Evaluate the surface integral 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+ y k S is the hemisphere x2 + y2 + z2 = 49, y 2 0, oriented in the direction of the positive y-axis
Evaluate the surface integral 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+ y k S is the hemisphere x2 + y2 + z2 = 49, y 2 0, oriented in the direction of the positive y-axis
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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