Let C be the closed curve in the x-y plane around the square with vertices (0,0),...

Transcribed Image Text:

Let C be the closed curve in the x-y plane around the square with vertices (0,0), (1,0), (1, 1) and (0, 1), traversed in an anticlockwise direction, and let D be the square region bounded by C. Consider the vector field F(x, y) = F(x, y)i+F2(x, y)j, with F(x, y) = x(1 y) and F2(x, y) = y(1 2x). F dr without using Green's theorem. (a) Evaluate fo (b) Evaluate SS. COFF OF2 OF dA without using Green's Theorem. Show all working. Let C be the closed curve in the x-y plane around the square with vertices (0,0), (1,0), (1, 1) and (0, 1), traversed in an anticlockwise direction, and let D be the square region bounded by C. Consider the vector field F(x, y) = F(x, y)i+F2(x, y)j, with F(x, y) = x(1 y) and F2(x, y) = y(1 2x). F dr without using Green's theorem. (a) Evaluate fo (b) Evaluate SS. COFF OF2 OF dA without using Green's Theorem. Show all working.