Find a Vector Function That Represents the Curve of Intersection $x ^ { 2 } + 5 y ^ { 2 } + 5 z ^ { 2 } = 25$

question 49

Short Answer

Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid $x ^ { 2 } + 5 y ^ { 2 } + 5 z ^ { 2 } = 25$ and the parabolic cylinder $y = x ^ { 2 }$ .

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Definitions:

Economies of Scale

The financial benefits gained by businesses as a result of their operating size, where the cost for each unit produced decreases as the scale of operation grows.

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 specified period.

Marginal Cost

The amount spent on manufacturing one more unit of a product.

Monopoly

A market structure characterized by a single seller, selling a unique product in the market. In a monopoly, the seller faces no competition, as he is the sole seller of goods with no close substitute.