Calculate the surface integral ( i.e. f(y x F) · dS )of the curl of the vector field: F(r, 6, 2) = (86 +2 2) over the disc area of radius R=7 shown in the figure. Note that the vector field is given in cylindrical coordinate system. y R Figure : The area to be integrated is dotted. The circle is centered in the X3D0.y%3D0. The red line enclosed the area.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Calculate the surface integral (i.e. f(V x F) dS ) of the curl of the vector field:
F(r, 6, 2) = (86 +2 2)
over the disc area of radius R=7 shown in the figure. Note that the vector field is given in
cylindrical coordinate system.
R
Figure : The area to be integrated is dotted. The circle is centered in the X3D0,y%3D0. The red line
enclosed the area.
Transcribed Image Text:Calculate the surface integral (i.e. f(V x F) dS ) of the curl of the vector field: F(r, 6, 2) = (86 +2 2) over the disc area of radius R=7 shown in the figure. Note that the vector field is given in cylindrical coordinate system. R Figure : The area to be integrated is dotted. The circle is centered in the X3D0,y%3D0. The red line enclosed the area.
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