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Integrate Sin(x)Cos(x)dx.

Integral(Sin[x]Cos[x]dx) can be calculated. The method is to recognise that the trigonometric identity of 2Sin[x]Cos[x]=Sin[2x] can be applied. This would transform the integral into Integral(0.5Sin[2x]) whi...
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Answered by Daniel D. Maths tutor
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What are the two roots of the equation (4x-8)(x-3) = 0?

Since there are two terms multiplying together, when either of them are equal to zero, the total multiplication will also be zero. Ie, 10 x 0 = 0. This means that to find the two roots, we can simply equate ...
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Answered by Daniel D. Maths tutor
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Solve 3x + 6 > 3 - 2x.

3x + 6 > 3 - 2x. Firstly move the numerical terms to one side. 3x + 3 > - 2x. Secondly, move all x terms to the same side. 5x + 3 > 0. Finally, put the numerical and x terms to opposite sides, and d...
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Answered by Daniel D. Maths tutor
3752 Views

How do I know when to use "Akkusativ" or "Dativ"

The word "Dativ" comes from latin "dare", meaning "to give". In German, it's the third grammar case. This case is used when someone directly gives, says or declares something to...
JC
Answered by Jordi C. German tutor
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Explore the characterisation of the three sisters in the opening of the play, ‘King Lear’.

Shakespeare opens King Lear by introducing the audience to the King’s failing health, and his requirement to distribute his wealth and property amongst his three daughters; Cordelia, Goneril and Reagan. The ...
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