Q5 (16 points) [a] Determine whether or not the vector field F(x, y) = (y e + sin y)i + (e² + x cos y) j is conservative

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Q5 16 Points A Determine Whether Or Not The Vector Field F X Y Y E Sin Y I E X Cos Y J Is Conservative 1 (31.38 KiB) Viewed 33 times

Q5 (16 points) [a] Determine whether or not the vector field F(x, y) = (y e + sin y)i + (e² + x cos y) j is conservative and, if it is, find the potential function. What can be said about the line integral L.F. F. dr where is the vector field in part [a] and C is any path connecting the points (1, 0) to (2, 1)? [c] Evaluate the line integral in part .