Question

Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis. y=4 square root x, y=4 x=0

Answer #1

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 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

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

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 the shell method to find the volume of the solid generated
by revolving the region bounded by the given curves and lines about
the y-axis.
y = x 2 - 4, y = 3x, x = 0, for x ≥ 0

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 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 following
region about the given axis. The region in the first quadrant
bounded above by the curve y=x^2, below the x-axis, and on the
right by the line x=1, about the line x=-4. Use the washer method
to set up the integral that gives the volume of the solid.

Find the volume of the solid generated by revolving the region
about the given line.
The region in the second quadrant bounded above by the curve y =
9 - x^2 , below by the x-axis, and on the right by the y-axis,
about the line x=1.
Please write as legible as possible and thanks for the help.

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.

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