Question

A>Set up an integral that calculates the volume of the solid
described below using the washer method. Do **not**
evaluate the integral. f(x) = (x − 1)^2 − 1, x = −1, x = 1, y = 3,
about x = −3

B>Set up another integral that calculates the volume of the
solid from A using the shell method. Again, do **not**
evaluate the integral.

**Include sketches for the following A AND B**

**Please write down the detailed process, thank
you**

Answer #1

A :Set up an integral that calculates the volume of the solid
described below using the washer method. Do not evaluate the
integral. f(x) = (x − 1)^2 − 1, x = 1, y = 3, about x=-3
B:Set up another integral that calculates the volume of the
solid from Problem A using the shell method. Again, do not evaluate
the integral
This is second time post it for me, please fit the logic and
write steps clearly. I appreciate...

1. Compute for the volume by using Disk/Wasker and Shell Method
by rotating the region below around the y-axis.
y = √x, x = 2y
(a) Set up the integral using the Disk/Washer Method. Do Not
Evaluate the integral.
(b) Set up the integral using the Shell Method. Do Not Evaluate
the integral.

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

Set up an integral to find the volume of solid obtained by
rotating about the given axis, the region bounded by the curves
y=2x and x= sqrt 2y. Sketchh!! Axis - Y axis (Washer and Shell)

Set up the integral (do not evaluate) to find the volume of the
solid generated by revolving the region about the line x=5.
The region is bounded the graphs x=y^2, x=4
Use the disk and shell methods.

Using any method, SET UP, but do NOT evaluate, an integral
representing the volume of the solid obtained by rotating the
region bounded by the curves y = 1 x , y = 0, x = 1, x = 3 about
(a) the line y = −1 (b) the y-axis.

Using any method, SET UP, but do NOT evaluate, an integral
representing the volume of the solid obtained by rotating the
region bounded by the curves y = 1/x , y = 0, x = 1, x = 3 about
(a) the line y = −1 (b) the y-axis

Set up (Do Not Evaluate) a triple integral that yields the
volume of the solid that is below
the sphere x^2+y^2+z^2=8
and above the cone z^2=1/3(x^2+y^2)
a) Rectangular coordinates
b) Cylindrical
coordinates
c) Spherical
coordinates

Sketch the graph. Set up (DO Not Evaluate) an integral for the
volume of the solid that results when the area bound by y=2x-x^2
and y= 0 is revolved about the y axis.

Use a detailed analysis to set up but not evaluate an integral
for the volume Z of the solid generated by revolving the region
bounded by the curves 2x = y^2, x = 0, and y = 4 about the
y-axis.

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