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Find the mass and center of mass of a wire in the shape of the helix $x=t, y=\cos t, z=\sin t, 0 \leqslant t \leqslant 2 \pi,$ if the density at any point is equal to the square of the distance from the origin.

$\left(\frac{6 \pi^{3}+3 \pi}{4 \pi^{2}+3}, \frac{12}{6+8 \pi^{2}}, \frac{-12 \pi}{6+8 \pi^{2}}\right)$

Vector Calculus

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Johns Hopkins University

Oregon State University

Harvey Mudd College

Baylor University

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