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In French the past participles of direct verbs have to agree with the gender or number of their object. For example, ‘I saw him’ translates as ‘je l’ai vu’, but ‘I saw her’ as ‘je l’ai vue’, and 'I saw th...

To solve this question, we need to use the chain rule, because the function is too complicated to solve simply by inspection. The chain rule says that dy/dx = dy/du × du/dx, where u is a function of x. In...

When it comes to poetry, before you launch yourself into an essay it is very important to organise your thoughts, even if the poem is as short as one stanza. There are often several things going on at onc...

Straight away we notice that two trigonometric terms on the left hand side have 2x but there are no 2x on the right hand side therefore we realise that this question will require double angle formulae. If...

A particular economy can go through many downturns and upturns in what is called the business cycle. A central bank may wish to dampen these fluctuations by using one of two tools. The first one is changi...