Question

Find the volume *V* of the solid obtained by rotating the
region bounded by the given curves about the specified line.

* y* = 2 + sec(

−π |

3 |

≤ * x* ≤

π |

3 |

, * y* = 4; about

*V* =

Sketch the region.

Sketch the solid, and a typical disk or washer.

Answer #1

sorry I didn't see the part sketch region so I didn't draw it please don't mind

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.

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

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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...

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

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bounded by the given curves about the specified line.
X = 4
X = √y , x =0 , y = 3x + 6

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X=4
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y = ln(5x), y = 2, y = 5, x =
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a) y = sin x − 2(x − 1)2 + 2(π − 1)2 , y =
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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

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