Consider the vector field v= (x+y) +(yx)} Evaluate the line integral I = fv.d along each...

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Consider the vector field v= (x+y)î +(y−x)} Evaluate the line integral I = fv.d along each of the paths in the xy-plane shown in the figure at right, and defined by the following: i. ii. iii. iv. the parabola y 2 = x from (1, 1) to (4, 2), the curve x = 2u2+u+1, y = 1 + u ² from (1, 1) to (4, 2), (1,1) the line y = 1 from (1, 1) to (4, 1), followed by the line x=4 from (4, 1) to (4, 2). What can you conclude about the vector field F. (4,2) Consider the vector field v= (x+y)î +(y−x)} Evaluate the line integral I = fv.d along each of the paths in the xy-plane shown in the figure at right, and defined by the following: i. ii. iii. iv. the parabola y 2 = x from (1, 1) to (4, 2), the curve x = 2u2+u+1, y = 1 + u ² from (1, 1) to (4, 2), (1,1) the line y = 1 from (1, 1) to (4, 1), followed by the line x=4 from (4, 1) to (4, 2). What can you conclude about the vector field F. (4,2)