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Write y = sinh^(-1)(x) ie x = sinhy. Then writing this in terms of exponentials and multiplying by 2 we will get 2x = exp(y) - exp(-y). Multiply by exp(y) and rearrange to obtain exp(2y) - 2xexp(y) -1 = 0...

You can use estimation to work out the answer to this question. 21.7 × 9.4 is approximately 22 × 10 = 220. The answer will be the option that is closest to 220, which is option D. 

Since there is no further factorisation possible we use the quadratic formula x=[-b±√(b²-4ac)]/2a. From the equation in question we have  a=3, b=-7, c=3. Substituting into the quadratic formula...

Many countries all over the world use censuses to gather information about their population. Questions asked in a census include age, gender, nationality, employment and living situation. A census is usua...

Corries are geological features that are formed through glaciation. The glacier sticks to the sides of the valley and, as it moves, pulls away large chunks of rock in a process known as plucking. During t...