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Find the Standard Form of the Equation of the Sphere (4,3,5)( 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) ( 4,3,5 ) ;radius: 5


A) (x4) 2(y+3) 2(z5) 2=25( x - 4 ) ^ { 2 } - ( y + 3 ) ^ { 2 } - ( z - 5 ) ^ { 2 } = 25
B) (x4) 2+(y3) 2+(z5) 2=25( x - 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 25
C) (x+4) 2+(y3) 2+(z5) 2=25( x + 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 25
D) (x4) 2(y3) 2+(z5) 2=25( x - 4 ) ^ { 2 } - ( y - 3 ) ^ { 2 } + ( z - 5 ) ^ { 2 } = 25
E) (x4) 2+(y3) 2(z+5) 2=25( x - 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } - ( z + 5 ) ^ { 2 } = 25

Correct Answer:

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