Hey guys,

Got some challange questions in my book, and they're challanging (for me atleast).

1. Sketch the curvey = x(x-2)^3, showing any stationary points and inflexions.

2. Find the greatest and least values of the functionf(x) = 4x^3 - 3x^2 - 18xin the domain -2 <= x <= 3.

3. Two circles have radiirandssuch thatr + s = 25. Show that the sum of areas of the circles is least whenr = s.

Thanks very much in advance.