Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = -xi – yj + z°k, S is the part of the cone z = x² + between the planes z = 1 and z = 3 with downward orientation

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Evaluate the surface integral
F• dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive
(outward) orientation.
F(x, y, z) = -xi – yj + z³k, S is the part of the cone z =
x2 + v2 between the planes z = 1 and z = 3 with downward orientation
Transcribed Image Text:Evaluate the surface integral F• dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = -xi – yj + z³k, S is the part of the cone z = x2 + v2 between the planes z = 1 and z = 3 with downward orientation
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