Let C be the straight line curve between the points (0,9) and (1,0). Let N be the unit normal vector field on C, oriented so that it points away from the origin. Let F: R? –→ R be the vector field defined by F(r, y) = (x, 12). Find the flux of F across the curve C in the direction pointing away from the origin. SoF N ds =
Let C be the straight line curve between the points (0,9) and (1,0). Let N be the unit normal vector field on C, oriented so that it points away from the origin. Let F: R? –→ R be the vector field defined by F(r, y) = (x, 12). Find the flux of F across the curve C in the direction pointing away from the origin. SoF N 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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Transcribed Image Text:Let C be the straight line curve between the points (0,9) and (1,0). Let N be the unit normal vector field on C, oriented so that it points away from the origin. Let F: R? –→R
be the vector field defined by F(r, y) = (x, 12). Find the flux of F across the curve C in the direction pointing away from the origin.
S¢F·N ds =
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