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Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first equ...
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Answered by David S. • Maths tutor
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There are 200 students in Year 10 110 are boys. There are 250 students in Year 11 140 are boys. Which year has the greater proportion of boys? (Taken from Nov 2014 AQA Unit 2)

To work this out we need to calculate the percentage of boys in year 10 and year 11. Then we can compare them to find which year has the greater proportion of boys.For Year 10 there are 110 boys out of 200 s...
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Answered by David S. • Maths tutor
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a) You area told that y is proportional to x2 and that when y = 75, x = 5. Find a formula for y in terms of x. y = x b) Find the value of y when x = 3. c) Find the value of x when y = 1200.

a) y is proportional to x^2, when x is 5, y is 75 Therefore: 75 = (something multiplied by) 5^2 75 = 3 x 25 Hence y = 3x^2 b) y = 3 multiplied by 3^2 = 27 c) 1200 = 3x^2 1200/3 = x^2 400 = x^2 Undo the squar...
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Answered by Kezia M. • Maths tutor
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Dipen and Nisha are planning their wedding reception. Nisha says, “I want to invite 70 guests.” Dipen says, “If we invite one-fifth fewer guests, we will save more than £500” Is Dipen correct? (Taken from Nov 2014 AQA Unit 2)

Need to calculate two things in order to answer the question: 1) Total cost of Nisha's 70 guests. 2) Total cost of Dipen's 'one-fifth fewer' guests. For Nishen: Total cost = £40 * 70 minus the 5% reduction =...
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Answered by Alex N. • Maths tutor
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Differentiate y=x*ln(x^3-5)

We can immediately see that more than differentiation rule will be needed here. The expression in question is the product of two smaller expressions, so the product rule may be useful. But to apply the produ...
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Answered by Nat N. • Maths tutor
7268 Views