Question

Let A be the inside and boundary of the triangle in R2 whose vertices are (0,0), (1,0) and (0,1). Let C be the curve obtained by proceeding around the boundary of A in an anti- clockwise direction. Prove İ}!").lx (ly İ)(2 dr dy. Pdr+Qdy That is, prove Green's Theorem for the triangle A. [Hint: the lecture notes have a proof for when A is a rectangle. So, the idea is is to give a similar proof where we have this triangle A in place of a rectangle.] 3 marks

Answer 1

0 0,0) CD tunce th<e So, thtparamoic equaton i linc passer

Thuy Noo the equahon the ine Pase agh lo p) Thuu So, х:0

(3 d n df Hence Proved