Question

Use the shell method to find the volume of the solid generated by revolving the region bounded by y=3x-2, y=sqrt.x, and x=0 about the y-axis.

The volume is in cubic units.

Answer #1

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.

Use the shell method to find the volume of the solid generated
by revolving the region bounded by the given curves about the give
line. (a) Graph the region (b) Graph the solid (c) Sketch a typical
shell. (d) Determine the variable of integratoin (e) Draw and label
the radius and height of the shell. Describe their length. (f) Find
the volume.
y = 4x, y = 0, x = 2; revolve about the line x = -3

Use the shell method to find the volume of the solid
generated by revolving the regions bounded by the given curves
about the given lines.
a. The y-axis
b. The line x=4
c. The line x= (-1)
d. The x-axis
e. The line y=7
f. The line y=(-2)
For: y=3x, y=0, x=2

Use the shell method to find the volume of the solid generated
by revolving the plane region about the indicated axis.
1. ? = 1 /2 ?^2 + 1 , ? = 3 , x=0 about the y-axis
2. ? = 4?^2 , ? = 4 , x=0 about the x-axis

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.

Use the shell method to find the volume of the solid generated
by revolving the plane region about the line x = 4.
y = x2
y = 4x − x2

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 = 2ex - 4x, y = 2 - 2x, x = 0, x = 1 about
the x-axis using the most appropriate method.

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