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This question is an example of integrating to find the area underneath a curve between two points. We begin by intergrating the equation. Firstly, to integrate 3x² we increase the indice/power ...

3:2 means there are 5 parts. So 18 litres can be divided by 5, and the price of each part worked out individuallly.

18 / 5 = 3.6

To work out how much the white paint costs: 3.6 x £2.80 = £10...

Begin by differentiating each term w.r.t x: d/dx(x^3) + d/dx(yx^2) = d/dx(y^2) + d/dx(1). the terms x^3 and 1 are simple enough to start of with: d/dx(x^3) = 3x^2 and d/dx(1) = 0. Next use the chain rule ...

When dealing with questions to do with expanding brackets, you must multiply every term in one bracket with all the others in the second bracket. So for this question, we can see we have 4 terms in total:...

Say you had two equtions to solve simultaneously.

Example 1: x + 5y = -7; 2x - 2y = 10

Multiply one of the equtions so that one of the variables has the same coefficient. In this example, I ...