3. Find the volume of the solid obtained by revolving the region below y = 4...
Find the volume of the solid generated by revolving the shaded region about the y-axis. T 0.5 x 2 tan X 1.5 The volume of the solid generated by revolving the shaded region about the y-axis is (Type an exact answer, using n as needed.)
Find the volume of the solid generated by revolving the shaded region about the y-axis. T 0.5 x 2 tan X 1.5 The volume of the solid generated by revolving the shaded region about the...
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over the interval -+Sxs- about the x-axis. 4 interval--< x 4 about the x-axis The volume is cubic unit(s). (Type an exact answer, using radicals and t as needed.)
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over the interval...
Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis. 17)x= x=0, between y=- 4 and y = 4 17) 18) bounded by the circle x2 + y2 = 16, by the line x = 4, and by the line y = 4 18) Find the volume of the solid generated by revolving the region about the given line. 19) The region in the first quadrant bounded...
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...
Find the volume of the solid obtained by revolving the indicated region about the given line. (Tip: Making a rough sketch of the region that’s being rotated is often useful.). The region is bounded by the curves x = √ sin y, x = 0, y = 0, and y = π and is rotated about the y -axis.
4. Find the volume of the solid formed by revolving the region bounded by the graphs of y=r3, = 2 and y=1 about the y-axis 5. Find volume of the solid formed by revolving the region bounded by the graphs of y=x, y=1 and x = 2 about the line y = 10 6. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 2(x - 2)2 and y = 2 about...
Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by x = y 1/3, x = 0, y = 27 243 729 5 Π 243 П 811 Find the volume of the solid generated by revolving the shaded region about the given axis. About the x-axis y = 3./sinx o 12.90 3-2-31 o în nata No No No 12 + 9rt
[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
4. Find the volume of the solid generated by revolving the region bounded by the given line and curve about the y-axis. x + y2 +1, x = 2
Question1: (a) Find the volume of the solid obtained by rotating the region bounded by y= ln x, y=1, y=2, x=0; about the y-axis. (b) sketch the region, the solid and a typical disk or washer.