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    looool i feel absolutely terrible at maths and it makes me feel even more terrible asking for help constantly because it makes me feel rather dumb. nonetheless i am slightly stuck on yet another question - any help would be greatly appreciated

    i tried to work out what r is equal to and then what theta is equal to and went from there, although i haven't got the right answer and im not too sure what i need to actually do to get this correct

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    You can multiply your expression for r\theta by 0.5r to get

    \frac{1}{2}r^2\theta = 6r - r^2. Hence we may express the area as a function of the radius, namely a quadratic function whose maximum may be found by completing the square.
 
 
 
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