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  • https://math.libretexts.org/Courses/De_Anza_College/Calculus_IV%3A_Multivariable_Calculus/02%3A_Multiple_Integration/2.04%3A_Triple_Integrals/2.4E%3A_Exercises
    If the charge density at an arbitrary point (x,y,z) of a solid E is given by the function ρ(x,y,z), then the total charge inside the solid is defined as the triple integral \(\displays...If the charge density at an arbitrary point (x,y,z) of a solid E is given by the function ρ(x,y,z), then the total charge inside the solid is defined as the triple integral Assume that the charge density of the solid E enclosed by the paraboloids x = 5 - y^2 - z^2 and x = y^2 + z^2 - 5 is equal to the distance from an arbitrary point of E to the origin.

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