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Rationalise the denominator of 25/sqrt(5)

In maths when we are asked to re express something we really only have 2 tricks. Multiply by 1, or add Zero. The hard part is finding how to express 1 or zero to suit the problem. For this one we should mult...
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Answered by Sean O. • Maths tutor
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How do I approach an essay?

Don’t panic! Breathe… Don’t let yourself get swept up in a wave of panic and don’t let yourself be consumed by negative thoughts: “I haven’t revised this, I’m going to fail”. Take a (mental) step back, take ...
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Answered by Jamie E. • English tutor
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There is a train A. On the roof of A is another frictionless train B of mass Mb. A mass Mc hangs off the front of A and is attached to the front of B by rope and frictionless pulley. How fast should A accelerate so that B wont fall off the roof of A.

You must carefully draw a diagram. The key to this question is to find from what perspective you should view it. The easiest way is to see that B wants to accelerate due to the weight of C. This is unaffecte...
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Answered by Sean O. • Physics tutor
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Find the indefinite integral tan(5x)tan(3x)tan(2x)

Noticing that tan(5x) = tan(3x+2x) we use the tan compound angle formula to find tan(5x) = (tan(2x)+tan(3x))/(1-tan(2x)tan(3x)) and thus tan(5x)tan(3x)tan(2x) = tan(5x)-tan(3x)-tan(2x). From then we can inte...
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Answered by Sean O. • Maths tutor
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What is a Tierce de Picardie?

A Tierce de Picarie ('Picardy Third') is a surprise major chord at the end of a piece. Whilst the piece is predominantly in a minor mode, the final chord (which will always be the tonic in music of this peri...
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Answered by Harriet W. • Music tutor
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