Find the maximum value of the function f (x,y,z)= 7x + 8y + 6z on the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 596$ .
A)298
B)894
C)1,043.0
D)149

Name: Find the maximum value of the function f (x,y,z)= 7x + 8y + 6z on the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 596$ . A)298 B)894 C)1,043.0 D)149
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Using Lagrange multipliers, we can find the maximum value of the function. The maximum value is 298.

Find the Maximum Value of the Function F (X,y,z)= 7x x2+y2+z2=596x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 596x2+y2+z2=596

Find the Maximum Value of the Function F (X,y,z)= 7x $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 596$