Question: Please help me with some guidance. 17.3.19 Determine whether the following vector field is conservative on R2. If so, determine the potential function. F =

Please help me with some guidance.

17.3.19 Determine whether the following vector field is conservative on R2. If so, determine the potential function. F = x3 + xy, - 2 + 2y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. F is conservative on R2. The potential function is q(x,y) = (Use C as the arbitrary constant.) O B. F is not conservative on R2X 17.3.21 Determine whether the following vector field is conservative on an open region R of R2 that does not include the origin. If so, determine the potential function. F = (2x,6y) 1 2 x 2 + 6y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. F is conservative on R . The potential function is (x,y) = (Use C as the arbitrary constant.) O B. F is not conservative on R

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