Find the center of gravity of the solid bounded by theparaboloid z = 1 x2 y2 and the

Chapter 14, Problem 44

(choose chapter or problem)

Find the center of gravity of the solid bounded by the paraboloid \(z=1-x^{2}-y^{2} \text { and the } x y \text {-plane, }\) assuming the density to be \(\delta(x, y, z)=x^{2}+y^{2}+z^{2}\)

Equation  Transcription:

text transcription:

z=1-x^2-y^2

Xy-plane

delta(x,y,z)=x^2+y^2+z^2

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