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Let us procede by induction:

First case: n=1. Then LHS (left hand side) = 1 and RHS (right hand side) = 1(1+1)/2 = 1. Therefore, we see that the statement is true for n=1.

Now, we carry out ...

Under a unitary constitution, such as the United Kingdom's, decision-making power is centralised in one authority, such as the Westminster parliament. Under a federal constitution, such as the United Stat...

x = ln (sec (2y))

The chain rule states that d/dy f (g (y)) = f'(g(y)). g'(y)

Here g(y) = sec(2y) so g'(y) = 2.sec(2y).tan(2y)

And f(y) = ln (y) so f'(y) = 1 / y

Thus dx/dy = (...

Vaya, vayas, vaya, vayamos, vayáis, vayan

The unseen translation can seem the most daunting part of the exam, especially when you have to deal with Latin poets who miss out words and prepositions all the time! Firstly, I would say that vocabulary...