Describe the Given Set of Points with a Single Equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169$

question 132

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle in which the plane through the point (5, -8, -2) perpendicular to the x-axis meets the sphere of radius 13 centered at the origin.

• A) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169\) and \(z = 5\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 144\) and \(y = 5\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 119\) and \(y = 5\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169\) and \(x = 5\)

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Definitions:

Price Elasticity

A reflection of how the market's demand for a good is affected by its price dynamics.

Midpoint Method

A technique used to calculate the elasticity of demand or supply between two points on a curve by averaging the two points' quantities and prices.

Cross-price Elasticity

A measure of how the quantity demanded of one good changes in response to a change in price of another good.

Price Elasticity

Understanding the correlation between the price of a good and the demand it receives.