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The overarching plot of ‘Pride and Prejudice’ is defined by the constantly fluctuating relationships between characters. Such rapid changes often require the author to substitute character depth in favour...

The passé composé (sometimes called the perfect tense) is used to describe an action in the past which has finished. In order to form this tense there are three parts of the verb-the subject, the auxilary...

What is particularly striking in Chapter 9 of "The God of Small Things" is Arundhati Roy’s narrative technique. She tells the story by merging several different, discernible voices, providing th...

Enzymes are proteins which catalyse (speed up without being used up) biological reactions. Each enzyme will only speed up one reaction as the shape of the enzyme molecule needs to match the shape of the m...

First, recognise that 3^2 = 9. Recall the rule for multiplying indices, that (a^b)^c = a^{bc}. Then, substitute 3^2 in place of 9 to get 3^{4x} = (3^2)^{(x-1)/2}. Use the rule for multiplying indices, so ...