Got some challange questions in my book, and they're challanging (for me atleast).
1. Sketch the curve y = x(x-2)^3 , showing any stationary points and inflexions.
2. Find the greatest and least values of the function f(x) = 4x^3 - 3x^2 - 18x in the domain -2 <= x <= 3.
3. Two circles have radii r and s such that r + s = 25. Show that the sum of areas of the circles is least when r = s.
Thanks very much in advance.