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In statistics, what is the benefit of taking a sample survey rather than a census?

Taking a sample survey is quicker, cheaper and easier to carry out than a census.

Answered by Emma G. • Further Mathematics tutor

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How does proof by induction work?

A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).

'Find the first derivative, with respect to x, of arctan(1/x) for non-zero real x. Hence show that the value of arctan(x)+arctan(1/x) is constant for all non-zero x, explicitly stating this constant in your final answer.' How do I solve this?

I'm struggling with an FP2 First-Order Differential Equations Question (Edexcel June 2009 Q3) and the topic in general!

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