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Equate gravitational force (GMm/r^2) to centripetal force (mv^2/r). Rearrange to get v^2=GM/r. Due to the approximated circular orbit v=2pir/T so v^2=4pi^2r^2/T^2. Therefore GM/r=4pi^2r^2/T^2. Rearranging gi...

In your essay answers, your analysis should work at two levels. Firstly you should be 'zooming in' to analyse the text at an individual word level. Look for individual word choices and consider why the text ...

Examiners look for your essay to have a clear running argument throughout, and every point you make should be contributing obviously to your line of argument. Use your introduction to set up your argument. L...

Use the method of integration by parts. uv-integral(v.du/dx). Make u equal to ln(x) and dv/dx equal to 1. Therefore v=x and du/dx=1/x. Hence uv=xln(x). And v.du/dx=x/x=1. Substituting these into the 'by part...

When writing an essay, you need only say what is necessary. Waffling can lead to confusing your point and losing precious marks! My first tip would be to make a clear plan when beginning writing; note your k...