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Firstly, we let y=f(x) so that y=e x-4 . The aim of this question is to find the inverse of y=f(x), and in order to do that, we must rearrange the question so that x becomes the subject of the equation, whic...

The sphere has radius 6 cm. The solid cylinder has a base radius of 3cm and a height of h cm. The total surface area of the cylinder is twice the total surface area of the sphere. Work out the ratio of the v...

completing the square (x+5) 2 -25 -3 =0 (x+5) 2 -28 = 0 (x+5) 2 = 28 x= ±2√7 -5

The easiest way to approach this is by trying to find two numbers which add up to the x coefficient (the number attached before the x) and multiply to the constant (the number on its own). For example...x 2 ...

Differentiation at A level is a method of working out the gradient of curves that aren't straight lines. If you have a function that is non-linear, which means any function that isn't in the form y= mx + c ,...