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The imperfect tense is used for continuous, ongoing actions in the past. It is often used for descriptions (when we are 'setting the scene') in the past, and it is used when we talk about things that we '...

Part a:f(x) = 4x^1.5 + 48x^-0.5 - 8^0.5Finding the gradient function, f'(x) = 6x^0.5 - 24x^-1.5At the stationary point, the gradient is zero, so f'(x) = 0...

Firstly, differentiate the equation to find dy/dx.
dy/dx = 20 - 2x - 6x²
As dy/dx represents the gradient, we know that for a stationary point the gradient must be zero, hence for the...

lets expand the first two brackets first, so x * x gives x², x * 2 gives 2x, x * 1 gives x and 1 * 2 = 2. 2x and x are both in terms of x so we add these together to get 3x, giving us the quadr...

It is key that within this essay the main focus is upon who is the dreamer and who is the realist. The character of Gatsby is one that would initially appear as a dreamer; his life-long strive for money a...