Work Let f(x, y) = arctan () and F Vf. %3D (1) Show F= +y²' x² + y°. %3D (ii) Calculate the work done by F along the unit circle in the xy-plane centered at the origin traversed once in the counter-clockwise direction using FTC. (iii) Calculate the work done by F along the unit circle in the xy-plane centered at the origin traversed once in the counter-clockwise direction using the definition of the work integral F ds.
Work Let f(x, y) = arctan () and F Vf. %3D (1) Show F= +y²' x² + y°. %3D (ii) Calculate the work done by F along the unit circle in the xy-plane centered at the origin traversed once in the counter-clockwise direction using FTC. (iii) Calculate the work done by F along the unit circle in the xy-plane centered at the origin traversed once in the counter-clockwise direction using the definition of the work integral F 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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Question
Solve part 2
Transcribed Image Text:Work Let f(x, y) = arctan
(9 and F Vf.
%3D
%3D
-y
(1) Show F= + y?´ x² +y²,
%3D
x²+y²
(ii) Calculate the work done by F along the unit circle in the xy-plane centered at the origin
traversed once in the counter-clockwise direction using FTC.
(iii) Calculate the work done by F along the unit circle in the xy-plane centered at the origin
traversed once in the counter-clockwise direction using the definition of the work integral
F.I ds.
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