4. Consider the region in the first quadrant bounded between the x-axis, the y-axis, and the curve VI + vỹ = 1. Calculate the volume of the solid of revolution obtained by rotating this region around the line x = 3. Do this in two different ways: (a) ...integrating with respect to x. (b) ...integrating with respect to y Answer: 147/15.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given curves are:                                                       y = 3xy=0x=1x=3

Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

A: Suppose a region is enclosed by two curves y=fx and y=gx. To calculate the volume of the region…