AS LEVEL MATHS EDEXCEL CORE STUDY GUIDE

^m)ⁿ = - answer-a^mn (ab)ⁿ = - answer-aⁿbⁿ (n+1)th row of Pascal's triangle gives the - answer-coefficients in the expansion of (a+b)^c √a/b = - answer-√a / √b √ab = - answer-√a x √b A decreasing function will have - answer-a negative gradient at a specific point or over a specific range of points. A definite integral usually produces a - answer-value A point P with coordinates (p, q) has a position vector - answer-- OP = pi + qj + (p q) - AB = OB - OA, where OA and OB are the position vectors of A and B respectively. A unit vector in the direction of a is - answer-a/(/a/) a^-m = - answer-1/a^m a^1/m = - answer-^m√a a^m ÷ aⁿ = - answer-a^(m-n) a^m x aⁿ = - answer-a^(m+n) a^n/m = - answer-^m√aⁿ a⁰ = - answer-1 Adding vectors PQ and QP gives - answer-The zero vector 0: PQ + QP = 0 An increasing function will have - answer-a positive gradient at a specific point or over a specific range of points an indefinite integral always produces a - answer-function An integral between two limits is called a - answer-definite integral Any vector parallel to the vector may be written as - answer-lamnar(a), where lamnar is a non-zero scalar. Area of a triangle (trig) - answer-1/2absinC Assumptions - answer-what you accept without knowing to be true Asymptote - answer-line which the graph approaches by never reaches base - answer-number subject to the index Binomial estmiation - answer-It is often useful to find simple approximations for complicated functions. You can sometimes ignore large powers of x to approximate a function or estimate a value. Binomial expansion is - answer-(n r) = nCr = n!/(r!(n-r)!) Binomial expansion is also known as - answer-expansion in ascending powers of x Calculate gradient m - answer-(y2-y1)/(x2-x1) Circumcentre - answer-the point of intersection of the three right bisectors of the sides of a triangle Circumcir