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Let S be the closed surface that consists of the hemisphere x2 + y + zz = 1, z 2 0, and its base x2

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Let S be the closed surface that consists of the hemisphere x2 + y + zz = 1, z 2 0, and its base x2 + yz s 1, z = 0. Let E be the electric field defined by E(x, y, z) = 9xi+ 9yj + 92k. Find the electric flux across S. ( HINT: Break S into two pieces S, and S, and evaluate 1/, E . as and Is E . d's separately. Give this surface an outer normal. X

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