Calculate the volume of the solid generated by rotating the region limited by the graphs of the given equations around the line y=4, use the disk method y=1/(x^2), y=0, x=1, x=4 х

Determine the diameter of a hole that is drilled vertically through the center of the solid bounded by the graphs of the equations z= 25e-(x^2+y^2)/4 , z = 0, and x2 + y2 = 16 if one-tenth of the volume of the solid is removed.

A region R consists of a square bounded by the lines x = −7, x = 7, y = 0, and y = −14and a half disk bounded by the semicircle y = (49-x^2)^(1/2) and the line      y = 0.Find the center of gravity, (x, y), of R.