Set Up, but Do Not Evaluate, the Iterated Integral Giving $x ^ { 2 } + z ^ { 2 } = 9$

question 88

Short Answer

Set up, but do not evaluate, the iterated integral giving the mass of the solid T bounded by the cylinder $x ^ { 2 } + z ^ { 2 } = 9$ in the first octant and the plane $z + y = 3$ having mass density given by $\rho ( x , y , z ) = x y + z ^ { 4 }$

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