Consider the graphs of y = 3x + c and

y^2 = 6x, where c is a real constant.

a. Determine all values of c for which the graphs intersect in two distinct points.
b. suppose c = -3/2. Find the area of the region enclosed by the two curves.
c. suppose c = 0. Find the volume of the solid formed when the region bounded by
y = 3x and y^2 = 6x is revolved around the x-axis.

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