Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 4 + (y - 5)², x = 5

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

A: Given,       y = 9-x2 , y = x+3 about the x-axis

Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x², x = 1, x = 5 and y…

A: If y is given as a function of x, say y = f(x); the volume of the solid obtained by rotating the…

Q: A solid is generated by revolving the region bounded by y = (1/ 2) x2 and      y = 2 about the…

A: The region is bounded by y=12x2 and y=2. We have to find the diameter of the hole.

Q: The region bounded by f(x) = -4x² + 32x + 36, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: fx=-4x2+32x+36, x=0 and y=0. We have to find the volume of solid revolution.

Q: Find the volume of the solid of revolution formed if the area enclosed between y = x, y = (x – 2)'…

A: Volume by Disk method

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: he region bounded by f(x) = - 2x2 + 12x + 54, x = 0, and y = 0 is rotated about the y-axis. Find %3D…

A:

Q: use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Given curve is y=x+2 and y=1. We have to find the volume of the solid generated when the region…

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

A: Solution is given below