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Firstly, I would make sure that the student is aware of the basic conept of logarithims and run through the basic "laws" of logarithims to make sure that they have the knowledge they need to ans...

When you think of a number line, zero lies at the centre and the positive numbers stretch off to the right, while negative numbers go off left. This is a representation of real numbers, i...

This integral must be done using integration by parts. Therefore, we set u=ln(x) and dv=dx, which gives du=1/x and v=x.
Then, using the integration by parts formula the integral now equals x*ln(x)-i...

Two distinct real roots means that we can use b^2-4ac>0 relationship for any ax^2+bx+c equation. Apply the above gives, 4k^2 - 42(k+2)>0 Simplifying gives, k^2 - 2k -4 >0

To find the stationary points of a function we must first differentiate the function. The derivative tells us what the gradient of the function is at a given point along ...