Let R be the region bounded by the following curves: y = 3x, x = 8, y = 0.
A) Find the area of the region R
B) Determine the centroid of the region R
C) Evaluate the line integral of a vector field over the curve y = 3x from (0,0) to (8,24)
D) Calculate the volume of the solid obtained by revolving the region R about the x-axis