MediumMultiple integrals

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.1 Double Integrals, #34 · Multivariable Calculus · Multiple integrals

Find the center of mass

The rectangle with corners $(1, 1), (1, 3), (2, 1), (2, 3)$ has density $ρ (x, y) = x^{2}$ . The moments are $M_{y} = \iint x ρ d A$ and $M_{x} = \iint y ρ d A$ .

Find the center of mass.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.1 Double Integrals, #34

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