Answer Happy

15. Extra Credit: Let 0<ζ

Posted: Tue Jul 12, 2022 12:46 pm

by answerhappygod

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15. Extra Credit: Let 0<ζ<a. Show that ∭x2+y2+z2≤a2​x2+y2+(z−ζ)2dxdydz​=π[2a+ζ(a2−ζ2)​lna−ζa+ζ​] HINT: We computed a similar integral in class. Also, at some appropriate point use the fact that s→0lim​slns=0.