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(6 points) Let F = 4xyi+ 3y j be a vector field in the plane, and C the path y = 3x2 joining (0,0) to
(6 points) Let F = 4xyi+ 3y j be a vector field in the plane, and C the path y = 3x2 joining (0,0) to (1,3) in the plane. A. Evaluate J F . dr B. Does the integral in part (A) depend on the path joining (0,0) to (1,3)? (y)(4 points) Let F = 8(x + y) i + 6 sin(y) j. Find the line integral of F around the perimeter of the rectangle with corners (2, 0), (2, 2), (-1, 2), (-1, 0), traversed in that order. line integral = -16
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