5. Let F = (-y, x), and let C be the line segment from (0, 2) to (1,5). (a) Parametrize the line segment into the form r(t) = (x(t), y(t)). Specify the range of t values. (b) Evaluate the line integral So F.dr.

Find the work done by F (given below) when moving the particle CCW around T once. T is the triangle with points (2,2), (0,0), and (2,0). F(x,y) = sinx i + x^2y^3 j. Show this done using green's theorem and w/o Green's theorem

For the line through (–10, 2) with slope 10 find the parametrization of y(t) with given x(t) = – 10 + t. (Use symbolic notation and fractions where needed.)

3.2.4