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

Short Answer

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