Question

3.

(a) Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations around the x-axis.

? = 0, ? = ? 3 + ?, ? = 1

(b) Find the volume of the solid generated by revolving the region from part (a) around the y-axis

Answer #1

Find the volume of the solid generated by revolving the region
bounded by the graphs of the equations about the
x-axis.
y = 1 / sqrt of (7x+3)
x = 0
y = 0
x = 7

Find the volume of the solid generated by revolving the region
bounded by the graphs of y = e x/4 , y = 0, x = 0, and x = 6 about
the x−axis.
Find the volume of the solid generated by revolving the region
bounded by the graphs of y = √ 2x − 5, y = 0, and x = 4 about the
y−axis.

Find the volume of the generated solid when the region
bounded by the graphs of the given equations is rotated around the
y-axis.
y=√x, x = 3y y = 0

Find the volume of the solid generated by revolving the plane
region bounded by the graphs of y= \sqrt{x} , y=0, x=5, about the
line x=8.
Find the volume using: a) DISK/WASHER Method b) SHELL METHOD

Find the volume of the solid generated by revolving the plane
region bounded by the graphs of y= \sqrt{x} , y=0, x=5, about the
line x=8.
Find the volume using: a) DISK/WASHER Method b) SHELL METHOD

Find the volume of the solid generated by revolving the region
bounded by y = 1sqrtx and the lines y = 2 and x = 0 about:
(a) the x -axis. Volume is
(b) the y -axis. Volume is
(c) the line y = 2 . Volume is
(d) the line x = 4 . Volume is

Find the volume of the solid generated by revolving the region
bounded by y = 2ex - 4x, y = 2 - 2x, x = 0, x = 1 about
the x-axis using the most appropriate method.

Find the volume of the solid generated by revolving the region
bounded by y = sqrt(x) and the lines and about y=2 and x=0
about:
1) the x-axis.
2) the y-axis.
3) the line y=2.
4) the line x=4.

Use shell method to find the volume of the solid generated by
revolving the region bounded by y=4−x, y=2 ,x=0 about x-axis.
Sketch the region.

Find the volume of the solid generated by revolving the region
bounded by y = 2x−x2 and y = x about; (a) the y-axis (b) the line
xr = 1.

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