b) Write the mass in spherical coordinates of the solid bounded above by x+y+z² =1 and below by x+ y=z, if its density varies directly 1 %3D with the square of the distance from the origin. M%=

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A: Centre of mass = x = My/A ,    y = Mx/A A= ∫ab[f(x)]-g(x)dx My =∫ab x[f(x)-g(x)]dx Mx = ∫ab1/2[f2(x)…

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A: A

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A: The solution are next step...

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Q: e mass of the solid bounded below by the c phere z = 6.52 – a? – y² if the density

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Q: Compute the center of mass on a rod of density p(x) = 5x3 + xe 3D5r3 xe- with a E (0, 5).

A: Given: ρx=5x3+xe-x, x∈0,5 We know that center of mass is given by  x¯=∫abxρxdx∫abρxdx      1 , where…