Mastering Iteration for GCSE Maths: A Step-by-Step Guide

Aim: To use iteration to find an approximate solution to the equation x² - x - 5 = 0. Step 1: Rearrange the equation to get the iterative form, x² = x + 5.. Step 2: Divide both sides of the equation by x to get x = 1 + 5/x - the iterative form. Step 3: Now write it in this form: x n+1 = 1 + 5/x n Step 4: …

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Starlink: Constellation of satellites that revolutionized broadband internet by reducing latency

The constellation of satellites of Starlink, owned by SpaceX, is already revolutionizing the broadband internet in terms of speed of data transmission, low latency and of course, the possibility of accessing it from anywhere in the world - even in the remotest parts of the world. Since Arthur C Clar…

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How I submitted a Chrome Extension to Google and and got it published in Chrome Web Store in less than 24 hours in 2023...

The creation of a Chrome extension from scratch, submitting it to the Browser Web Store, getting it reviewed - and then, published - in less than 24 hours is something that any aspiring developer can be proud of. I managed to do just that today, on 2 August, 2023 and in this tutorial I am going to e…

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Concave, convex functions and points of inflection

Concave functions If f''(x) ≤ 0 in a given interval of x, the function is said to be concave. Convex functions If f''(x) ≥ 0 in a given interval of x, the function is said to be convex. Point of Inflection The point at which a curve changes being concave to convex or vice versa is called…

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Differentiation: problem solving

Snell's Law When light refracts from one medium to another, the ratio of sine of the angles is equal to the ratio of refractive index of each corresponding medium. Snell's Law implies that light, when refracting from one medium to another, takes the shortest path. We can show by differentiatio…

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Pascal's Triangle in Python for Computer Science: GCSE, IGCSE and A Level

The above simulation is produced in Python with aid of three functions. They are as follows: Factorial function  A function to generate combinations - nCr A function to produce the Pascal's Triangle You can practise it interactively with the following simulation. Please make sure you keep the number…

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Straight Line Graph Generator for Maths Teachers: GCSE, IGCSE, GCE O Level, GCE A Level, A Level

Created with GeoGebra, this applet lets you generate straight line graphs at random, displaying the corresponding equation for each. In addition, you can find a parallel line - and its equation - for each line. Moreover, for each generated line, a random point is created. Then, the perpendicular line…

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