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Bounds can be used when a value has been approximated. e.g. The length of a plank of wood is 80cm to the nearest 1cmThe lower bound is the smallest value that would round up to the estima...

This would be a typical B grade GCSE question. Firstly, let's set f(x) to 0 , where now we have 0=2x²-8 . We now need to rearrange to find x. First, move the -8 to the other side of the "=...

If you imaging the equation as ax^2 +bx +cYou multiply the numbers of a and c together. This number then becomes the product of two numbers that either add or subtract to make the number for b.So 12 x 6 i...

Factorising a quadratic basing means 'putting it into 2 brackets'. The standard format for a quadratic equation is:ax^2 + bx + c = 0. You'll usually find that this becomes a lot easier when a=1. As well a...

The equation for the derivative of the natural log is dy/dx = f'(x)/f(x) where f(x) = the contents of the natural log, in this case 3x+2. So, to get dy/dx we first need f'(x), the derivative of f(x). This...