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The region is a right circular cylinder of radius 3, with the bottom at -5 and top at 5. Find the limits of integration on
The region is a right circular cylinder of radius 3, with the bottom at -5 and top at 5. Find the limits of integration on the triple integral for the volume of the cylinder using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 = theta, = phi, and p = rho. Cartesian v = ( p(x, y,z) dy dx dz where A = , B = , C = , D = E = F = and p(x, y, z) = Cylindrical v =/ / p(r,8, z)dr de dz where A = B = C = D = E = F = and p(r, 0, z) =Spherical (which is twice the top half) Hint: Here you must write the volume as the sum of two integrals 0
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