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(Solved): Find the maximum value of \( f(x, y, z)=x+2 y+8 z \) on the sphere \( x^{2}+y^{2}+z^{2}=169 \) ...


Find the maximum value of \( f(x, y, z)=x+2 y+8 z \) on the sphere \( x^{2}+y^{2}+z^{2}=169 \)

Find the maximum value of \( f(x, y, z)=x+2 y+8 z \) on the sphere \( x^{2}+y^{2}+z^{2}=169 \)


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to find out maximum using Lagrange Multipliers theorem given f(x,y,z)=x+2y+8z let g(x,y,z)=x2+y2+z2=169
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