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Find Equations of the Normal Plane To x=t,y=t2,z=t3x = t , y = t ^ { 2 } , z = t ^ { 3 }

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Find equations of the normal plane to x=t,y=t2,z=t3x = t , y = t ^ { 2 } , z = t ^ { 3 } at the point (2, 4, 8).


Definitions:

Demand-Side Factors

Factors affecting the quantity of a product or service demanded at a given price, including income levels, tastes, and preferences of consumers.

Finite Natural Resources

Natural resources that exist in limited quantities and are not renewable within a human lifespan, such as fossil fuels and minerals.

Per Capita Consumption

The average amount of goods or services consumed per person in a given population or area.

Birthrates

The number of live births per thousand of population per year, indicating the rate at which a population is growing.

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