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How do polar coordinate systems work?

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 nee...
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Answered by Alexander M. • Maths tutor
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Use the substitution u = 2^x to find the exact value of ⌠(2^x)/(2^x +1)^2 dx between 1 and 0.

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 currentl...
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Answered by Alexander M. • Maths tutor
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Solve the simultaneous equations to find the values of x and y: 3x + 5y = -4 and 10x - 4y = -34

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 gives: 50x - 20y ...
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Answered by Tutor112326 D. • Maths tutor
5758 Views

Differentiate y =cos^4(x)

Let u = cos xdu/dx = -sin xy = u 4 dy/du = 4u 3 dy/dx = dy/du * du/dx = (4u 3 ) * (-sin x) = 4 cos 3 x * -sin x = -4 cos 3 x sin x
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Answered by Christiyan K. • Maths tutor
5013 Views

How do I know what content will appear on my HAT question 2 when I'm not studying the same periods as anybody else?

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 a ...
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Answered by Evie L. • HAT tutor
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