Problem 5 Let I = fffa x dV where E is the part of the region...

 

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Problem 5 Let I = fffa x dV where E is the part of the region enclosed by z = x² + y² - 4 and z = 5 E with x < 0. (a) Sketch E. (b) Express I as an iterated integral. You need to choose the most appropriate coordinate system so that the integral would be easy to evaluate by hand (e.g. you should not have square roots). If you choose Cartesian coordinates, use the order dz dx dy. Do not evaluate the integral. Problem 5 Let I = fffa x dV where E is the part of the region enclosed by z = x² + y² - 4 and z = 5 E with x < 0. (a) Sketch E. (b) Express I as an iterated integral. You need to choose the most appropriate coordinate system so that the integral would be easy to evaluate by hand (e.g. you should not have square roots). If you choose Cartesian coordinates, use the order dz dx dy. Do not evaluate the integral.

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