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A polar coordinate system is just another method to determine a position of a point in space just like the cartesian coordiante system does; which hopefully you are confident with now. At A-level all you ...

First thing to notice here is that this question tells us exactly what method they want us to use, subsitution, and what to substitute. Hence the first step is to turn the integral provided which is curre...

Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this.
3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16
10x - 4y = -34 multiplied by 5 give...

Let u = cos xdu/dx = -sin xy = u⁴dy/du = 4u³dy/dx = dy/du * du/dx = (4u³ ) * (-sin x) = 4 cos ³ x * -sin x = -4 cos ^{3 <...}

The university specifically designs the HAT to ensure that anybody who does some form of history can answer it. Section two on the paper will be deliberately open, so you don't have to worry about knowing...