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The important part of this question is to really understand what the cosine function looks like, many students will use their calculators to find arccos(0.6) = 53.13 degrees, but not find the other soluti...

Although strictly speaking you get no extra marks for writing out your mathematics clearly and logically, getting into the habit of doing so can help your work in a lot of ways: 1. You ca...

Follow the order of the question-  take 70% of £500 = 7 times 10% of £500 = 7x£50 = £350.

Therefore Edmund has £350.

Bob now has £500-£350=£150. This needs to be split between Bob and George...

The sides of the cuboid are as follows: x, x+1 and x+2. Total surface area of a cuboid is the area of each surface added together. Therefore 2x(x+2)+2x(x+1)+2(x+2)(x+1)= 52 units².

2x²+4x+2x²+2x+2x...

This question is to test integration by parts.  First let u=x² and u'=2x as a result, and v'=e^x and so v=e^x too. Then use the by parts formula to express the integral as x...