Problem 3 i) Let D be the polygon in R2 with vertices, in a counter-clockwise order, given by (zı, y), (x2,U2), , (Tm%). Use Green's Theorem to shows that the area of D is given by the formula ny...
Problem 3 i) Let D be the polygon in R2 with vertices, in a counter-clockwise order, given by (zı, y), (x2,U2), , (Tm%). Use Green's Theorem to shows that the area of D is given by the formula nyn-1 7 marks (i) Using the formula from (i) to derive the area of triangle with a base of width w 1 and a height of h 3 marks] Problem 3 i) Let D be the polygon in R2 with vertices, in...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...