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11 Jun 2020
Green’s Theorem: Region with a Hole
Let R be the region inside the ellipse ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/0.png?img=5c128c722395052ba3eaa2e2a06d0da3)
, ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/1.png?img=ba8b6772ef497bf710e4dbf8f0dd304a)
and outside the circle ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/2.png?img=5477a11d32f46835ba047d8a21bdb3cc)
, ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/3.png?img=291418ec7a9fadd503633f7962188e2c)
and outside the circle ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/4.png?img=ba885bf4e6b9060577057446c5946f92)
, ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/5.png?img=1123a0da4070a0f341226962a091e91c)
. Evaluate the line integral
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/6.png?img=06109f7f1b6988f7af936170fcf8f261)
where ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/937237876258982/question/7.png?img=f894ead3381939585f7389c3d889f8ea)
is the boundary of R, as shown in the figure.
![Chapter 15.4, Problem 46E, Greens Theorem: Region with a Hole Let R be the region inside the ellipse x=4cos, y=3sin and outside](https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/6580840/qa_images/960974033410875/8.png)
Green’s Theorem: Region with a Hole
Let R be the region inside the ellipse
where
Joram GuingguingLv10
20 Aug 2020