[a] Determine whether or not the vector field F(x, y) = (y e² + sin y)i + (eª + x cosy) j is conservative and, if it is,

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A Determine Whether Or Not The Vector Field F X Y Y E Sin Y I Ea X Cosy J Is Conservative And If It Is 1 (17.86 KiB) Viewed 33 times

[a] Determine whether or not the vector field F(x, y) = (y e² + sin y)i + (eª + x cosy) j is conservative and, if it is, find the potential function. What can be said about the line integral [F. di 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 .