1.Use Green's Theorem to evaluate (2ry + cos x)dr + (3xy+ 5x)dy where C is the...

  

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1.Use Green's Theorem to evaluate (2ry + cos x)dr + (3xy+ 5x)dy where C is the circle r + y = 64. 2. Let M(x,y) and N(x,y) = Show that # - M(x,y)dr + N(x,y)dy + (M) A R if R is the disk whose boundary C is the circle x + y = 1. Explain why does this result not contradict with the Green's Theorem. 1.Use Green's Theorem to evaluate (2ry + cos x)dr + (3xy+ 5x)dy where C is the circle r + y = 64. 2. Let M(x,y) and N(x,y) = Show that # - M(x,y)dr + N(x,y)dy + (M) A R if R is the disk whose boundary C is the circle x + y = 1. Explain why does this result not contradict with the Green's Theorem.