Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x 2 , y = 1 about y = 6.

Answer #1

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1- Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
?= 64x− 8x^2, y=0;
about the y-axis
2- Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
y= 5+ 1/x^2, y= 5, x=2, x=9;
about the x-axis.

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...

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line.
a) y = sin x − 2(x − 1)2 + 2(π − 1)2 , y =
0, about the x axis.

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
y=0,y=cos(4x), x= π/8, x=0 about the axis y=−2

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
y=0, y=cos(2x), x=π/4, x=0 about the axis y=−1

find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line. y=sqrt x-4 ,
y=0 and x=9 rotated about the x axis

Find the volume V of the solid obtained by rotating the region
bounded by the given curves about the specified line. y = x − 1 , y
= 0, x = 6; about the x-axis

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis
?+?=3,?=4−(?−1)2;

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
?=1/?^2, ?=0, ?=3, ?=8; about ?=−5

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

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