'[[" 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) = xyi+yzj + zxk, S is the part of the paraboloid z = 6x² - y² that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation Evaluate the surface integral

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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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) = xyi + yzj + zxk, S is the part of the paraboloid z = 6 - x² - y² that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation
Evaluate the surface integral
Transcribed Image Text:[/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) = xyi + yzj + zxk, S is the part of the paraboloid z = 6 - x² - y² that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation Evaluate the surface integral
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