Calculate the volume between the parabolid z = 25- (x ^ 2 + y ^ 2) and the sphere x ^ 2 + y ^ 2 + z ^ 2 = 25, the center of the volume coordinates and the moment of inertia with respect to the z-axis in Cartesians

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A: Given that : The curves f(x) = 3x , y = 0, x = 0 and x = 2.

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A: Given:

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Q: 3. y = 4x, y = 2x – 4; about y-axis

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Q: Find the volume of the solid of revolution formed by rotating about the x-axis each region bounded…

A: fx=2-x2,  y=0 Put fx=0, we get 2-x2=0⇒x2=2⇒x=±2 Therefore the parabola fx=2-x2 meets the x-axis at…

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A: Given:

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Q: Find the volume of the solid generated by revolving the region bounded by y = x³,y = 0, x = 2 about…

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