(a)Find the area of region R.(b)Find the volume of the solid generated when R is revolved about the x-axis.(c)The section of a certain solid cut by any plane perpendicular to the x-axis is a circle with the
endpoints of its diameter lying on the parabolas y^2 = x and x^2 = y. Find the volume of the solid.6.An object moves with velocity v(t) = t^2 − 8t + 7.
(a)Write a polynomial expression for the position of the particle at any time t ≥ 0.(b)At what time(s) is the particle changing direction?(c)Find the total distance traveled by the particle from time t = 0 to t = 4.