Given the following vector field and oriented curve C, evaluate IF - T ds. C F = (y,x) on the line segment from (4,1) to (9,11) a::3 IF-Tds= C (Type an exact answer, using radicals as needed.) Given the force field F, find the work required to move an object on the given oriented curve. F= (y, - x) on the path consisting of the line segment from (1,4) to (0,0) followed by the line segment from (0,0) to (0,9) . . . The amount of work required is (Simplify your answer.)Given the force field F, find the work required to move an object on the given orientated curve. F= (y,x) on the parabola y = 6x from (0,0) to (2,24) . . . The amount of work required is (Simplify your answer.)Given the force eld F, find the work required to move an object on the given oriented curve r(t). F = (42,4x,4y), r(t) = (sin t, cos Lt), for 0 5t 5 2::