Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.
y = 11√x, y = 0, x = 1; about x = -3
V = _______
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 1 + (y − 5)2, x = 17 2-Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 9
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 7
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 10x - x2 , y= 21; about x = 3 V = _______
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = 3ex, y = 3e-x, x = 1; about the y-axis V = _______
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y=2+r-ra, r+y = 2 V = Sketch the region and a typical shell. (Do this on paper. Your instructor may ask you to turn in this sketch.) Need Help? Read It Master It Talk to a Tutor
5. (25 points) Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y= x2 – 6x + 10, y= – x2 + 6x – 6
10. Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis. Graph the region, the height, and show the radius of a shell on your own paper. Set up integral, do not evaluate. y=x^2, y=0, x=1, x=8, about x=1
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. = x3, y = 27, x = 0 V = Sketch the region and a typical shell. y 301 y 30- 20 20 10 15) DETAIL X - 1 2 3 4 10- -101 -20 -2 2 -301 y 30F 3.0: 25 20: 20 10 15 11G - 1 3 4 10 -10...
Solve using MATLAB. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by y=4-2x, y=0, x=0 about x=-1.