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A straight line equation is defined as y=mx+c where m is the gradient and c is the intercept. Since the gradient is already said to be 3 we can substitute this in to mean the equation for AB is y=3x+c. Si...

5cos³x = 5cosxFirstly -5cosx from both sides and divide through by 5We have:cos³x-cosx = 0We can factorise this:cosx(cos²x - 1) = 0 For this to be true either:cosx = 0 or ...

96mm (a) Express 24 and 32 as prime numbers (explained in interview)(b) Use this to find the LCM (lowest common multiple) (c) Don't forget units!

Firstly list two numbers that add to 6 and right them down e.g. 4 and 2.Secondly list two numbers that multiply to form 8 e.g. 8 and 1 or 4 and 2.The numbers that appear in both solutions will therefore b...

(4-x)^-1/2 = (4 (1 - x/4))^-1/2 = 1/2 (1 - x/4)^-1/2 = 1/2 ( 1 + x/8 + 3x²/128 + ...) = 1/2 + x/16 + 3x²/256 + ...Therefore the first three ter...