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b) A thin plate has a density \( \rho(x, y)=k \sqrt{x^{2}+y^{2}} \). Find the \( y \)-coordinate o ...
b) A thin plate has a density \( \rho(x, y)=k \sqrt{x^{2}+y^{2}} \). Find the \( y \)-coordinate of center of mass for the plate that is bounded by two circles \( x^{2}+y^{2}=4 \) and \( x^{2}+y^{2}=9 \) in the first quadrant. (8 marks)