Question

A
solid of revolution is generated by rotating the region between the
y-axis and the graphs of g(y)=y2+2y+2, y=−3, and y=0 about the
y-axis. Using the disk method, what is the volume of the
solid?

Answer #1

Find the volume of the solid of revolution formed by rotating
the region about the y-axis bounded by y2 = x and x =
2y.

Find the volume of the solid generated by rotating the region
bounded by the graphs of the equations about the line y=5
y=1/3x2-1/3, y=5, x=0

Find the volume of the solid of revolution formed by rotating
about the x-axis the region bounded by the curves
f(x)=4x^2
y=0
x=1
x=2
___
What is the volume in cubic units? (Exact answer using
π as needed)

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.

1. Find the area of the region between the curves y = x - 1 and
y2 = 2x + 6 .
2. Find the volume of the solid of revolution formed by rotating
the region about the y-axis bounded by y2 = x and x =
2y.

3. Find the volume of the solid of revolution. The region is
bounded by y= 4x and y = x^3 and x ≥ 0.
a) Make a sketch.
b) About the x axis (disk/washer method).
c) About the x axis (cylindrical shells).
d) About the y axis (disk/washer method).
e) About the y axis (cylindrical shells).

Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
y = 5x4, y = 5x, x ≥
0; about the x-axis
Find the area of the region enclosed by the given curves.
y = 3 cos(πx), y = 12x2 −
3
Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
2x = y2, x = 0, y =
5; about the...

1) Find the volume of the solid obtained by rotating the region
enclosed by the graphs about the given axis. ?=2?^(1/2), y=x about
y=6 (Use symbolic notation and fractions where needed.)
2) Find the volume of a solid obtained by rotating the region
enclosed by the graphs of ?=?^(−?), y=1−e^(−x), and x=0 about
y=4.5.
(Use symbolic notation and fractions where needed.)

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