Question

2. (20 marks) A rose by any other name... () (5 arks) The equation for arc length we have seen in lectures is: dr Convert this to an arc length of a curve that is given in polar coordinates (b) (5 marks) Investigate 'rose curves' and summarise what they are. (c) (5 marks) Determine the integral that should be used to determine the arc length of a rose curve and explain why a solution will not be possible (d) (5 marks) Determine the integral that should be used to determine the area of a rose petal and evaluate the area of the curve produced for your favourite rose curve.

Answer 1

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