Inverse trig - Study guides, Class notes & Summaries
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Edexcel AS Pure Maths|2023 LATEST UPDATE|GUARANTEED SUCCESS
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Quadratic Formula 
 
 
 
Domain 
The set of possible inputs for a function. 
 
 
 
Range 
The set of possible outputs of a function. 
 
 
 
Discriminant 
b² - 4ac > 0 then two distinct real roots. 
 
b² - 4ac = 0 then one repeated real root. 
 
b² - 4ac < 0 then a quadratic function has no real roots. 
 
 
 
Types of Lines for Regions 
If y < f(x) or y > f(x) then the curve y = f(x) is not included in the region, and is represented by a dotted line. 
 
If y ≤ f(x) or y ≥ f(x) ...
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Accuplacer Math Terms Accuplacer Math Terms
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Accuplacer Math Terms Accuplacer Math Terms 
 
Accuplacer Math Terms 
 
Define - "origin" 
= (0,0) 
= the point where two axes meet 
Explain - "quadrants" 
= when the two axes (x and y) cross they form 4 quadrants 
Explain what - "the distance" means 
Define - "distance formula" for a line(s) 
= "distance" - the length between two points on a plane - (x1, y1), (x2, y2) 
* does not have to be forming a line 
*distance is ALWAYS positive 
 
= (Distance (d) = "square root" all over - 
[...
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Edexcel A-Level Mathematics - Core Pure Maths
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1.	Order of a matrix	Number of rows by number of columns 2.	Square matrix	Matrix of order NxN 3.	Leading diagonal	Diagonal of matrix from top left to bottom right 4.	Conditions for two matrices to be equal -	must have same order -	each element in one matrix must be equal to the corresponding ele- ment in the other 5.	Matrices which you can't add are...	non-conformable for addition 6.	Matrices which you can't multiply are... non-conformable for multiplication 7.	Matrix...
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MAC1105 Basic College Algebra Complete Questions And Answers For All Blocks.
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Natural numbers - correct answer Counting numbers {1,2,3,4...} 
 
Brackets - correct answer Show it is a set of numbers 
 
Whole Numbers - correct answer Natural numbers with 0 {0,1,2,3,4...} 
 
Integers - correct answer Positive and Negative Whole numbers {...-3,-2,-1,0,1,2,3...} 
 
Rational numbers - correct answer All integers are rational numbers, also repeated and terminating decimals 
 
Irrational numbers - correct answer Any real number that is not rational, ...
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ACT Test Prep Math Concepts 104 Questions with Verified Answers,100% CORRECT
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ACT Test Prep Math Concepts 104 Questions with Verified Answers 
 
 
Undefined - CORRECT ANSWER division by zero; a/bc is ___ if b or c is equal to zero 
 
real number - CORRECT ANSWER number that has a location on the number line 
 
imaginary number - CORRECT ANSWER on the ACT, ___ numbers involve the square root of a negative number; square root of -4 
 
integer - CORRECT ANSWER this is a whole number.. includes negative whole numbers and zero 
 
rational number - CORRECT ANSWER a number that...
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Pure Maths A Level Questions and Answers 100% Pass
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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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How to Succeed in Physics (and reduce your workload) Kyle Thomas, Luke Bruneaux, Veritas Tutors
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How to Succeed in Physics (and reduce your workload) Kyle Thomas, Luke Bruneaux, Veritas TutorsTable of Contents HOW TO SUCCEED IN PHYSICS (and reduce your workload) Introduction............................................................................................. 7 MATH CONCEPTS.................................................................... 8 The ideas behind the symbols................................................................ 9 ALGEBRA...........................................
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Edexcel A-Level Mathematics - Pure Maths
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1.	Gradient	y2-y1/x2-x1 2.	Length of a line	sqrt((x2-x1)^2+(y2-y1)^2) 3.	Midpoint	(x1+x2/2, y1+y2/2) 4.	How do you know if two lines are perpendic- ular? When you multiply the gra- dients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 5.	How do you know if two lines are parallel?	The gradients should be the same 6.	What should you always remember when finding the square roots? The answer cou...
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Calc 1 for Engineering - Class Notes
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70 pages of organized handwritten notes for calc 1. Topics include: 
- polynomials, exponential, logarithmic, trigonometric 
- operations on functions, curve sketching 
- trigonometric identities 
- inverse functions 
- derivatives, rules of differentiation 
- Mean Value Theorem 
- Newton's Method 
- indeterminate forms 
- L'Hopital's rule, applications 
- integrals, approximations 
- Riemann definite integral
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MAA-HL_paper3-practice_26-practice-questions EXTD 123IBDP Mathematics: Analysis and Approaches, Higher Level Paper 3 Practice Questions|ALL ANSWERS CORRECT
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IBDP Mathematics: Analysis and Approaches, Higher Level 
Paper 3 
Practice Questions 
Daniel Hwang 
 
Suggestions and corrections are welcome. 
Updated March 18, 2021 
Question number 
 
1 
2 
3 
4 
5 
6 
7 
8 
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 
2 
5 
2 
6 
Maximum mark 
 
3 
1 
3 
1 
2 
7 24 31 
2 
3 
2 
9 31 
2 
7 26 
2 
3 31 29 
2 
8 23 
2 
5 30 
2 
4 23 32 
2 
4 
2 
3 29 23 
2 
7 
3 
2 
Number & algebra 
Sequences & series 
x x x x x x 
x 
Exponents & logs x x x x 
x 
x x ...
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