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- https://math.libretexts.org/Courses/Georgia_State_University_-_Perimeter_College/MATH_2215%3A_Calculus_III/15%3A_Multiple_Integration/Triple_Integrals_(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.
- https://math.libretexts.org/Courses/Misericordia_University/MTH_226%3A_Calculus_III/Chapter_15%3A_Multiple_Integration/4.11%3A_Triple_Integrals_(Exercises)If the charge density at an arbitrary point (x,y,z) of a solid E is given by the function \rho (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 \rho (x,y,z), then the total charge inside the solid is defined as the triple integral \displaystyle \iiint_E \rho (x,y,z) \,dV. 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.
- https://math.libretexts.org/Courses/Montana_State_University/M273%3A_Multivariable_Calculus/15%3A_Multiple_Integration/Triple_Integrals/Triple_Integrals_(Exercises)If the charge density at an arbitrary point (x,y,z) of a solid E is given by the function \rho (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 \rho (x,y,z), then the total charge inside the solid is defined as the triple integral \displaystyle \iiint_E \rho (x,y,z) \,dV. 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.