Find the centroid of the region (mathcal{W}) in Figure 15 , lying above the sphere (x^{2}+y^{2}+z^{2}=6) and

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Find the centroid of the region $\mathcal{W}$ in Figure 15 , lying above the sphere $x^{2}+y^{2}+z^{2}=6$ and below the paraboloid $z=4-x^{2}-y^{2}$.

4 2 M 2=4 x 2 x + x +2=6 6

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 22, 2024 11:00 AM

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Find the centroid of the region (mathcal{W}) in Figure 15 , lying above the sphere (x^{2}+y^{2}+z^{2}=6) and

Question:

4 2 M 2=4 x 2 x + y +2=6 6

Step by Step Answer:

The centroid is the point P with the following coordinates barxfrac1V iiintW x d V quad baryfrac1V iiintW y d V quad barzfrac1V iiintW z d V where V i...View the full answer

Calculus

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