Let v(x, y, z) = (-2z, 0, z) represent a velocity field (with units of meters...

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Let v(x, y, z) = (-2z, 0, z) represent a velocity field (with units of meters per second) of a fluid with constant density 4 kg/m³. Let S be the surface of the paraboloid z = a? + y? outward. Find the mass flow rate of the fluid across S. Do not include the unit kg/sec/m2 in the answer. 4 with z < 0 such that S is oriented Let v(x, y, z) = (-2z, 0, z) represent a velocity field (with units of meters per second) of a fluid with constant density 4 kg/m³. Let S be the surface of the paraboloid z = a? + y? outward. Find the mass flow rate of the fluid across S. Do not include the unit kg/sec/m2 in the answer. 4 with z < 0 such that S is oriented