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Write as y=uv u=x v=e^x

du/dx=1 dv/dx=e^x 

Using the product rule, dy/dx=vdu/dx + udv/dx

So dy/dx=e^x(1)+x(e^x...

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Read widely around the question. Research the author/ playwright, historical/ political context and critical opinions on t...

(ii) Air resistance is said to be negligible in the question and since air resistance would be the only horizontal force acting on the jet, the horizontal force is also 0. (1 mark) This results in the hor...

(i) The only force acting on the water jet is gravity which always acts vertically downwards so the force at Y, as well as every point between X and Y, is down.Simply writing "down" would still ...

So we have the equation initially in the form 3^(5x-2)=4^(6-x), and as the solution involves log10, then  a sensible first move would be to take log10 of both sides, giving log10(3^(5x-2)) = log10(4^(6...