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The first thing we need to realise that the cost of the trip is going to be split between 5 people (Jill + 4 friends). As they are all sharing the cost of the trip equally, we need to find the total cost ...

This is a quadratic equation and there are three ways to solve one. This question specifies that the answer should be left to three decimal places. This tells you that you can not factorise, as your...

a,y=5xfinding the inverse: x=5y - dividing by 5 (1/5)x=y f^-1(x)=(1/5)x
b,5x(7²+1)=250

We'll apply the quotient rule using "u = ln(x² + 1)" and "v = x² + 1". First we'll need to calculate u' and v'.Using normal differentiation rules, we can see &quo...

y^-1 dy = xcos(x) dx∫y^-1dy = ∫xcos(x) dx ln(y) = ∫xcos(x) dx [using integration by parts to integrate the right hand side] therefore, ln(y) = xsin(x) - ∫sin(x) dxln(y) = xsin(x) + cos...