM
GLOBAL SINGAPORE INSTITUTE OF MANAGEMENT
EDUCATION
PRELIMINARY EXAM 2010
PROGRAMME(S) : University of London Degree and Diploma Programmes
(Lead College: London School of Economics & Political Science)
SUBJECT : 05A Mathematics 1 (Half unit)
DATE : 27
Mathematics 1 : 2004 Zone B Exam
Prepared by Dr Phil Stephenson (May 2008)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
The functions f(x) and g(x) are given by
f(x) = x2 + 4x + 1 , g(x) = x2 x + 6.
Sketch the graphs of y = f(x
Mathematics 1 : 2003 Zone B Exam
Prepared by Dr Phil Stephenson (May 2008)
Section A (Answer all 7 questions in this section. 60 marks in total)
1.
The supply equation for a good is q = 4p 2 and the demand equation is
q = 2p2 6p + 98, where p is the price
SINGAPORE INSTITUTE OF MANAGEMENT
PRELIMINARY EXAM
05A MATHEMATICS 1
INSTRUCTIONS :-
DO NOT TURN OVER THIS QUESTION PAPER UNTIL YOU
ARE TOLD TO DO SO.
NINE
ELEVEN
TWO
Candidates are strongly advised to divide their time accordingly.
not
Page 1 of 5
SEVEN
SIM
GLOBAL SINGAPORE INSTITUTE OF MANAGEMENT
EDUCATION
PRELIMINARY EXAM 2011
PROGRAMME(S) : University of London Degree and Diploma Programmes
(Lead College: London School of Economics & Political Science)
SUBJECT : 05A Mathematics 1 (half unit)
DATE : Th
SECTION A
Answer all SEVEN questions from this section (60 marks in total)
1
The demand equation for a good is q(p + 4) = 10 and the supply
equation is q p + 5 = 0 where p is the price and q is the quantity.
Sketch the supply and demand functions for p 0.
SINGAPORE INSTITUTE OF MANAGEMENT
PRELIMINARY EXAM
PROGRAMME(S) :
University of London Degree and Diploma Programmes
(Lead College: London School of Economics & Political Science)
SUBJECT
:
05A MATHEMATICS 1
DATE
:
Monday, 05 March 2007
DURATION
:
2 hours
A
_-
SINGAPORE INSTITUTE OF MANAGEMENT
PRELIMINARY TEST
PROGRAMME : (1) Bachelor of Science in Business
(2) Bachelor of Science in Management
(3) Bachelor of Science in Banking & Finance
(4) Bachelor of Science in Accounting and Finance
(5) Bachelor of S
Morgana" SINGAPORE INSTITUTE OF MANAGEMENT
PRELIMINARY EXAM
PROGRAMMI';(S) : University of London Degree and Diploma Programmes
(Lead College: London School ofEconomics & Political Science)
SUBJECT : 05A MATHEMATICS l (HALF-UNIT)
DATE : Tuesday, 26 Februa