Sketching graphs Study guides, Revision notes & Summaries
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
-
- £14.39
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
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Test Bank for Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, 14th Edition Haeussler (All Chapters included)
- Exam (elaborations) • 791 pages • 2024
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Complete Test Bank for Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, 14th Edition by Ernest F. Haeussler, Richard S. Paul, Richard J. Wood ; ISBN13: 9780136963264. (Full Chapters included Chapter 0 to 17)....0.Review of Algebra 
1.Applications and More Algebr 
2.Functions and Graphs 
3.Lines, Parabolas, and Systems 
4.Exponential and Logarithmic Functions 
5.Mathematics of Finance 
6.Matrix Algebra 
7.Linear Programming 
8.Introduction to Probabilit...
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Solutions for Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, 14th Edition Haeussler (All Chapters included)
- Exam (elaborations) • 671 pages • 2024
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Complete Solutions Manual for Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, 14th Edition by Ernest F. Haeussler, Richard S. Paul, Richard J. Wood ; ISBN13: 9780136963264. (Full Chapters included Chapter 0 to 17)....0.Review of Algebra 
1.Applications and More Algebr 
2.Functions and Graphs 
3.Lines, Parabolas, and Systems 
4.Exponential and Logarithmic Functions 
5.Mathematics of Finance 
6.Matrix Algebra 
7.Linear Programming 
8.Introduction to Pro...
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Grade 11 Mathematics (MATH) June Paper 1 and Memo - 2024
- Exam (elaborations) • 15 pages • 2024
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Grade 11 Math June Paper 1 and Memo: 
Total: 100 Marks. 
 
Contents of the exam paper contains the following details: 
 
Solving equations 
Exponential functions 
Algebraic functions 
Parabola 
Asymptotes and sketching graphs 
 
This is a practice paper with memorandum meant to test the student's knowledge, and will not be the same paper written for the exam. 
 
CHR SMI
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Mathematics 114 summaries
- Summary • 80 pages • 2022
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Aesthetic digital concise summaries of all the theory and some examples you need to know for mathematics 114. 
The whole semester's content for mathematics 114 is summarised. 
Self-study: Revision of coordinate geometry & straight lines 
These are topics that you should be familiar with from school. Some students forget some of this material by the time they start their first year, and therefore need to revise them. These topics are all required for Calculus topics later on. 
 
Week 1: Numbers,...
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A-Level Pure Mathematics Formulas – WJEC Questions and Answers 2023
- Exam (elaborations) • 6 pages • 2023
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A-Level Pure Mathematics Formulas – WJEC Questions and Answers 2023 
Completing the Square (Quadratic) 
a(x+B)^2+c 
 
 
 
Quadratic Formula 
x = -b ± √(b² - 4ac)/2a 
 
 
 
The Discriminant 
b^2-4ac 
 
 
 
Two distinct real roots 
b^2-4ac > 0 
 
 
 
One real repeated root 
b^2-4ac = 0 
 
 
 
No real roots 
b^2-4ac < 0 
 
 
 
Factor Theorem 
If (x-a) is a factor of given polynomial P(x), P(a) = 0 
 
 
 
Remainder Theorem 
If given polynomial f(x) is divided by (x-a) and isn't a factor...
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Accuplacer Exam 136 Questions with Verified Answers,100% CORRECT
- Exam (elaborations) • 19 pages • 2023
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Accuplacer Exam 136 Questions with Verified Answers 
 
Define - "ordered pairs" - CORRECT ANSWER = (x, y) 
= a single point on a coordinate plane 
 
Define - "origin" - CORRECT ANSWER = (0,0) 
= the point where two axes meet 
 
Explain - "quadrants" - CORRECT ANSWER = when the two axes (x and y) cross they form 4 quadrants 
 
Explain what - "the distance" means 
Define - "distance formula" for a line(s) - CORRECT ANSWER = "distance" - the length between two points on a plane - (x1...
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Pure Maths A Level Questions and Answers 100% Pass
- Exam (elaborations) • 13 pages • 2023
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Pure Maths A Level Questions and Answers 100% Pass Gradient y2-y1/x2-x1 
Length of a line sqrt((x2-x1)^2+(y2-y1)^2) 
Midpoint (x1+x2/2, y1+y2/2) 
How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 
How do you know if two lines are parallel? The gradients should be the same 
What should you always remember when finding the square roots? T...
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Tutorial Letter 101/3/2022 Pre-Calculus (Engineering) MAT1514 Semesters 1 and 2 Department of Mathematical Sciences
- Exam (elaborations) • 12 pages • 2022
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INTRODUCTION 
Dear Student 
Welcome to MAT1514 Pre-Calculus (Engineering). 
In MAT1514 you have to work independently and motivate yourself to do so regularly to be 
successful. See an example of a study plan further on in this letter. The amount of time you 
study is not important, but how efficient you use that time is very important. 
Because this is a fully online module, you will need to use myUnisa to study and complete the 
learning activities for this module. Visit the website for MAT151...
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