设f(x)为连续函数,f(0)=a,F(t)=∫∫∫Ω{z-f(x^2+y^2+z^2)]dv,其中Ω是曲面z=√(x^2+y^2)与设fx为连续函数,f(0)=a,F(t)=∫∫∫Ω{z-f(x^2+y^2+z^2)]dv,其中Ω是曲面z=√(x^2+y^2)与z=√(t^2-x^2-y^2)围成.求t趋近于0+时,F(t)/t

Question

设f(x)为连续函数,f(0)=a,F(t)=∫∫∫Ω{z-f(x^2+y^2+z^2)]dv,其中Ω是曲面z=√(x^2+y^2)与
设fx为连续函数,f(0)=a,F(t)=∫∫∫Ω{z-f(x^2+y^2+z^2)]dv,其中Ω是曲面z=√(x^2+y^2)与z=√(t^2-x^2-y^2)围成.求t趋近于0+时,F(t)/t^3的极限.

Answer 1

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