Find the absolute maximum and minimum values of the function f given by
f (x) = cos2 x + sin x, x ∈ [0, π]
12 Show that the altitude of the right circular cone of maximum volume that can be
inscribed in a sphere of radius r is 4
3
r 13 Let f be a function defined on [a, b] such that f ′(x) > 0, for all x ∈ (a, b)