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This isn't a requirement of many courses but understanding and proving mathematics has order is what makes mathematics unique and enjoyable to many.
Imagine the sum of a seque...

This is a past exam question from an A level paper for OCR Physics B.We know that in one second, a volume of water (V), travelling at 2.5 m/s is passing through an area of 500 metres squared in one second...

Sometimes while integrating, we may come across an expression that is not a polynomial, and thus we cannot use the convenient power rule to integrate. Consider the function y=xcos(x). It is not immedia...

So we want to differentiate y =  4x²ln(x) with respect to y. For this we need to use the product rule.

The product rule is D {f(x)g(x)} = f(x)g'(x) + g'(x)f(x)

We...

 - Barriers to entry, for example patents, restrict the number of competitors in a market. They may be deliberate, e.g. patents, or inherent in the good, e.g. water. Where they are inehrent, a 'natural...