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First it’s important to check units, we notice that the dimensions are given in mm. Therefore in order to convert this to m^3 we need to multiply the volume in mm by (10^-3)^3 which gives us 2.64 x 10^-9....

Theory - Two lines on a graph will be parallel if their gradient is the same. The general equation of a line is y = mx + c where y and x are variables, m is the gradient and c is the y intercept. hence if...

This is a very common question as many people tend to not know here to begin in regards to answering most problem solving questions generally. My advice would be to approach the question the way i would; ...

For this question, as we are looking for gf(x) so we first need to plug in our formula for f(x) into the g(x) formula, giving us:
2((x+1)^2 - 1)
We can then expand our squared bracket to get:

We have that y is inversely proportional to x, which we write mathematically as y ∝ 1/x. We need to be able to solve this, so we re-write this expression as an equations, y = k/x, where ...