A fluid has density 870 kgym 3 and flows with velocity v = z i + y

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A fluid has density 870 kgym3 and flows with velocity v = z i + y2 j + x2 k, where x, y, and z are measured in meters and the components of v in meters per second. Find the rate of flow outward through the cylinder x2 + y2 = 4, 0 < z < 1.

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