The function h(x)=x3−3x2−9x+5 is defined on the closed interval [−2,4].
a. (i) Find all stationary points of h that lie in the interval [−2,4].
b. (ii) Classify each stationary point found in part (i) as a local maximum or a local minimum.
c. (iii) Determine the absolute maximum value and the absolute minimum value of h on [−2,4], stating the points where they occur.