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A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius $ a $. If the density function is $ \rho (x, y) = kxy $, find the mass and center of mass of the wire.

$$

\left(\frac{2 a}{3}, \frac{2 a}{3}\right)

$$

Vector Calculus

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Missouri State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

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