Use cylindrical coordinates. Evaluate SIS x2 + y2 dv, where E is the region that lies...

Question

Question

Use cylindrical coordinates. Evaluate SIS x2 + y2 dv, where E is the region that lies inside the cylinder x2 + y2 = 4 and bet

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Answer 1

Answer #1

in Polar Coordinate X= 7coso z axis ya =rsino 8= 2-2 8: distance from Vx x²+y² angle with a oxis of vector du= z rdr do

x +y = r² = 4 r.2 or < 2 O<O<25 3C2<12 2x 2 12 lis V2²syz dva rdztrdo) do 25 2 = I 5 r(a)aberdrdo D 2Ã *) 2012. do 24(2-) 48

Please comment if you have any doubt. Thanks

Answer 2

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