Question

\text { A large metal disk with radius of } 2 \mathrm{~m} \text { has been made. The density of the metal disk is given by } \rho(x, y)=7+5 x

y \mathrm{~kg} / \mathrm{m}^{2} \text {. } \text { A section of the disk from } \theta=0 \text { to } \theta=\pi / 4 \text {, as shown in the figure below. } Determine the mass of the shaded piece. Mass of shaded piece ? (A

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