When to use cosine rule - Study guides, Class notes & Summaries
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Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level QUESTIONS WITH CORRECT ANSWERS
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Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level QUESTIONS WITH CORRECT ANSWERS 
 
Quadratic Formula - ANSWER 
 
Domain - ANSWER The set of possible inputs for a function. 
 
Range - ANSWER The set of possible outputs of a function. 
 
Discriminant - ANSWER 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 - ANSW...
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Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed
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Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed What are the turning point co-ordinates in f(x)=a(x+p)^2 +q (-p,q) 
How many roots are there if the discriminent > 0? Two distinct roots 
How many roots are there if the discriminent = 0? One/repeated root 
How many roots are there if the discriminent < 0? no real roots 
What can we use the discriminent to find? no. of points of intersection 
What does the solution of a pair of simultaneous equations represent? points of...
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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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Pure Maths A Level|2023 LATEST UPDATE|GUARANTEED SUCCESS
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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? 
The answer could...
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CALCULUS FINAL EXAM fully solved & updated
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evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 
 
consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 
 
find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J 
 
an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...
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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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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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AQA A-level MATHEMATICS 7357/2 Paper 2 BEST FINAL Mark scheme June 2022 Version: 1.0 Final Mark Scheme
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A-level 
MATHEMATICS 
7357/2 
Paper 2 
Mark scheme 
June 2022 
Version: 1.0 Final Mark Scheme 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
*226A7357/2/MS* 
 
 
Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in and is the scheme which was used by them in this examination. The...
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ARRT Radiography Exam with 100% correct answers 2024.
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*Study guide for the ARRT exam in radiography.* - answer-*Anatomy and positioning are not covered in this study guide.* 
 
What is a tort? - answer-A violation of civil law. 
 
Torts are also known as ________. - answer-Personal Injury Law 
 
If a patient is apprehensive about being injured, or a radiographer causes fear in the patient, it is known as ________. - answer-Assault 
 
Unlawful touching or touching without consent, harm resulting from physical contact with the radiographer, and imagi...
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers 
 
Derivative Notation 
D(x)f(x) means the derivative wrt x 
With the big bar it means to evaluate at a specific value 
Second derivative is derivative of derivative 
 
 
 
 
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Derivative Rules 
 
 
 
Power rule proof for negative integers 
look at f(x) = x^(-n) as 1/x^n, then use the quotient r...
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