Find the volume V using disk method of a solid obtained by rotating region bounded by 4x² = 3y, x = 0 and y = 4. Evaluate the radius r of rotation at point y= 2.4
a) V =
b) r(y) =

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.