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(a) The volume V is the region bounded by the planes T = 0, y = 1, y = 1, z = 0 and

 

(a) The volume V is the region bounded by the planes T = 0, y = 1, y = 1, z = 0 and z = 1+ 2r + y. Calculate the triple integral SIl z dv (b) The surface of the hemisphere r + y? + z? = 4, z > 0, is made of a thin metal with density p= 2. Calculate its mass SS p(x, y, 2) dS. (a) The volume V is the region bounded by the planes T = 0, y = 1, y = 1, z = 0 and z = 1+ 2r + y. Calculate the triple integral SIl z dv (b) The surface of the hemisphere r + y? + z? = 4, z > 0, is made of a thin metal with density p= 2. Calculate its mass SS p(x, y, 2) dS. (a) The volume V is the region bounded by the planes T = 0, y = 1, y = 1, z = 0 and z = 1+ 2r + y. Calculate the triple integral SIl z dv (b) The surface of the hemisphere r + y? + z? = 4, z > 0, is made of a thin metal with density p= 2. Calculate its mass SS p(x, y, 2) dS.

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