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Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (
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over »,8,25o & fray z)= y x2+4²+2? <3 fool using spherical Corelinates x= p sintaso y=p sind sino, Z= Ples & 22+ y² + z = enwe a *,y, zco have to find limits of of Zço e post so Gas & so = 66 9 TT 2 x= p sind esso so & Gloco = TE o =35Finally osf = 53, 15 8 5 31 4 = 6 En Also dv=p² sind de dodo 314 53 SSS yeva SSS (Psong sina) (r?Bing dp dodf) I 플 1T Si 3 -* - $ (bin gro– 3 ind) xxx! 2 - 1/2 x 4 x 2 -gr 16 Filly ISSS Yav=-git 16 SSSydu= agt y d v= -gt 16

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