Question

Find the volume *V* obtained by rotating the region
bounded by the given curves about the specified axis.

y = 5 sin^{2}x, y = 0, 0 ≤ x ≤ π; about the x−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...

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 V of the solid obtained by rotating the region
bounded by the given curves about the specified line. y = 5 sin(x),
y = 5 cos(x), 0 ≤ x ≤ π/4; about y = −1

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 V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
y = ln(5x), y = 2, y = 5, x =
0; about the y-axis

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 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

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 = 2 + sec(x),
−π
3
≤ x ≤
π
3
, y = 4; about
y = 2
V =
Sketch the region.
Sketch the solid, and a typical disk or washer.

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