Parametrize the Surface S

question 93

Essay

Parametrize the surface S.
- $$S \text { is the cap cut from the paraboloid } z = \frac { 1 } { 12 } - 9 x ^ { 2 } - 9 y ^ { 2 } \text { by the cone } z = \sqrt { x ^ { 2 } + y ^ { 2 } } \text {. }$$

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Definitions:

Economy

The organized system of human activity involved in the production, consumption, and trading of goods and services.

Say's Law

An economic principle that suggests supply creates its own demand, meaning production of goods and services generates the purchasing power needed to buy those goods and services.

Supply

The total amount of a product or service that is available for purchase at any given price in a given market.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices during a certain period.