Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 5xy, x+ yz), where f: R → R is an arbitrary smooth function, while moving an object first from the point (2, -1,0) to the point (2, 1, 0) along the semi-circle (with z >0) of radius 1 in the plane x = 2, and then back to the point (2,-1, 0) along the line x = 2 in the (x, y)-plane. Work =
Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 5xy, x+ yz), where f: R → R is an arbitrary smooth function, while moving an object first from the point (2, -1,0) to the point (2, 1, 0) along the semi-circle (with z >0) of radius 1 in the plane x = 2, and then back to the point (2,-1, 0) along the line x = 2 in the (x, y)-plane. Work =
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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