Let S be the closed surface formed by the hemnisphere x+y +z =a² , zz0, and the x-y plane. Let V be the enclosed volume of the hemisphere. A vector function F is defined as F- 2xz, yz, z Q4. (a) Evaluate the surface integral FindS directly, where n is the outward pointing unit normal vector on S. (b) Evaluate the surface integral in (a) using the Divergence Theorem of Gauss
Let S be the closed surface formed by the hemnisphere x+y +z =a² , zz0, and the x-y plane. Let V be the enclosed volume of the hemisphere. A vector function F is defined as F- 2xz, yz, z Q4. (a) Evaluate the surface integral FindS directly, where n is the outward pointing unit normal vector on S. (b) Evaluate the surface integral in (a) using the Divergence Theorem of Gauss
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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