Ex 6.8 : A thin plate covers the plane region R bounded by y = x²₁y = √2 - x² and y - axis , and with a density function

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Ex 6.8 : A thin plate covers the plane region R bounded by y = x²₁y = √2 - x² and y - axis , and with a density function

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Ex 6.8 : A thin plate covers the plane region R bounded by y = x²₁y = √2 - x² and y - axis , and with a density function p = xy a- Draw the graph of the plate . b- Find the mass of the body . c- Find the coordinates of the center of mass . d- Find the first and second moments and the radil of gyration . e- Find the average temperature if the temperature distribution through the plate as a function T = = 60ye *
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