Question: A fluid has density 5 and velocity field v = -yi + xj + 5zk. Find the rate of flow (the flux of density

A fluid has density 5 and velocity field v = -yi +

A fluid has density 5 and velocity field v = -yi + xj + 5zk. Find the rate of flow (the flux of density times velocity) outward through the sphere x? + y + z? = 16. Hint: Hint: Apply the divergence theorem to the local mass flux vector field (the density times the velocity vector field), and use the fact that the density is constant.

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