S is the surface defined by x² + y² = 9,0 ≤z ≤ 8. The vector field is F = (1,2, z). Determine the surface integral fF.ds.
S is the surface defined by x² + y² = 9,0 ≤z ≤ 8. The vector field is F = (1,2, z). Determine the surface integral fF.ds.
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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#3. S is the surface defined by \( x^2 + y^2 = 9 \), \( 0 \leq z \leq 8 \). The vector field is \( \mathbf{F} = \langle 1, 2, z \rangle \). Determine the surface integral \(\iint_S \mathbf{F} \cdot d\mathbf{S}\).
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