4. (16) pts. Green's Theorem. For given region R and vector field F; F =< −3y², x³ + x>; R is the triangle with vertices

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4. (16) pts. Green's Theorem. For given region R and vector field F; F =< −3y², x³ + x>; R is the triangle with vertices

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4 16 Pts Green S Theorem For Given Region R And Vector Field F F 3y X X R Is The Triangle With Vertices 1
4 16 Pts Green S Theorem For Given Region R And Vector Field F F 3y X X R Is The Triangle With Vertices 1 (35.95 KiB) Viewed 36 times
4. (16) pts. Green's Theorem. For given region R and vector field F; F =< −3y², x³ + x>; R is the triangle with vertices (0, 0), (1, 0), and (0, 2). a. Compute the two-dimensional curl of the vector field. b. Is the vector field conservative? c. Evaluate both integrals in Green's Theorem and check for consistency.
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