Find Parametric Equations for the Tangent Line to the Curve $$x = t ^ { 9 } , y = t ^ { 3 } , z = t ^ { 6 } ; ( 1,1,1 )$$

question 158

Short Answer

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.
$$x = t ^ { 9 } , y = t ^ { 3 } , z = t ^ { 6 } ; ( 1,1,1 )$$

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Definitions:

Industry Output

The total product or service produced by companies within a specific sector or industry.

Noncooperative Behavior

Actions in a competitive environment where entities act independently without collaboration, potentially leading to less optimal outcomes.

Marginal Costs

The increase in aggregate expenses due to the production of an additional unit of a good or service.

Industry Output

The total production or supply of goods and services produced by a specific industry within a certain period.