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11 Jun 2020
Area and Volume
Consider the region ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/589512088792567/question/0.png?img=a19d673f23d278d391da0ea4dd7fa5e3)
in the ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/589512088792567/question/1.png?img=09dd5dcc9133927f91ffd8f05e3e7ae8)
-plane bounded by ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/589512088792567/question/2.png?img=1b28988b4249b71b35bd14ac7f733f89)
.
(a) Convert the equation to polar coordinates. Use a graphing utility to graph the equation.
(b) Use a double integral to find the area of the region ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/589512088792567/question/3.png?img=499768bc0afec69a2b3f830688cb89d5)
.
(c) Use a computer algebra system to find the volume of the solid region bounded above by the hemisphere ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/589512088792567/question/4.png?img=f3f6b4bb8b28babf5d7d1d517e50327a)
and below by the region ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/589512088792567/question/5.png?img=8daf9d41dfc4988f9154353c86a54ac4)
.
Area and Volume
Consider the region
(a) Convert the equation to polar coordinates. Use a graphing utility to graph the equation.
(b) Use a double integral to find the area of the region
(c) Use a computer algebra system to find the volume of the solid region bounded above by the hemisphere
Joram GuingguingLv10
12 Aug 2020