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Presenting your working out is extremely important because it's makes the examiners jobs easier, keeping them happy.One thing you should aim to do is not write too small, try and use all the space you're ...

Find the positive value of x such that log_x64 = 2
Using the logarithm rules, we know that we can rearrange the given equation into the form:
x² = 64
Knowing this, we s...

First, we need to realise that we will be using the trigonometric identity sin(x)² + cos(x)² = 1
As our goal is to end up with an equation involving only sin, we will therefore ...

F'(x)=3x^2+4x-5
F(x)=(3/(2+1))(x^(2+1))+(4/(1+1)) (x^(1+1))-5(x^(0+1))

Answer: F(x)=x^3+2x^2-5x+c

P(WW) = 5/8 x 4/7 = 20/56

P(BB) = 3/8 x 2/7 = 6/56

P(same colour) = 20/56 + 6/56 = 26/56 = 13/28 (simplified)