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When solving a quadratic equation like this it is useful to write it in the form (x+a)(x+b)=0, as this is simply saying 'two numbers multiplied together equal zero'. A general rule in maths is that whenev...

At first, you might think that it is possible to perform this integral simply by inspection, using the 'backwards chain rule'. This method would consist of adding one to the power, to get cos³(...

First label all the sides with letters:longest side = amiddle length side = bshortest side = cNow convert the question into equation form: "the longest side is two units more than the shortest side&q...

The standard rule for integration is: integrate kx^n dx = kx^(n+1)/(n+1). However, if we try and integrate 1/x in this manner we get, x^0/0, i.e. 1/0, which is infinity. However, if we look at a graph of ...

Prices are: £40 per guest. Total cost reduced by 5% with over 60 guests. 

First, we work out the cost of Nisha's suggestion.

£40 x 70 guests = 2800

To find 5% ...