Quotient identities - Study guides, Class notes & Summaries

2 © OCR 2023 H640/03 Jun23 = e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, n Jn N n! where Cr = n Cr = K r O = r!^n -rh! L P ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...

SDSU MATH PLACEMENT ASSESSMENT FORMULAS WITH COMPLETE SOLUTIONS 100% 2023/2024 vertex -b/2a domain and range (-∞ ,∞) and brackets for numbers for sure or equal to [ , ] parentheses for < or > or infinity end behavior odd: different- positive: falls left, rises right; negative: rises left, falls right even: same- positive: rises x2; negative: falls x2 polynomial division answer+ (remainder/divison) quadratic formula -b±[√b²-4ac]/2a Vertical asympt...

Substitution 13•n 13•3 13•3=39 N=3 Exponents 5(3)= 5•5•5 Pemdas Parenthesis Exponents Multiplication Division Addition Subtraction Absolute Value The distance from zero on a number line it is always positive |-3|=3 |3|=3 Multiplication and Division with Fractions Positive times positive is positive 4•3=12 Negative times negative is positive -5•-5=25 Negative times Positive is Negative -4•4=-16 Addition and subtraction Pos...

Adding Fractions w/Different Denominators (a/b) + (c/d) = (ad + bc)/bd Subtracting Fractions w/Different Denominators (a/b) - (c/d) = (ad - bc)/bd Comparing Fraction Size: Bowtie Method (a/b) > (c/d) if ad > bc Properties of a Number Between 0 and 1 x^2 < x < √x 3 Common Quadratic Identities Difference of Squares Even/Odd Rules Prime Numbers Less than 100 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71...

The Circle Formula - ANS-(x - a)² + (y - b)² = r² Where (a,b) is the centre and (x,y) is any point on the circle. The Discriminant - ANS-b² - 4ac Where 0 gives a tangent (repeated root); > 0 gives two real roots; < 0 gives no real roots; d²y/dx² > 0 = minimum point SUVAT - ANS-v = u + at s = ut + 0.5at² v² = u² + 2as s = vt - 0.5at² s = 0.5t(u + v) Product Rule - ANS-dy/dx = u(dv/dx) + v(du/dx) Quotient Rule - ANS-dy/dx = (v(du/dx) - u(dv/dx)) / v² Where the ori...

Simplifying algebraic fractions - Factorise the numerator and denominator - Collect like terms Binomial An algebraic expression of the sum or the difference of two terms. E.g. x²-y³ Polynomial A finite expression with more than 2 terms. E.g. 6x²+24x+48 Dividend The base number that is being divided Divisor The number that is dividing into the dividend Quotient The whole number that results after dividing Remainder The number that is left over ...

Edexcel A Level Maths – Pure A+ Graded 100% Verified Natural Numbers ANS: The set of numbers 1, 2, 3, 4, ... Also called counting numbers. Integers ANS: The set of whole numbers and their opposites Z⁺ Z⁺₀ Rational Number ANS: set of all numbers that can be written as a fraction of two integers Q irrational numbers ANS: Numbers that can't be written as a fraction... examples √2 and π Universal Set ANS: A set that includes all the objects being discussed. - Ex...

Compensatory Education Additional educational help given to socially disadvantaged groups to enable them to have equal educational opportunities Comprehensive Education A secondary or middle school that is a state school and does not select its intake on the basis of academic achievement of aptitude. Correspondence Principle A sociological theory that posits a close relationship between social standing and the educational system. Counter-School Culture An anti-school subculture that goes ...

PSY 201 TEST BANK SOLUTION MANUAL 100% PASS Identify the psychologist who is at the forefront of research on memory distortions and one of the most widely recognized authorities on eyewitness memory. - Answers Elizabeth Loftus As you are reading this question right now, you are consciously processing the meaning of the words in which stage of memory? - Answers short-term memory Exactly three years ago today Denise was eating lunch with two friends at a restaurant when a very confused man came...

ACCUPLACER TEST STUDY GUIDE ENGLISH GRAMMER AND USAGE The following list of English Grammar Rules and their Usage Rules are essential for you to know. You must be familiar with these rules if you want to score well in this area of the test. Capitalization 1. Capitalize the first word of a sentence. 2. Capitalize all proper names. Example: Russia, United Methodist Church, Dan Marino. 3. Capitalize days of the week, months of they year, and holidays. Example: The package was mailed on Tue...