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Find the area R under the curve when f(x)=xcos(x) between the limits x=0 and x=2

After careful consideration, we can see the function f(x) is the product of two individual functions. Usually, to find the area under a curve we integrate its function between a set limit. Given our situatio...
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Answered by Abraar A. • Maths tutor
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How do you calculate ratios? Example question: 'White paint costs £2.80 per litre, Blue paint costs £3.50 per litre, White paint and blue paint are mixed in the ratio 3:2. Work out the cost of 18 litres of the mixture [4 marks]' AQA Mathematics (8300)

Firstly, we need to calculate how much of the mixed paint is going to be white paint and how much is going to be blue paint. We can do this by looking at the ratio 3:2, if we add up the numbers in the ratio ...
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Answered by Zoe A. • Maths tutor
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p^2 x p^2

p^7
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Answered by Tom S. • Maths tutor
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What is standard form?

Standard form is a convenient way to represent very large or very small numbers. By converting number to standard form, it becomes easier to do simple functions like multiplication or division. A logaritmic ...
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Answered by Morgan H. • Maths tutor
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Expand and simplify: 5(x + 3) - 3(y - 2)

To expand the brackets you need to multiply each item inside with the number on the outside. The first bracket is expanded as follows: 5 x = 5x, 5 3 = 15, therefore 5x + 15. There is a minus sign in front of...
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Answered by Arabella L. • Maths tutor
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