Question

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* =
4

Answer #1

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
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
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

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 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...

Use the method of cylindrical shells to find the volume of the
solid obtained by rotating the region bounded by x = − 3 y 2 + 12 y
− 9 , x = 0 about the x-axis.

Use cylindrical shells to find the volume of the solid obtained
by rotating the region bounded on the right by the graph of
g(y)=9√y and on the left by the y-axis for 0≤y≤8, about the x-axis.
Round your answer to the nearest hundredth position.
V=?

1. Use cylindrical shells to find the volume of the solid
generated when the region enclosed by the given curves is revolved
about the x-axis.
a.) x = 4y^2 - y^3 and x=0
b.) y= x^2 ,x = 1 and y= 0
2. Use cylindrical shells to find the volume of the solid
generated when the region enclosed by the given curves is revolved
about the y-axis.
c.) y =e^x , y=e^-x and x = 1
d.) y = x^3...

Use the method of cylindrical shells to ﬁnd the volume of the
solid obtained by rotating the region bounded by the circle x2 +
(y−2)2 = 1 about the x-axis.

Using the Method of Cylindrical Shells, find a definite integral
that gives the volume V of the solid S obtained by rotating the
region R bounded by curves: y=sqrt[x] ,and y=0 about the
x-axis.
There is a 3rd line at x=4

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