Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is the triangular region enclosed by the lines x = 0, y = x, and 2x + y = 6; p(x, y) = 2x² m (x, y) = 6 12 5' 5 ×

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Find the mass and center of mass of the lamina that occupies the region D and has the given density function p.
D is the triangular region enclosed by the lines x = 0, y = x, and 2x + y = 6; p(x, y) = 2x²
m
(x, y)
=
6 12
5' 5
×
Transcribed Image Text:Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is the triangular region enclosed by the lines x = 0, y = x, and 2x + y = 6; p(x, y) = 2x² m (x, y) = 6 12 5' 5 ×
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