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New Advanced Higher Mathematics: Formulae Green (G): Formulae you must memorise in order to pass Advanced Higher maths as they are not on the formula sheet. Amber (A): These formulae are given on the formula sheet. But it will still be useful for you to memorise them.

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Page two FORMULAE LIST Circle: The equation x2 2+ y + 2gx + 2fy + c = 0 represents a circle centre (-g, -f) and radius gf22+− c. The equation (x - 2a) 2+ (y - b)2 = r represents a circle centre (a, b) and radius r.Scalar Product: a.b = |a||b| cos q, where q is the angle between a and b a.b = a 1 b 1 + aor 2 b 2 + a 3 b 3 where a =. Trigonometric formulae: sin (A ± B) = sin A cos B.

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Then, the distance is calculated using the formula: d 6 L :3 64 ; L9 E16 L25 We get d 625, so d √25 L𝟓 If we define two points generally as (x1, y1) and (x2, y2), then the 2-dimensional distance formula would be: distance L ¥ :x 6x 5 ; 6 E :y 6y 5 ; 6. Midpoint - To obtain the value of the midpoint in two or more dimensions, add the

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8 Pearson Edexcel Level 3 Advanced Subsidiary and Advanced GCE in Mathematics and Further Mathematics Mathematical Formulae and Statistical Tables Issue 1 uly 2017 Pearson Education Limited 2017 Standard deviation Standard deviation =√ (Variance) Interquartile range = IQR = Q 3 - Q 1 For a set of n values x 1, x 2, . . . x i, . . . x n S xx.

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ad = ! bc Properties of Exponents xnxm = xn+m (xn)m xnm = (xy)n = xnyn n n 1 m x m

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Definitions and Formulas for Advanced Mathematics LOGIC ALGEBRA a → b a implies b i = -1 imaginary unit a ↔ b a if and only if b z complex conjugate of z a ∧ b a and b A-1 inverse of matrix A a ∨ b a or b ~a not a A ∪ B A union B A ∩ B A intersect B A complement of A U universal set { } empty set v vector v SERIES ∞ n=0 arn = a 1 - r for ⏐r⏐ < 1

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0345 279 1000 Centre Enquiries 0303 333 0330 Find SQA Advanced Higher Mathematics past papers, specimen question papers and course specification and important subject updates here.

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Advanced Higher Maths: Formulae Green (G): Formulae you absolutely must memorise in order to pass Advanced Higher maths. Remember you get no formula sheet at all in the exam! Amber (A): You don't have to memorise these formulae, as it is possible to deri ve them from scratch in the exam.

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1.4. Compound interest. kn. FV = PV × 1 + r , where FV is the future value, 100 k PV is the present value, n is the number of years, k is the number of compounding periods per year, r% is the nominal annual rate of interest. SL. 1.5. Exponents and logarithms. x = b ⇔ x = log.

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Advanced Higher Mathematics: Formulae Green (G): Formulae you must memorise in order to pass Advanced Higher maths as they are not on the formula sheet. Amber (A): These formulae are given on the formula sheet. But it will still be useful for you to memorise them.

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FORMULAE LIST Standard derivatives f ( x ) f ′( x ) sin−1 x 1 1 − x 2 cos−1 x − 1 1 − x 2 tan−1 x 1 2 + x 1 tan x sec2 x cot x − cosec2

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Last updated on Jul 11, 2023 Download as PDF Overview Test Series Mathematics is the universal language of logic, patterns, and relationships. It is a discipline that explores the properties and structure of numbers, quantities, shapes, and patterns.

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Title: Mathematics Advanced, Extension 1 and Extension 2 Reference Sheet Author: NSW Education Standards Authority Created Date: 11/12/2018 2:16:34 PM

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Title: Mathematics Advanced, Extension 1 and Extension 2 Reference Sheet Author: NSW Education Standards Authority Created Date: 11/7/2019 1:47:30 PM