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Para is usually used to imply a consequence to an action, a destination or recipients of an action.  Por on the other hand is used for time duration, and travel means. 

The answer is P^7 because p is the same in both numbers and their powers need to be added up

Using the question, first use de Moivre's theorem to say (cos x + i sin x)^5 = cos 5x + isin 5x. Now we can use a binomial expansion on the RHS to say 

cos 5x + isin 5x = cos⁵ x + 5i cos...

Shakespeare's, 'Othello' follows a defiant love story which ends in tragedy as the eponymous protagonist succumbs to the, 'green eyed monster' in place of his trust in Desdemona. In a time of romanticised...

integral of cos²(x)*sin(x) we notice that we can use the spot the ball method here: Guessed integral: cos³(x) Differentiated Guessed Integral: -3sin(x)cos²(x), therefore o...