Use a CAS and Greens Theorem to find the counterclockwise circulation of the field F around the

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Use a CAS and Green’s Theorem to find the counterclockwise circulation of the field F around the simple closed curve C. Perform the following CAS steps.


image


a. Plot C in the xy-plane.


b. Determine the integrand (∂N/∂x) - (∂M/∂y) for the tangential form of Green’s Theorem.


c. Determine the (double integral) limits of integration from your plot in part (a) and evaluate the curl integral for the circulation.


F = xey i + (4x2 ln y)j,


C: The triangle with vertices (0, 0), (2, 0), and (0, 4)

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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