Green's theorem is an equality relationship between surface integrals and line integrals. This theorem is given by dydx = $(Pdx+Qdy). ôx ôy Given that C is the boundary of a region bounded by y=-9+x², y=x-3, x=2 and y=0 with positive orientation. Using Green's theorem, construct a diagram to identify the regions and use the theorem to evaluate +/In(sin y) )dy cos.x
Green's theorem is an equality relationship between surface integrals and line integrals. This theorem is given by dydx = $(Pdx+Qdy). ôx ôy Given that C is the boundary of a region bounded by y=-9+x², y=x-3, x=2 and y=0 with positive orientation. Using Green's theorem, construct a diagram to identify the regions and use the theorem to evaluate +/In(sin y) )dy cos.x
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Green's theorem is an equality relationship between surface integrals and line integrals. This
theorem is given by
dydx = $(Pdx +Qdy).
дх ду
Given that C is the boundary of a region bounded by y=-9+x², y=x-3, x=2 and y=0
with positive orientation. Using Green's theorem, construct a diagram to identify the regions
and use the theorem to evaluate
S.(e* +3y*) dx +(x² + /In (sin' y) )dy
cos.x
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