Given a Quadric Surface $x ^ { 2 } + 2 y ^ { 2 } + z = 0$

question 31

Essay

Given a quadric surface $x ^ { 2 } + 2 y ^ { 2 } + z = 0$ .(a) Identify and sketch the surface.(b) Find the coordinates of the point(s) of intersection of the line passing through the points $( 1,1,0 )$ and $( 0,0 , - 4 )$ and the surface.

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Definitions:

Price Elasticity

An indicator that shows the degree to which the demand for a product or service fluctuates following a price adjustment.

Demand Schedule

A table that shows the quantity of a good or service that consumers are willing and able to purchase at various prices over a specific period.

Price Elasticity

Price elasticity measures how the quantity demanded of a good or service changes in response to a change in its price. It signifies the responsiveness of demand to price changes.

Quantity Demanded

Refers to the total amount of a good or service that consumers are willing and able to purchase at a given price in a specified period.