Question

Please help!!

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

y=6-2x-x^2, y=x+6

(a) the x-axis (b) the line y=3

Answer 1

first set the two equations equal and solve for x to find the points of intersection which will be your limits of integration.

Answer 2

x=-3 and x=0
then the volume will equal pi times the integral from -3 to 0 of the top function squared minus the bottom function squared. the top function is the parabola, the bottom function is the line.