2. Using cylindrical shells find the volume of generated by the following bounded region rotated about...
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 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 given curves about the specified axis. y = 11√x, y = 0, x = 1; about x = -3 V = _______
2. Set up an integral to find the volume of the solid generated when the region bounded by y = 2x2 and y = x3 is (a) Rotated about the x-axis using shells (b) Rotated about the x-axis using washers (c) Rotated about the y-axis using shells (d) Rotated about the y-axis using washers (e) Rotated about the line x = −3 (f) Rotated about the line y = −2 (g) Rotated about the line y = 11 (h) Rotated...
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
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.
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
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 = _______
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