Find the Standard Equation of the Sphere with Center (2 $( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 4$

question 100

Multiple Choice

Find the standard equation of the sphere with center (2, 8, 4) , and radius 2.

• A) \(( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 4\)
• B) \(( x + 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 2\)
• C) \(( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 2\)
• D) \(( x - 2 ) ^ { 2 } + ( y + 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 4\)
• E) \(( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 4\)

---

Definitions:

National Saving

National saving is the total amount of savings generated within a country, typically calculated as the sum of private and public saving.

Net Capital Outflow

The contrast between the investments made by citizens in foreign assets and those made by non-citizens in the nation's assets.

Domestic Investment

The commitment of resources by a country to invest in capital within its own borders.

Saving

The act of setting aside money for future use, rather than spending it immediately, often for specific goals or emergencies.