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A Fluid with Density 1,3301,330 Flows with Velocity v=yi+j+zk\mathbf { v } = y \mathbf { i } + \mathbf { j } + z \mathbf { k }

question 46

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A fluid with density 1,3301,330 flows with velocity v=yi+j+zk\mathbf { v } = y \mathbf { i } + \mathbf { j } + z \mathbf { k } Find the rate of flow upward through the paraboloid z=9(x2+y2)3,x2+y236z = 9 - \frac { \left( x ^ { 2 } + y ^ { 2 } \right) } { 3 } , x ^ { 2 } + y ^ { 2 } \leq 36


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