The function f(x) = 2 sin x + sin 4x is graphed above.(D) Since f(0) = f(π) and f is both continuous and differentiable, Rolle’s
Theorem predicts at least one c in the interval such that f ′(c) = 0.
There are four points in [0,π] of the calculator graph above where the
tangent is horizontal.(B) Since , a positive constant, , where c is
a positive constant. Then , which is also positive.(D) If Q(t) is the amount of contaminant in the tank at time t and Q 0 is
the initial amount, then