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Using indices rules: y^a x y^b = y^(a+b), y^a / y^b = y^(a-b) Simplifying the numerator: b^6 x b^2 = b^(6+2) = b^8 Simplifying the whole fraction: b^8 / b^4 = b^(8-4) = b^4 Fully simplified answer is b^...

Shop A-> Total Price = 30 plants x £2.49 =£74.70 Shop B-> VAT = 20% = 0.2 VAT = 0.2 x £58 = £11.60 Total Price = £11.60 + £58 = £69.60 OR

Total price = 1.2 x £58 = £69.60

Therefore Jes...

Use the method of integration by parts. uv-integral(v.du/dx). Make u equal to ln(x) and dv/dx equal to 1. Therefore v=x and du/dx=1/x. Hence uv=xln(x). And v.du/dx=x/x=1. Substituting these into the 'by p...

Firstly work out (using the sin cos tan triangle and soh cah toa) what cos 30° and tan 60° are equal to so tan 60° = √3 and cos 30° = √3 / 2 then substitute these values into the euqation giving 12 x √3 /...

To solve this question we will use the chain rule, as we can see that we have one function being applied to another, i.e sin is being applied to cos(x).

This means we are able to replace the origin...