Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 6 x - 12 y - 6 z + 29 = 0$

question 13

Multiple Choice

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 6 x - 12 y - 6 z + 29 = 0$

• A)center: (3,-6,-3);radius: 25.
• B)center: (-3,6,3);radius: 5
• C)center: (3,-6,-3);radius: 25
• D)center: (-3,-6,-3);radius: 5
• E)center: (3,-6,-3);radius: 5

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Definitions:

Total Revenue

The full amount of capital a business garners from the sale of goods or the rendering of services for a particular timeframe.

Total Cost

The complete cost of production that includes both fixed and variable costs.

Profit

The financial gain obtained when the amount of revenue gained from a business activity exceeds the expenses, costs, and taxes associated with the activity.

Average Total Cost

Average Total Cost is an economic concept that represents the total cost of production divided by the quantity of output produced, encompassing both fixed and variable costs.