Question

Find the centroid using the circular disc method: The volume formed by revolving about Oy the area in the first quadrant bounded by y^2 = 4ax, y=0, x=a.

Answer #1

Find the volume generated by revolving the area in the first
quadrant bounded by the
curve y = e-x when the area is revolve about the line y
= -1 using the circular ring
method.

Using the Shells method, find the volume of the solid generated
by revolving the region bounded by
y = 5 - x, y = 0, x = 0
about the line y = -1.

Using the disk or washer method, find the volume of the solid
generated by revolving the region bounded by y = x 2 + 1 and y = x
+ 3, about the line y = −1.

Determining Volumes by the Disk-Washer Method
1. Find the volume of the solid formed by revolving the region
bounded by the graph of f(x) = √sin(x) and the x−axis from 0 ≤ x ≤
π about the x−axis. [f(x)= square root(sin(x))]

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.

Set up an integral using the shell method to find the volume of
the solid generated by revolving the area bounded by the graphs of
the equations y=1/(x+2) y =0, x = 0 and x=5 about the line x=
-3.Sketch a graph of the region, highlighting your slice

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 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 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.

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