Binomial expansion Study guides, Revision notes & Summaries

area of sector (where θ is in radians) ½r²θ angles in 3D vectors cosθₓ =x/|a| cosθᵧ =y/|a| cosθ₂ =z/|a| this is where vector a makes an angle θ with the x/y/z axis (because x/y/z would be the adjacent and a the hypotenuse) Expanding (a + bx)ⁿ (a + bx)ⁿ = aⁿ(1 + (b/a)x)ⁿ cosine rule a² = b² +c² -2bc cosA rule for parametric integration ∫y dx = ∫(y dx/dt)dt as (dx/dt) x dt would cancel out to give you ∫y dx un...

A-level MATHEMATICS Paper 3 Time allowed: 2 hours Materials  You must have the AQA Formulae for A‑level Mathematics booklet.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the space provided for that questio...

AQA A-level MATHEMATICS 7357/1 Paper 1 Question Paper + Mark scheme [MERGED] June 2022 PB/Jun22/E6 7357/1 (JUN) A-level MATHEMATICS Paper 1 Time allowed: 2 hours Materials l You must have the AQA Formulae for A‑level Mathematics booklet. l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions l Use black ink or black ball-point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this pag...

All lesson notes for the Binomial Expansion - Pure Maths topic, including examples and practice exam questions. I hope this helps!

Binomial expansion summary

Concepts of Genetics, 3e (Brooker) Chapter 3 Mendelian Inheritance 1) The use of crosses between different strains of pea plants was not the first attempt to explain heredity. The theory of pangenesis was first proposed by ________. A) Aristotle B) Galen C) Mendel D) Hippocrates E) None of these choices are correct. Answer: D Section: 03.01 Topic: Mendel's Study of Pea Plants Bloom's: 1. Remember Learning Outcome: 03.01.02 Outline the steps that Mendel followed to make crosses betwe...

College Algebra Final formulas questions and answers 2023 Quadratic Equation Distance Midpoint Formula Slope Slope Intercept Stnd Form of a Circle General Form of a Circle Vertex Formula Testing Symmetry Difference Quotient Compound Interest Formula Compound Interest Formula solved for P Continuously Compound Interest Formula Radioactive Decay Formula Af=Ai(2)-t/h Where Af is Amount Final(at present) is ...

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...

1 Simplify 5a2c 3 #2a4c 5 ^ h - . [2] 2 Find the equation of the line joining the points (-1, 9) and (2, -3), giving your answer in the form y = mx + c. State the coordinates of the points where this line intersects the axes. [5] 3 Find the value of (i) 2 2 4 1 - a k , [2] (ii) 8000 3 2 ^ h . [2] 4 For the following equation, express x in terms of y. y x y x 3 2 2 1 = + + [4] 5 Find the coordinates of the point of intersection of the lines y = 4x + 3 and 3x + 2y = 9. [4] 6 Fi...

Page | 1 Copyright 2022 © McGraw Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. Solution Manual for Concepts of Genetics 4th Edition By RobertBrooker Page | 2 Copyright 2022 © McGraw Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. CONCEPTS OF GENETICS, 4/e ANSWERS TO PROBLEM SETS Chapters 1-24 CHAPTER 1 Note: the answers...