Question: Use a CAS and Greens Theorem to find the counterclockwise circulation of the field F around the simple closed curve C. Perform the following CAS

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.

Green's Theorem Area Formula Area of R = 2 x dy -

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 = x^-1e^y i + (e^y ln x + 2x)j,

C: The boundary of the region defined by y = 1 + x⁴ (below) and y = 2 (above)

Green's Theorem Area Formula Area of R = 2 x dy - y dx

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