Exercise 1:
Question 1:
Fully expand the following expressions:
1. ( 2 x + 3)( 5 x 2 ) = 10 x 2 + 11x 6
2. ( 2 x + 3 y )( x 2 y ) = 2 x3 xy 6 y 2
3. ( 3 x 2 + 3 y )( x 7 y 3 ) = 3 x3 + 3 xy 21x 2 y 3 21 y 4
4. ( 3 x 2 y + 3 xy )( x + 2 y 3 ) = 3 x3 y + 3

FUNCTIONS AND THEIR APPLICATIONS
MCD2130
Sample Examination
Question & Answer Booklet
READING TIME:
WRITING TIME:
10 minutes
3 hours
Structure of Examination
Section
Number of Questions
to be answered
Total Possible
Marks
Section A
ALL (20)
80
Section B
A

MCD1230
Applied Mathematics
Polynomials
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Copyright Regulations 1969
WARNING
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on behalf of Monash University pursuant to Part VB of the
Copyright Act 1968 (the Act).
Th

MCD1230
Applied Mathematics
Functions & Transformations
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
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on behalf of Monash University pursuant to Part VB of the
Copyright Act 19

MCD1230
Applied Mathematics
Intervals, functions, relations, domain and range
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Copyright Regulations 1969
WARNING
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MCD1230
Applied Mathematics
Circular Functions
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Copyright Regulations 1969
WARNING
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behalf of Monash University pursuant to Part VB of the Copyright Act 1968
(the A

MCD1230
Applied Mathematics
Differentiation of Transcendental
functions
www.monashcollege.monash.edu
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or on
behalf of Monash Universit

MCD1230
Applied Mathematics
Matrices for Transformations
and Inverse Functions
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
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behalf of Monash University pursuant to Part VB

MCD1230
Applied Mathematics
Polynomials
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Copyright Regulations 1969
WARNING
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behalf of Monash University pursuant to Part VB of the Copyright Act 1968
(the Act).
Th

MCD1230
Applied Mathematics
Circular Functions
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or on
behalf of Monash University pursuant to Part VB of the Copyright Act 1968
(the A

MCD1230
Applied Mathematics
Linear functions
and
Matrices
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or on
behalf of Monash University pursuant to Part VB of the Copyright Act

MCD1230
Applied Mathematics
Functions
Transformations
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or on
behalf of Monash University pursuant to Part VB of the Copyright Act 1968

MCD2130
SECTION A ANSWERS
Page: 3 of 33
Section A
(1) Find the slope-intercept form, y = mx + b, of the line which passes through the point
(x, y) = (1, 5) and is perpendicular to the line y = 5 2x.
Solution: The line y = 5 2x which has gradient m1 = 2 th

FUNCTIONS & THEIR APPLICATIONS MCD2130
SOLUTIONS
Sample Examination 2
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MCD1230 Applied Mathematics
Linear functions and Matrices
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Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or
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Linear functions and Matrices
Cartesian plane:
Lines:
y 3 x 1
y 1
Vertical line
Horizontal line
y 2x 3
x3
Curves:
y x2 3
y x3
Gradient/Slope
m
of a straight line:
m
Rise y2 y1
Run x2 x2
B x2 , y 2
Rise
A x1 , y1
Run
Parallel lines:
y mx c1
Perpendicula

MCD 1230
Applied Mathematics
Unit Outline
Produced and Published by:
Monash College Pty. Ltd.
Clayton, Victoria, Australia, 3800
First Published: January, 2004
Revised & Printed: February, 2015
Copyright 2013
NOT FOR RESALE. All materials produced for th

MCD1230
Applied Mathematics
Differentiation of Polynomials, Power functions and Rational functions
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or
on behalf of Monash University

MCD1230
Applied Mathematics
Circular Functions
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or
on behalf of Monash University pursuant to Part VB of the
Copyright Act 1968 (the A

MCD1230
Applied Mathematics
Differentiation of Transcendental functions
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
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on behalf of Monash University pursuant to Part VB of the

MCD1230
Applied Mathematics
Matrices for Transformations
and Inverse Functions
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Copyright Regulations 1969
WARNING
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on behalf of Monash University pursuant to Part VB

MCD1230
Applied Mathematics
Applications of Differentiation
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Copyright Regulations 1969
WARNING
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FUNCTIONS AND THEIR APPLICATIONS
MCD2130
Sample Examination
Question & Answer Booklet
READING TIME:
WRITING TIME:
10 minutes
3 hours
Structure of Examination
Section
Number of Questions
to be answered
Total Possible
Marks
Section A
ALL (20)
80
Section B
A

MCD1230
Applied Mathematics
Circular Functions
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or
on behalf of Monash University pursuant to Part VB of the
Copyright Act 1968 (the A

FUNCTIONS AND THEIR APPLICATIONS
MCD2130
Sample Examination
Question & Answer Booklet
READING TIME:
WRITING TIME:
10 minutes
3 hours
Structure of Examination
Section
Number of Questions
to be answered
Total Possible
Marks
Section A
ALL (20)
80
Section B
A

MCD1230
Applied Mathematics
Integral Calculus
COMMONWEALTH OF AUSTRALIA
Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or
on behalf of Monash University pursuant to Part VB of the
Copyright Act 1968 (the Ac

MCD1230
Applied Mathematics
Exponential and Logarithmic
Functions
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Copyright Regulations 1969
WARNING
This material has been reproduced and communicated to you by or on
behalf of Monash University pursuant to Part VB of the Copyri