Gradient vectors - Study guides, Class notes & Summaries
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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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AS & A LEVEL PHYSICS 9702 REVISION NOTES WELL ORGANIZED
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1.	1.1 Physical quantities 
b)(1) make reasonable estimate of Fre- quency Of Audible Sound Wave: 
 
 
 
 
 
 
2.	1.1 Physical quantities 
b)(2) make reasonable estimate of The Wavelength, in nm, of Ultraviolet Radia- tion: 
 
 
 
3.	1.1 Physical quantities 
b)(3) make reasonable estimate of The Mass Of The Plastic 30cm Ruler: 
 
 
 
4.	1.1 Physical quantities 
b)(4) make reasonable estimate of Den- sity Of Air At Atmospheric 
 
 
 
 
 
 
5.	1.1 Physical quantities 
b)(5) make reasonable estimate...
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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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NAPRx CNPR Exam WITH 160 Questions and Answers/ NAPSRx Final Exam NAPSRX Test CNRP
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1.	How are drugs sorted into therapeutic groups and classes? 
 
A.	first by the conditions that they are used to treat. and then by their mechanisms of action 
 
B.	first by their mechanisms of action. and then by their therapeutic effects 
 
C.	first by their side effects. and then by their therapeutic effects 
 
D.	first by their toxicity. and then by their effectiveness 
 
2.	Bone marrow transplants... 
 
A.	require that the patient first undergo chemotherapy or radiation to kill the diseased...
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Edexcel A Level Maths (A+ Graded 100% Verified)
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Edexcel A Level Maths (A+ Graded 100% Verified) 
 
Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. ANS: a² = b² + c² - 2bcCosA 
 
Cosine Rule - Know 3 sides. You want an angle. ANS: Cos A = (b² + c² - a²) ÷ 2bc 
 
Sine Rule - Know 2 angles and a side. You want the missing side. ANS: (a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC) 
 
Sine Rule - Know 2 sides and an angle. You want a missing angle. ANS: (Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c) 
 
Midpoint of a...
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Math 475: Partial Differential Equations
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Math 475: Partial Differential Equations 
Shereen Elaidi 
Fall 2019 Term 
Contents 
1 Introduction 2 
1.1 Domains and Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 
1.1.1 What are the main boundary conditions? . . . . . . . . . . . . . . . . . . . . . 3 
1.2 Classification of PDEs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 
2 Diffusion 4 
2.1 Derivation and Setting Up (n = 1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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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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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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FE Other Disciplines Conceptual exam with correct answers 2024.
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What kind of test is depicted by a stress-strain diagram? - answer-tensile test 
 
What term is used for the ratio of stress to strain below the proportional limit? - answer-Young's modulus 
 
What does the impact test measure? - answer-toughness 
 
What is true regarding the ductile-to-brittle transition temperature? - answer-It is important for structures used in cold environments; It is the temperature at which 20 J of energy causes failure in a Charpy V-notch specimen of standard dimensions...
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NAPRx CNPR Exam WITH 160 Questions and Answers/ NAPSRx Final Exam NAPSRX Test CNRP
- Exam (elaborations) • 32 pages • 2023
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1.	How are drugs sorted into therapeutic groups and classes? 
 
A.	first by the conditions that they are used to treat. and then by their mechanisms of action 
 
B.	first by their mechanisms of action. and then by their therapeutic effects 
 
C.	first by their side effects. and then by their therapeutic effects 
 
D.	first by their toxicity. and then by their effectiveness 
 
2.	Bone marrow transplants... 
 
A.	require that the patient first undergo chemotherapy or radiation to kill the diseased...
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