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'Por' and 'Para' often cause confusion because both can be translated in English as 'for'. The best way I have found to understand this is using the example of presents. Consider the phrase 'I a bought th...

Stationary points occur when f'(x) = 0. To find this, we differentiate f(x) to get f'(x) = 12x^3 - 24x^2. We know that at the stationary points are when f'(x) = 0. so we know that 12x^3 - 24x^2 = 0. We ca...

The theme of power and lack of it is utilised expertly by Shakespeare and made a prominent motivation for the ensemble of characters in the play. It helps give depth to characters, mirror reality and pres...

The preterite and imperfect tenses have different conjugations, which it is necessary to learn by heart. In terms of usage, whilst they both refer to actions that have taken place in the past, they do hav...