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10 Nov 2019
Please show your work so that I can understand how to solve.Thanks
Suppose F[X] = is a vector field and D is a smoothly bordered domain in (x, y} - space. integral formula for the rate of flow of F around the positively oriented boundary of D. Rate of flow around the positively oriented boundary of D, ( _ )dx dy = ? Do the hypotheses of Green's theorem apply to your formula for the vector field F[X] = on the domain D = {(x, y) : x2 + y2 le 1}? Why or why not? Do the hypotheses of Green's theorem apply to your formula for the vector field F[X] = on the domain D = {(x, y) : x2 + y2 le 5}? Why or why not?
Please show your work so that I can understand how to solve.Thanks
Suppose F[X] = is a vector field and D is a smoothly bordered domain in (x, y} - space. integral formula for the rate of flow of F around the positively oriented boundary of D. Rate of flow around the positively oriented boundary of D, ( _ )dx dy = ? Do the hypotheses of Green's theorem apply to your formula for the vector field F[X] = on the domain D = {(x, y) : x2 + y2 le 1}? Why or why not? Do the hypotheses of Green's theorem apply to your formula for the vector field F[X] = on the domain D = {(x, y) : x2 + y2 le 5}? Why or why not?