Calculus Answers

Use the method disks/rings to determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis of y=2x+1, x=4 and y= 3 about the line x=-4.

Find the area that is inside r=4-2cos∅ and the outside r=6+2cos∅.

Find the area inside the inner loop of r=3-8cos∅.

Determine the area of the region bounded by the given set of curves y=x√x^2 +1, y=e^-1/2, x=-3 and the y-axis.

Determine the area of the region bounded by the given set of curves y=x^2+2, y=sin(x), x=2.

Find the area bounded by the curves y=4/x^2, x-2y+7 and x=4.

Find the center of mass for the triangle with vettices (0,0), (-4,2) and (0,6).

Rotate the region bounded by x=y^2-4 and x=6-3y about the line y=-8.

Rotate the region bounded by x=y^2-6y+10 and x=5x about the y-axis.

Find the area of the region bounded by y=3-e^-x, the x-axis, x=2 and the y-axis.