The function has a first derivative given by f'(x) = x(x - 3)^2(x + 1). At what values of x does have a relative maximum?
(A) -1 only
(B) 0 only
(C) -1 and 0 only
(D) -1 and 3 only

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

The value of the expression 16-^3/4 8 1/8 -6 6 1/40 1/64