作业帮设在部分球面x²+y²+z²=5R²,x>0,y>0,z>0上函数f(x,y,z)=lnx+lny+3lnz有极大值求该极大值,并用上述结果证明对任意a,b,c,满足abc³≤27[(a+b+c)/5]^5
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![设在部分球面x²+y²+z²=5R²,x>0,y>0,z>0上函数f(x,y,z)=lnx+lny+3lnz有极大值求该极大值,并用上述结果证明对任意a,b,c,满足abc³≤27[(a+b+c)/5]^5](/uploads/image/z/2520926-62-6.jpg?t=%E8%AE%BE%E5%9C%A8%E9%83%A8%E5%88%86%E7%90%83%E9%9D%A2x%26%23178%3B%2By%26%23178%3B%2Bz%26%23178%3B%3D5R%26%23178%3B%2Cx%3E0%2Cy%3E0%2Cz%3E0%E4%B8%8A%E5%87%BD%E6%95%B0f%28x%2Cy%2Cz%29%3Dlnx%2Blny%2B3lnz%E6%9C%89%E6%9E%81%E5%A4%A7%E5%80%BC%E6%B1%82%E8%AF%A5%E6%9E%81%E5%A4%A7%E5%80%BC%2C%E5%B9%B6%E7%94%A8%E4%B8%8A%E8%BF%B0%E7%BB%93%E6%9E%9C%E8%AF%81%E6%98%8E%E5%AF%B9%E4%BB%BB%E6%84%8Fa%2Cb%2Cc%2C%E6%BB%A1%E8%B6%B3abc%26%23179%3B%E2%89%A427%5B%28a%2Bb%2Bc%29%2F5%5D%5E5)
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设在部分球面x²+y²+z²=5R²,x>0,y>0,z>0上函数f(x,y,z)=lnx+lny+3lnz有极大值求该极大值,并用上述结果证明对任意a,b,c,满足abc³≤27[(a+b+c)/5]^5
设在部分球面x²+y²+z²=5R²,x>0,y>0,z>0上函数f(x,y,z)=lnx+lny+3lnz有极大值
求该极大值,并用上述结果证明对任意a,b,c,满足abc³≤27[(a+b+c)/5]^5
设在部分球面x²+y²+z²=5R²,x>0,y>0,z>0上函数f(x,y,z)=lnx+lny+3lnz有极大值求该极大值,并用上述结果证明对任意a,b,c,满足abc³≤27[(a+b+c)/5]^5
5R^2=x^2+y^2+1/3*z^2+1/3*z^2+1/3*z^2>=5/27*(xyz^3)^(2/5),即xyz^3