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Consider the two-dimensional vector field sin(Arctan(y/x)) F(x,y) = cos(Arctan(y/x)), defined on points (x,y) with x + 0. Evaluate the line integral | F(x, y)dy where is the curve with polar parametrization T 37 8' 8 r(0) = -2 sin(20) for 0 E -V2 V3 -V3 V2

Consider the two-dimensional vector field sin(Arctan(y/x)) F(x,y) = cos(Arctan(y/x)), defined on points (x,y) with x + 0. Evaluate the line integral | F(x, y)dy where is the curve with polar parametrization T 37 8' 8 r(0) = -2 sin(20) for 0 E -V2 V3 -V3 V2

Advanced Engineering Mathematics
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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Consider the two-dimensional vector field sin(Arctan(y/æ)) cos(Arctan(y/x)), F(x,y) = defined on points (x,y) with x + 0. Evaluate the line integral |F(z, y)dy where is the curve with polar parametrization r(0) = -2 sin(20) for 0 € IT 37 8' 8 V3 -V3 V2
Transcribed Image Text:Consider the two-dimensional vector field sin(Arctan(y/æ)) cos(Arctan(y/x)), F(x,y) = defined on points (x,y) with x + 0. Evaluate the line integral |F(z, y)dy where is the curve with polar parametrization r(0) = -2 sin(20) for 0 € IT 37 8' 8 V3 -V3 V2
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