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The equation above is an example of a quadratic. The easiest way of solving this is to split the equation into two brackets, allowing you to equal each individual bracket to zero, and so get a value of x....

When you start your A Level, radians can seem very daunting because you've never seen them before and pi seems a very confusing number to use in relation to angles. But trust me, if you embrace radians th...

Firstly differentiate the function V with respect to x (dV/dx)=pi*(40-2r-3r^2). Set dV/dr =0 and solve to find r. Divide both sides by pi and divide both side by -1 so that the r^2 term is positive (I per...

To sketch any modulus function, we begin with the sketch of the function itself, y=ln(x). Notice that the question asks for the graph of y=ln(|x|) and not y=|ln(x)|, this is an important distinction.recal...

We can see that (3x + 7)² is a 'composite function'. We can rewrite this as g(f(x)), where f(x) = 3x + 7 and g(x) = x². As you will have learnt, you will need to use the chain rule f...