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Problems like this usually look something like: Find the differential of (x² e^2x). The product rule is used when we have to differentiate two different functions multiplied by eachot...

The key word in the question is 'shortest'. The shortest distance from a point to a line is always the perpendicular distance. If we calculate the appropriate angles and lengths/distances, we can use trig...

This question can be treated like a normal binomial expansion question which is commonly seen at A level. The standard binomial expansion is (1+x)ⁿ = 1 + nx + (n(n-1)(x²))/2! where 2...

This will cause eutrophication. Under normal circumstances, nutrients are a limiting factor for algal growth. When the fertiliser leaches into the lake, the excess nutrients will therefore allow algae at ...

HTML, CSS and JavaScript are the building blocks of the internet which are used to build all the websites around. HTML, or Hyper Text Markup Language, defines the layout of a webpage (where the headings g...