the solid obtained by revolving the region bounded by the curves x= sqr root y and x=-y^2 when x=-3. find the volume.
the solid obtained by revolving the region bounded by the curves x= sqr root y and...
1) Find the volume of the solid generated by revolving the region bounded by the curves about the x-axis. Use the disk/washer method and show all work in evaluating the integral y=x", y = x 2) Find the volume of the solid generated by revolving the region bounded by the curves about the y-axis. Use the disk/washer method and show all work in evaluating the integral y=x, y = 8,x=0,
[7.2] Find the exact volume of the solid obtained by revolving the region R bounded by the curve y=3square root 3 and the lines with equations x=1 x=8 and y=0 about the line with equation: I y=0 ii y=3
Find the volume of the solid created by revolving the region bounded by the curves y=x2 and x2+y2= 1 about the x-axis.
Find the volume of the solid obtained by revolving the region bounded by the graphs of the functions about the \(x\)-axis.Hint: You will need to evaluate two integrals. (Assume \(x>0 .\) )\(y=\frac{1}{x}, y=x_{r}\) and \(y=3 x\)By computing the volume of the solid obtained by revolving the region under the semicircle \(y=\sqrt{r^{2}-x^{2}}\) from \(x=-r\) to \(x=r\) about the \(x\)-axis, show that the volume of a sphere of radius \(r\) is \(\frac{4}{3} \pi r^{3}\), cublc units. (Do this by setting up the...
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
(1 point) Book Problem 9 Find the volume of the solid obtained by rotating the region bounded by the curves: 12 6 x ; about y 3x , y = = Volume (1 point) Book Problem 11 Find the volume of the solid obtained by rotating the region bounded by the curves: a2/4 22 ; about x =-3. y = x Volume:
(1 point) Book Problem 9 Find the volume of the solid obtained by rotating the region bounded by...
1. Find the volume of the solid obtained by rotating the region bounded by the following curves about the horizontal line y=-3: y=6-x2,y-2, x = 1.
1. Find the volume of the solid obtained by rotating the region bounded by the following curves about the horizontal line y=-3: y=6-x2,y-2, x = 1.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=2/x, y = 0, x=1, x=3; about y =-1 Sketch the region then on your own sketch the solid, and a typical disk or washer.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=2/x, y = 0, x=1, x=3; about y =-1 Sketch the region then...
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y-7V36-,yo,x,x -2; about the x axis Sketch the region
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y-7V36-,yo,x,x -2; about the x axis Sketch the region
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 = _______