Find the mass and center of mass of the lamina that occupies the region D and has the given density function ?. D is bounded by y = 1 - x^2 and y = 0; ?(x,y) = 7k y m = frac{28}{3}k ( x?, ? ) = ( 0, frac{1}{4} )
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The mass (m) of the lamina is given by the double integral of the density function over the region. In this case, the region is bounded by y = 1x^2 and y = 0, and the density function is p(x, y) = 7ky^2. So, we have: m = ā«ā«_R p(x, y) dA = ā« from 0 to 1 ā« from 0 Show moreā¦
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