Evaluate the surface integral ]], F 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) = xz i +xj+yk S is the hemisphere x² + y2 + z2 = 9, y ≥ 0, oriented in the direction of the positive y-axis

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Chapter2: Second-order Linear Odes
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JJ 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.
Evaluate the surface integral
F(x, y, z) = xz i+xj+yk
S is the hemisphere x² + y² + z² = 9, y ≥ 0, oriented in the direction of the positive y-axis
Transcribed Image Text:JJ 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. Evaluate the surface integral F(x, y, z) = xz i+xj+yk S is the hemisphere x² + y² + z² = 9, y ≥ 0, oriented in the direction of the positive y-axis
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