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Mathematics, 14.11.2019 20:31 mads3499

Using cylindrical coordinates, find the mass of an ice cream cone if the waffle cone has equation z = 1/squareroot(x^2 + y^2)^1/2 and the ice cream has equation x^2 + y^2 + (z - 1)^2 = 3 and the density of the entire treat is rho(x, y, z) = 5 - xyz. set up the triple integral of a function g(x, y, z) over the region r hounded below by the cone z = (x^2 + y^2)^1/2 and above by the sphere x^2 + y^2 + z^2 = 4, in cartesian, cylindrical and spherical coordinates.

write the triple integral tripleintegral_w 1/squareroot x^2 + y^2 + z^2 dv in cartesian and spherical coordinates, where w is the bottom half of the sphere of radius 5 centered at (1, 2, 0).
evaluate the integral using spherical coordinates.

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