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A Fluid Has Density 1500 and Velocity Field v=yi+xj+2zk\mathbf { v } = - y \mathbf { i } + x \mathbf { j } + 2 z \mathbf { k }

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A fluid has density 1500 and velocity field v=yi+xj+2zk\mathbf { v } = - y \mathbf { i } + x \mathbf { j } + 2 z \mathbf { k } . Find the rate of flow outward through the sphere x2+y2+z2=25x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25 .


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