(1 point) The volume of the solid obtained by rotating the region enclosed by y=e" +...
The volume of the solid obtained by rotating the region enclosed by y=e^(2x)+4, y=0, x=0, x=0.2 about the x-axis can be computed using the method of disks or washers via an integral: with limits of integration a= and b= . The volume is V= cubic units.
(1 point) The volume of the solid obtained by rotating the region bounded by y = x, y = 10x, about the line x = 10 can be computed using the method of washers via an integral v = ["40) dy where a = 0 .b = 10 and A(y) = pily/10^2-pi(sqrty1/2 The volume of this solid can also be computed using cylindrical shells via an integral v = ["avde where a = and A(x) = In either case, the...
DX correct correct correct At least one of the answers above is NOT correct. (1 point) The volume of the solid obtained by rotating the region enclosed by x = 0, y = 1, x = y3 about the line y = 1 can be computed using the method of disks or washers via an integral V= / dx with limits of integration a = 0 and b = Preview My Answers Submit Answers
7. Match the volume of the solid obtained by rotating the region bounded by the given curves about about the given axis to the corresponding integra 1, the region bounded by y-V , х--8 and the x-axis about the x-axis. 2. the region bounded by 8 and the r-axis about the y-axis. 3, the region bounded by y-V , y-2 and the y-axis about the x-axis. 4. the region bounded by V2 and the y-axis about the y-axis. 5, the...
Find the volume (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = Vx – 1, y = 0, x = 2, and x = 5 about the x-axis. Volume =
(1 point) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = sec(x), y = 1, x = -1, and x = 1 about the x-axis. Volume
Find the volume of the solid formed by rotating the region enclosed by y=e^4x+1, y=0, x=0, x=0.3 about the x-axis.
5 pts) Consider the region bounded by the curves y 9, y and r 1 r-+64 If this region is revolved around the x - axis, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation m (a) First of all it can be computed as a single integral h(r)dr where o and This method is commonly called the method of Enter 'DW' for Disks/Washers or 'CS...
(1 point) Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = x2 and y = 4 about the line y = 4. Volume =