Determine if the mean value theorem for integrals applies to the function f(x) = 5 − x2 on the interval the closed interval from 0 to the square root of 5. if so, find the x-coordinates of the point(s) guaranteed by the theorem. no, the mean value theorem for integrals does not apply yes, x equals 10 thirds yes, x equals the quotient of square root of 5 and 3 yes, x equals the quotient of the square root of 15 and 3

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)