1/² F. ds for the given vector field 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) = xzi + xj + yk, S is the hemisphere x2 + y2 + z² = 49, y ≥ 0, oriented in the direction of the positive y-axis Evaluate the surface integral Need Help? Submit Answer X Read It

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
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F(x, y, z) = xzi + xj + yk, S is the hemisphere x² + y² + z² = 49, y ≥ 0, oriented in the direction of the positive y-axis
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16
S
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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.
Transcribed Image Text:Evaluate the surface integral Need Help? 2 F(x, y, z) = xzi + xj + yk, S is the hemisphere x² + y² + z² = 49, y ≥ 0, oriented in the direction of the positive y-axis Submit Answer 16 S Read It 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.
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