Dear tutors, /

I am studying calculus, and have no idea. Please help me.

I put my try in a red. If your answer is same with red, please try it again.

Please show all your work and highlight the answer.

Here is my question:

Assignment 8: Problem 4 Previous Problem Problem List Next Problem (1 point) Suppose F(x, y) = xy? + (x - 3/); and C is the triangle from (4, 0) to (4, 0) to (0,4) to (4, 0). (a) Find the line integral of 1-7: along each segment of the triangle. Along C1 , the line segment from (4, 0) to (4, 0), the line integral is Along C2, the line segment from (4, 0) to (0, 4), the line integral is Along C3, the line segment from (0,4) to (4, 0), the line integral is (b) Find the circulation of 13: around C. Circulation 2 (c) Find the circulation of I? around C . Circulation 2 Assignment 8: Problem 7 Previous Problem Problem List Next Problem (1 point) Let F = 3x yi + 8 y2 j be a vector field in the plane, and C the path y = 5x:2 joining (0,0) to (1,5) in the plane. A. Evaluate fCF - dr B. Does the integral in part (A) depend on the path joining (0,0) to (1,5)? (y) Assignment 8: Problem 3 Previous Problem Problem List Next Problem (1 point) Evaluate the line integral / F . d r where F = (2 sin x, cos y, xz) and C is the path given by r(t) = (1, -12, 2t) for 0