Finding the volume of a solid

Find the volume of the solid formed by revolving the region bounded by the graphs of y=2x(with just x being squared), x=0, and y=2 about the y-axis.

Find the indefinite integral

Find the indefinite integral of x divided by the square root of x - 1

Find equation of the circle

Find the equation of the circle satisfying the given conditions: Center(2,-1)and goes through (5,3)

Find equation of the line

see attached

Find dy

Please see the attached file.

Monotonicity Theorem

see attached

Concavity Theorem

see attached

Find critical points..

see attached

Area under curve

see attached

Find G of x

see attached