Q5. Consider the vector field F(x, y, z)=xi + 2yj + (x² + 4y²) k and the closed surface S made up of two pieces: the paraboloid z = 9 - (x² + y²), with z > 0, and its circular base x² + y² = 9, with z = 0. Use the divergence theorem to calculate the total flux of F across the surface S.
Q5. Consider the vector field F(x, y, z)=xi + 2yj + (x² + 4y²) k and the closed surface S made up of two pieces: the paraboloid z = 9 - (x² + y²), with z > 0, and its circular base x² + y² = 9, with z = 0. Use the divergence theorem to calculate the total flux of F across the surface S.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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