8. Use Greens Theorem to evaluate the line integral positively oriented square with vertices (1, 1). (10p) 9. (a) What does it mean that F Is

8. Use Greens Theorem to evaluate the line integral positively oriented square with vertices (1, 1). (10p) 9. (a) What does it mean that F Is independent of path? (b) If you know that F (a) Write the definition of the line integral of a scalar function f along a smooth curve C with respect to arc length. (b) How do you evaluate such a line integral? (c) Write expressions for the mass and center of mass of a thin wire shaped like a plane curve C, if the wire has linear density function (x,y). (e) How do you evaluate such integrals?