Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Eval

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Consider The Following Region R And The Vector Field F A Compute The Two Dimensional Curl Of The Vector Field B Eval 1 (929.75 KiB) Viewed 16 times

Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. 2 F=(x,y); R = {(x,y): x² +y? 54} a. The two-dimensional curl is - (Type an exact answer.) b. Set up the integral over the region R. Write the integral using polar coordinates, with r as the radius and O as the angle. DO S S r dr de (Type exact answers.) 0 0 Set up the line integral. Use the standard parameterization for a circle with t as the independent variable. s dt (Type exact answers.) 0 Evaluate these integrals and check for consistency. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an exact answer.)