If a ball is dropped from a height of 60 ft., its position after t seconds is given by the function s(t) = -16t2 + 60. Find the time, guaranteed by the Mean Value Theorem, when the instantaneous velocity of the ball equals its average velocity over the complete fall. (Enter an exact answer.) Provide your answer below: time secondsDefine Q as the region bounded by the function f(x) = A and the line x = 2 in the first quadrant between y = 2 and y = 3. If Q is rotated around the y-axis, what is the volume of the resulting solid? Submit an exact answer in terms of It. Provide your answer below: V = units3For the following left-endpoint Riemann sum, given L\" as indicated, express the limit as n > 00 as a definite integral, identifying the correct intervals. 2\" il 3 L,__ (1+2 ) n2 n i=1 Be sure to include the arguments of any trigonometric or logarithmic functions in parentheses in your answer. Provide your answer below: Ddx