Binomial expansion - Study guides, Class notes & Summaries

2 Section A Answer all questions in the spaces provided. 1 At a point P on a curve, the gradient of the tangent to the curve is 10 State the gradient of the normal to the curve at P Circle your answer. [1 mark] 10 0.1 0.1 10 2 3 x 2 Identify the expression below which is equivalent to 5 Circle your answer. [1 mark] 8x 3 125x 3 125 8 125 8 8x 3 125x 3 Do not write outside the box (02) Jun23/7356/1 3 The coefficient of x 2 in the binomial expansion of (1 þ ax) 6 ...

AQA AS MATHEMATICS 7356/1 Paper 1 Version: 1.0 Final PB/KL/Jun23/E4 7356/1 AS MATHEMATICS Paper 1 Time allowed: 1 hour 30 minutes 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 page. l Answer all questions. l You...

IBDP Mathematics: Analysis and Approaches, Higher Level Paper 3 Practice Questions Daniel Hwang Suggestions and corrections are welcome. Updated March 18, 2021 Question number  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 5 2 6 Maximum mark  3 1 3 1 2 7 24 31 2 3 2 9 31 2 7 26 2 3 31 29 2 8 23 2 5 30 2 4 23 32 2 4 2 3 29 23 2 7 3 2 Number & algebra Sequences & series x x x x x x x Exponents & logs x x x x x x x ...

What is the coefficient of the third term in the binomial expansion of (a + b)^6? - correct answer b: 15 Coefficients of expansions of the 2nd power - correct answer 1,2,1 What is the coefficient of the x^4-term in the binomial expansion of (x + 3)^12? - correct answer d: 12C8(3)8 Coefficients of expansions of the 3rd power - correct answer ...

AS MATHEMATICS Paper 2 Time allowed: 1 hour 30 minutes For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 TOTAL Materials  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  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes ...

At a point P on a curve, the gradient of the tangent to the curve is 10 State the gradient of the normal to the curve at P Circle your answer. [1 mark] ÿ10 ÿ0.1 0.1 10 2 Identify the expression below which is equivalent to 2x   5 ÿ3 Circle your answer. [1 mark] 8x3 125 125x3 8 125 8x3 8 125x3 Jun23/7356/1 Do not write outside the box (02)3 3 The coefficient of x2 in the binomial expansion of (1 þ ax)6 is 20 3 Find the two possible values of a [3 marks] ___________...

Which expression represents the fourth term in the binomial expansion of (e + 2f)10? 10C3(e7)(2f)3 10C3(e7)(f)3 10C4(e6)(2f)4 10C4(e6)(f)4 - correct answer A.) 10C3(e7)(2f)3 Which statement about the simplified binomial expansion of (a + b)n, where n is a positive integer, is true? - correct answer The values of nC0 and nCn are equal to 1. The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volum...

Chapter 03 Mendelian Inheritance Student: ___________________________________________________________________________ 1. The theory of pangenesis was first proposed by ________. A. Aristotle B. Galen C. Mendel D. Hippocrates E. None of these choices are correct 2. Which of the following is correct regarding the blending theory of inheritance? A. It believed that hereditary traits blended from one generation to the next B. It was possible for th...

What is the Binomial Theorem? - correct answer A formula for finding any power of a binomial without multiplying at length. n! - correct answer n! = 1 ‧ 2 ‧ 3... (n-2)‧(n-1)n ex: 4! = (4-2)‧(4-1)4 = 2‧3‧4 =24 How do you find the next row in the Pascal's Triangle? - correct answer Addition. Each number is the number directly about it added together. What is the ...

These notes are in a pdf format. - colour coded - step-by-step examples for each topic The notes cover the topic: Antiderivatives, Mathematical Induction, Binomial theorem, Definite integral & Riemann sums