Question

Use the Washer Method and find the Volume of rotating the region
between *y* = *x*^{2} &
*e ^{x}*, over (2,3).

Answer #1

Use the Shell Method to find the Volume of rotating the area
under y = x2 + 1 over (1,2) about the
x-axis.

Use the method of cylindrical shells to find the volume
V generated by rotating the region bounded by the given
curves about the specified axis.
y = ex, x = 0, y = 7π; about
the x-axis

Use the method of cylindrical shells to find the volume
generated by rotating the region bounded by the given curves about
the y-axis.
y=12x-3x2, y=3x

Use the method of cylindrical shells to find the volume
generated by rotating the region bounded by the given curves about
the y-axis.
y =
4x2, y
= 24x − 8x2

Use the method of cylindrical chills to find the volume
generated by rotating the region bounded by the given curves about
the y-axis. y=x^3, y=0, x=1, x=2

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line, using the
disk/washer method. Sketch the region, the solid, and a typical
disk or washer.

Use the method of cylindrical shells to find the volume
V generated by rotating the region bounded by the given
curves about the specified axis.
y = 11
sqrt(x), y =
0, x =
1; about x = −4

Find the volume of a solid (washer type) created by rotating the
area between the curve y = -x^2 + 10x – 21 and line y = x – 3 about
the x axis. You must show me algebraically how you find the
intersection points of these two functions, then use those points
as your bound of integration.

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis. Your set-up
must include a graph of the region and an example of the rectangle
used or one disk/washer or shell (depending on the method
used).
y = SQRT(x-1) x=5, y=0, about the y-axis

The region is bounded by y=2−x^2 and y=x. (a) Sketch the region.
(b) Find the area of the region. (c) Use the method of cylindrical
shells to set up, but do not evaluate, an integral for the volume
of the solid obtained by rotating the region about the line x = −3.
(d) Use the disk or washer method to set up, but do not evaluate,
an integral for the volume of the solid obtained by rotating the
region about...

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