In each of problems 4-7, find the line integral of the vector field F over the curve C. 4. F = (x+ yz, 2x, ryz); C consists of the line segments from (1, 0, 1) to (2, 3, 1) and from (2, 3, 1) to (2, 5, 2). (12 points) 5. F = (xy, x'y'); C is the triangle with vertices (0, 0), (1, 0), (1,2) and is oriented counterclockwise. (6 points) 6. F = (x', y); C is the top half of the circle a + y? = 4, oriented counterclockwise. (8 points) 7. F = (e" + x'y, ev - xy?); C is the circle a + y' = 25, oriented clockwise. (8 pts.)1. Compute the curl of the vector field F = (-r + y)i+ (y + z)j+ (-z+x)k. 2. Compute the curl of the vector field F = e" i+ (cosy) jteE. 3. If F is any vector field whose components have continuous second partial deriva- tives, show div (curl F) = 0