//integrals. If a solid is rotated across the x-axis in one case and y-axis in the other, is the volume still the same?

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... the y axis. The first rotated solid was ... the x axis, we would do the same ... the volume of the area rotated around the x axis of
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Positive: 30 %

Solid of Revolution - Finding Volume by ... around the y axis. The first rotated solid was integrated in ... the x axis, we would do the same as ...
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Positive: 27 %

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... a solid of revolution is a solid figure obtained ... (in this case g(y)). The volume of each ... the curve around the x-axis or the y-axis are ...
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Positive: 30 %

Curves can be rotated about the x or y axis and therefore ... about the x axis. Using integration ... its solid form. The volume generated by a ...
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Positive: 25 %

6 Applications of Definite Integrals. ... the x-axis. To find the volume of a solid generated by ... about the y-axis, weuse the same ...
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Positive: 11 %

Calculus (11 ed.Text Book) ... is rotated about the x-axis to ... Rotation About the y-Axis. Find the volume of the solid generated by revolving the ...
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Positive: 10 %

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... found the cross-sectional area and then used the following formulas to find the volume of the solid. ... x-axis about the x-axis ... other than the x ...
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Positive: 30 %

Volumes of Solids of Revolution ... About a Line Other than the x- or y-Axis ... uses one integral to find the volume of the solid. I use two integrals,
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Positive: 29 %

For purposes of this discussion let’s rotate the curve about the x-axis, ... volume of the solid ... case is the distance from the y-axis to ...
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Positive: 24 %

Calculus /Volume of rotation using integrals. Advertisement. ... the basic scheme is the same: A. Find one sample element of ... rotated about the x-axis, ...
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Positive: 17 %

... y=x^2$ and $y=x$ is rotated around the $x$-axis. This solid has a ... rectangle, {but still rotate around the $y$-axis,} ... case that one of the two ...
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Positive: 7 %

the y-axis. b. The Volume of the solid ... Rotation about a line other that one ... then you proceed in pretty much the same way, since you still have a ...
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Positive: 10 %

... about the y-axis rather than the x-axis? ... b is rotated about an axis parallel to the x-axis, ... to y-axis) 5 | Find the volume of the solid using ...
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Positive: 10 %

Find the volume of the solid if every cross section ... the x-axis. the y-axis. ... set up an expression involving one or more integrals that gives the ...
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Positive: 10 %

LINE INTEGRALS 265 5.2 Line Integrals 5 ... represents the volume of the solid above the region Dand below the graph ... Two other integrals can be ...
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Positive: 10 %

... help setting up the integrals I have some portions ... the solid obtained by rotating about the y-axis the ... rotated about x axis to find volume.
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Positive: 10 %

This page covers single volume integrals when an area is rotated ... x-axis rotation. y-axis ... Calculate the volume of the solid by evaluating one of ...
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Positive: 10 %

In figure 9.10 we show the region that is rotated, the resulting solid with the front half cut from MATH 305 at Whitman
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30 %