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a) Sub y= π/2 into equation, hence x coordinate is 4π^2 b) to find equation of the tangent, differentiate the equation using the chain rule (wrt y) and then substitute the coordinates of p into the differ...

There are several ways to factorise this quadratic expression, but the best way in my opinon is:

1. Take the constant in front of the x^2 and multiply it by the standalone constant (i.e. mul...

The English Civil War was in essence caused by the relationship between the country's King and its parliament, which had detoriorated over the previous decade. Charles has spent the 10 years running up to...

Lets first give the equations names.

4x+y=25 (A)

x-3y=16 (B)

We want to get the equations so that they have either the same number of x's or same number of y's. So let's multiply equa...

First step is to realise that as x=3 is a root of f(x)=0, then we can use (x-3) as a factor of f(x). A really good method to use to find what (fx)/(x-3) gives is Synthetic Division. Using this method we t...