A fluid has density 900 kg/m³ and flows with velocity v = zi+yj + zk, where x, y, and z are measured in meters, and the components of are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 1-2²2 - y² that lies above the xy plane. kg/s

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A fluid has density 900 kg/m³ and flows with velocity v = zi+yj + zk, where x, y, and z are measured
in meters, and the components of are measured in meters per second. Find the rate of flow outward
through the part of the paraboloid z = 1-2²2 - y² that lies above the xy plane.
kg/s
Transcribed Image Text:A fluid has density 900 kg/m³ and flows with velocity v = zi+yj + zk, where x, y, and z are measured in meters, and the components of are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 1-2²2 - y² that lies above the xy plane. kg/s
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