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N = ae^bt When N = 20, t = 0. We can substitute this in.20 = ae^{b x 0} ...

So I cant really answer this question over text however, the method would be using partial fractions to split the two fractions into two, then using a binomial expansion, but the indicies will be negative...

Stationary points occur when the gradient is 0 so when dy/dx =0 therefore we need to find dy/dx.By using 'down and decrease', we bring down the power and multiply by the coefficient and then decrease the ...

Lets take 18 and 48 as our two numbers for an example.
Break both down into products of their prime factors using factor trees: 18=3x3x3x2 and 48=3x2x2x2x2.
Write the prime factors as a Venn dia...

We know the rule for differentiation is, multiply by the power reduce the power by one.
Although having several parts this looks confusing we just need to break it down.
4x^3 differentiates to 1...