Find the Standard Form of the Equation of the Sphere $( 4,3,5 )$

question 42

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics.
Center: $( 4,3,5 )$ ;radius: 5

• A) \(( x - 4 ) ^ { 2 } - ( y + 3 ) ^ { 2 } - ( z - 5 ) ^ { 2 } = 25\)
• B) \(( x - 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 25\)
• C) \(( x + 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 25\)
• D) \(( x - 4 ) ^ { 2 } - ( y - 3 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 25\)
• E) \(( x - 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } - ( z + 5 ) ^ { 2 } = 25\)

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