Excel Fast Track: 50 HSC Exam Tips Maths (2 Unit)

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Pascal Press, 2000 - Higher School Certificate Examination (N.S.W.) - 167 pages
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This book has really good hints that can be useful to you.

Contents

BASIC ALGEBRA AND ARITHMETIC TIP 1 Calculator Display
1
Difficult Factorisation
2
Inequalities Involving Absolute Values
3
Calculator Exercises
4
Percentage Discount Increase Problems
5
Recurring Decimals Solved Both Ways
6
REAL FUNCTIONS TIP 7 Sketching Familiar Functions
7
Domain Range
10
Understanding Rates of Change
52
DERIVATIVE OF A FUNCTION TIP 29 Differentiation Tricks
54
INTEGRATION TIP 30 Using the Trapezoidal Simpsons Rule
56
Integration Tricks 5 8
58
Volumes of Solids of Revolution Formed by Rotating the Area Between Two Curves
60
Finding the Volume Using Simpsons Rule
63
Intergrating Both Sides
65
TRIGONOMETRIC FUNCTIONS TIP 35 Sketching More Difficult Trigonometric Functions
67

Shading Regions Involving Inequalities
11
Functional Notation
13
Adding Functions Together
15
TRIGONOMETRIC RATIOS TIP 12 Harder Trigonometric Problems
17
Bearings
19
THE QUADRATIC POLYNOMIAL THE PARABOLA TIP 14 Quadratic Inequalities
22
The Parabola Completing the Square
24
The Locus of a Parabola Circle Straight Line
26
The Discriminant
28
Quadratic Roots
30
Intersection of a Straight Line with a Parabola
32
SERIES TIP 20 Difficult Arithmetic and Geometric Series
34
PLANE GEOMETRY TIP 21 Geometry Questions 3 6
36
Tests of a Quadrilateral 3 8
38
GEOMETRICAL APPLICATIONS OF DIFFERENTIATION TIP 23 Verifying Points of Inflection
39
A Reliable Method for Sketching Curves
42
Maxima and Minima Problems
46
Sketching the Derivative Function of a Given Curve fx
48
Finding the Number of Solutions by Graphical Means
50
When to Use Radians Instead of Degrees
69
LOGARITHMIC AND EXPONENTIAL FUNCTIONS TIP 37 Index Laws
71
Logarithmic Laws
73
Logarithmic and Exponential Equations
76
Discarding Unreasonable Answers
77
Maximum Displacement Velocity Involving Trigonometric Functions
79
Distinction Between Displacement and Distance
80
Graphical Understanding of Motion Questions
82
PROBABILITY TIP 44 ProbabilityGeneral Hints
86
Constant Changing Probabilities
88
Conditional Probabilities
90
SERIES APPLICATIONS TIP 47 Arithmetic Series Applications
92
Geometric Series Applications
95
Loan Repayments and Superannuation Questions Using a Time Line
97
Series Application in Probability Other Topics
101
Further Review Exercises
103
Worked Solutions to Review Exercises
123
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