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Given the 2-D vector field : G(x, y) = (2y)î + (x)j and the triangular curve T : line segments from point A(0, 0) to point B(4,0) to point D(4,2) and back to point A(0,0). (a) Sketch the curve, and the vector field at the 9 points making a square from (-2,2) to (2, –2). :-

Given the 2-D vector field : G(x, y) = (2y)î + (x)j and the triangular curve T : line segments from point A(0, 0) to point B(4,0) to point D(4,2) and back to point A(0,0). (a) Sketch the curve, and the vector field at the 9 points making a square from (-2,2) to (2, –2). :-

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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4. Given the 2-D vector field : G(x,y) = (2y)î + (x)ĵ and the triangular curve T : line segments from point A(0, 0) to point B(4,0) to point D(4,2) and back to point A(0,0). 1 (а) Sketch the curve, and the vector field at the 9 points making a square from (-2,2) to (2, –2). -x- -3: -2 -1 1 2 3 -1 -2 -3 -y Compute W = $. G· dr parametrically. (Note : You will need to set up and evaluate three line integrals.) (b) (c) Apply Green's Theorem to compute W = f, G· dr.
Transcribed Image Text:4. Given the 2-D vector field : G(x,y) = (2y)î + (x)ĵ and the triangular curve T : line segments from point A(0, 0) to point B(4,0) to point D(4,2) and back to point A(0,0). 1 (а) Sketch the curve, and the vector field at the 9 points making a square from (-2,2) to (2, –2). -x- -3: -2 -1 1 2 3 -1 -2 -3 -y Compute W = $. G· dr parametrically. (Note : You will need to set up and evaluate three line integrals.) (b) (c) Apply Green's Theorem to compute W = f, G· dr.
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