Question

a)
Given the region bounded by y=1/x, x=7, y=7 and rotating around
x=7, find the volume.

b) Find the volume of the solid given by y=2x-x^2, while
rotating around the y-axis.

Answer #1

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
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 of the solid obtained by rotating the region
bounded by y=x^2 and y=2x by
a) the x-axis
b) the y-axis
c) the line x=2

Find the volume V of the solid obtained by rotating the region
bounded by the given curves about the specified line. 2x = y^2, x =
0, y = 5; about the y-axis
sketch the region, sketch the solid

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 by rotating the region bounded y=e^x
x=1 y an x axis anout x=2

Find the volume of the solid obtained by rotating the region
bounded by x = y^2 and x = |y| about the y-axis.?

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.

(1 point) Find the volume of the solid obtained by rotating the
region bounded by the given curves about the specified axis. x+y=2,
x = 3-(y-1)^2 ; about the x-axis.

find the volume of the solid obtained by rotating the
region bounded by rotating the region bounded by the given curves
about the line x=-8.
y=x^2, x=y^2

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