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 = V x2 between the planes z = 1 and z = 2 with downward orientation

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please solve the screenshot. The answer is none of 109pi/15, -109pi/15, 209pi, or -209pi/15. Thanks. 

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 + y2 between the planes z = 1 and z = 2 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 + y2 between the planes z = 1 and z = 2 with downward orientation
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