To integrate: raise the power by one, then divide the coefficient by the new power. $\displaystyle\int ax^n \, dx = \frac{a}{n+1}x^{n+1} + C$ Using limits gives the area between the curve and the $x$-axis. Question 1 Integrate the following expressions with respect to $x$
Simple Ratios Worked Example Share £40 in the ratio 3:5 $3 : 5 \quad (8)$ $? : ? \quad (40)$ $sf = 40 \div 8 = 5$ $3 \times 5 = 15, \quad 5 \times 5 = 25$ Question 1 a) Share £20 in the ratio 2:3 b) Share 15cm in the ratio 1:2 c)
Final value = original value $\times$ multiplier$^{\text{(number of years)}}$ Worked Example £1000 is invested at 4% per year for 3 years. Multiplier $= 1.04$ Final value $= 1000 \times 1.04^3 = £1124.86$ Question 1 Find the total value after the given number of years, to the nearest penny.
Percentage change $= \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$ Worked Example Original: 60, New: 72 Percentage change $= \dfrac{72-60}{60} \times 100 = \dfrac{12}{60}\times 100 = 20\%$ increase Question 1 Calculate the percentage change. a) Original: 50, New: 65 b) Original: 80, New: 68 c) Original:
Question 1 Q12 - Edexcel AS-Level Maths Paper 1 June 2018 Question 2 Q12 - Edexcel AS-Level Maths Paper 1 June 2019 Question 3 Q9 - Edexcel AS-Level Maths Paper 1 June 2020 Question 4 Q12 - Edexcel AS-Level Maths Paper 1 June 2021 Question 5 Edexcel AS-Level Maths
Rules of Indices $x^{\frac{1}{n}} = \sqrt[n]{x}$ $x^{\frac{m}{n}} = \left(\sqrt[n]{x}\right)^m$ $x^{-n} = \dfrac{1}{x^n}$ Question 1 Solve each equation. a) $x^{\frac{1}{2}} = 6$ b) $x^{\frac{1}{3}} = 5$ c) $x^{-\frac{1}{2}} = 2$ d)
Question 1 Q4 - Edexcel A-Level Maths Paper 2 June 2018 Question 2 Q11 - Edexcel A-Level Maths Paper 1 June 2019 Question 3 Q5 - Edexcel A-Level Maths Paper 1 June 2020 Question 4 Q13 - Edexcel A-Level Maths Paper 1 June 2020 Question 5 Q15 - Edexcel A-Level
Question 1 Q3 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q4 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q1 - Edexcel A-Level Maths Paper 3 June 2022 Question 4 Q4 - Edexcel A-Level Maths Paper 3 June 2022 Question 5 Q2 - Edexcel A-Level
Question 1 Q1 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q4 - Edexcel A-Level Maths Paper 3 June 2020 Question 3 Q6 - Edexcel A-Level Maths Paper 3 June 2021 Question 4 Q1 - Edexcel A-Level Maths Paper 3 June 2022 Question 5 Q5 - Edexcel A-Level
Here's the final draft: --- ```html Sequences $n$: the position of a term · $a$: first term · $d$: common difference · $r$: common ratio Question 1 Write down the first four terms of each sequence. a) $u_n = u_{n-1} + 4, \quad n > 1, \quad u_1 = 3$ b)
Question 1 Q1 - Edexcel A-Level Maths Paper 3 June 2019 Question 2 Q1 - Edexcel A-Level Maths Paper 3 June 2020 Question 3 Q4 - Edexcel A-Level Maths Paper 3 June 2021 Question 4 Q5 - Edexcel A-Level Maths Paper 3 June 2022 Question 5 Q1 - Edexcel A-Level
Question 1 Q4 - Edexcel A-Level Maths Paper 3 June 2018 Question 2 Q2 - Edexcel A-Level Maths Paper 3 June 2019 Question 3 Q3 - Edexcel A-Level Maths Paper 3 June 2020 Question 4 Q3 - Edexcel A-Level Maths Paper 3 June 2021 Question 5 Q3 - Edexcel A-Level