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

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Consider The Following Region And The Vector Field F A Compute The Two Dimensional Divergence Of The Vector Field B 1 (34.4 KiB) Viewed 21 times

Consider the following region and the vector field F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-2x, -29); R=(x,y): x +y? 59 a. I ne two-dimensionat divergence is -4ype an exact answer.) b. Set up the integral over the region. Write the integral using polar coordinates, with r as the radius and e as the angle. Srde do (Type exact answers) IT 0 0 Set up the line integral. Let the parameter be t=0, where is the angle measured counterclockwise from the positive x-axis sdt (Type exact answers.) 0 Evaluate those 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.) O A. The integrals are consistent because they both evaluate to