Evaluate the surface integralI. 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 = V x2 + between the planes z = 1 and z = 3 with downward orientation

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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 = Vx2 + 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 = Vx2 + v2 between the planes z = 1 and z = 3 with downward orientation
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