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Find the mass of the two-dimensional object. A disk of radius 7 in with density at distance x from origin given by rho ( x ) = √ 10 x

Respuesta :

Answer:

1030.3504 units

Explanation:

Disk radius = 7 inches

Density at distance x = p(x) = [tex]\sqrt{10x}[/tex]

Calculate the mass of the two-dimensional object

M = 2[tex]\pi[/tex][tex]\sqrt{10} * (\frac{2}{5} ) *(7)^{\frac{5}{2} }[/tex] = 1030.3504 units

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