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The question gives you a hint on how to go about this question - Factorise!!

1) Factorise the left hand side. Find the two numbers which will add to give -8 and multiply ...

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v².

^{U = cos(x) which differentiates to -sin(x) so u'= -sin(x)}

^{v = x...}

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 ...

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 20...

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 = ...