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This would be on a non-calculator paper and so it wants an answer in the form 2^n as without a calculator it is too difficult to work out. You can only do this multiplication if you change the 8 into 2^3 as ...

Here you need to use the formula that the differential of e^f(x), where f(x) is any function, is equal to f'(x)e^f(x). So for our function we differentiate xsinx using product rule to give sinx + xcosx. By u...

This question requires you to use the trigonometric identity sin(A+B)=sinAcosB + sinBcosA. The difficulty in this problem is noticing that you need to substitute 2A for A+A and then you can simply put this i...

Many sellers in the market - each of whom produce a low percentage of market output and cannot influence the prevailing market price – each firm in this market is a price taker - i.e. it has to take the mark...

The key for a good 30 marker is sticking to the same tried and tested method. Start off by defining any key terms in your introduction and potentially referencing data you may have been given. Then in the he...