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Advanced MathQ&A LibraryGiven F = xi - yj, find the value of ∬F • n dS over the closed surface bounded by the planes z = 0, z = 1, and the cylinder x2 + y2 = a2, where n is the unit outward normal, by direct calculation. (Hint: The element of area is dS = a dθ dz in cylindrical coordinates on the curved surface.)Start your trial now! First week only $4.99!*arrow_forward*

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Given **F** = x**i** - y**j**, find the value of ∬**F** • **n** dS over the closed surface bounded by the planes z = 0, z = 1, and the cylinder x^{2} + y^{2} = a^{2}, where **n** is the unit outward normal, by direct calculation. (Hint: The element of area is dS = a dθ dz in cylindrical coordinates on the curved surface.)

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