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What is particularly striking in Chapter 9 of "The God of Small Things" is Arundhati Roy’s narrative technique. She tells the story by merging several different, discernible voices, providing th...

Enzymes are proteins which catalyse (speed up without being used up) biological reactions. Each enzyme will only speed up one reaction as the shape of the enzyme molecule needs to match the shape of the m...

First, recognise that 3^2 = 9. Recall the rule for multiplying indices, that (a^b)^c = a^{bc}. Then, substitute 3^2 in place of 9 to get 3^{4x} = (3^2)^{(x-1)/2}. Use the rule for multiplying indices, so ...

Finding f(x) requires integrating the function f'(x), because f(x) is the integral of the given function f'(x). So {integralsymbol} f'(x) dx = {integralsymbol} (3x^2 - 5cos(3x) + 90) dx = x^3 - (5/3)sin(3...

Firstly, let's remember Newton's laws which tell us that in order for something to change direction of motion - like: going around in a circle - a net force needs to be acting on the object. In the case o...