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Use Lagrange Multipliers to Find the Minimum Value of the Function

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Use Lagrange multipliers to find the minimum value of the function subject to the given constraints. f(x,y,z,t)=5x+5y+5z+5t,5(x2+y2+z2+t2)=4f ( x , y , z , t ) = 5 x + 5 y + 5 z + 5 t , \quad 5 \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + t ^ { 2 } \right) = 4


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