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What is the difference between 'por' and 'para'

'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 this ...
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Answered by Ed R. • Spanish tutor
2543 Views

Let f(x) = 3x^4 - 8x^3 - 3. Find the x- values of the stationary points of this function.

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 can f...
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Answered by Yathavan S. • Maths tutor
3691 Views

Discuss the ways in which the theme of Power or Powerlessness is depicted in Macbeth?

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 present...
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6080 Views

What is the difference between the preterite and imperfect tenses in Spanish? When would you use each?

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 have v...
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Answered by Amy T. • Spanish tutor
3002 Views

How do I recognise the difference between a gerund and a gerundive?

There are a few ways that I have taught myself to remember the difference between these, as they can look very similar. A gerund ive is a pass ive adject ive (think of the -ive endings). You can also look fo...
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Answered by Jess J. • Latin tutor
6064 Views