Solve the Problem $f ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$

question 41

Multiple Choice

Solve the problem.
-Find an equation for the level surface of the function $f ( x , y , z ) = \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } }$ that passes through the point $( 3,12,4 )$ .

• A) \(x + y + z = \pm 13\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 13\)
• C) \(x + y + z = 13\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169\)