A Tank 5 Feet Long Has Cross-Sections N the Shape $y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2$

question 133

Essay

A tank 5 feet long has cross-sections n the shape of a parabola $y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2$ (where x and y are in feet). Suppose that the tank is filled to a depth of 3 feet with liquid weighing 15 lb/ft³. How much work is required to empty the tank by pumping the liquid over the edge of the tank?

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Definitions:

Market Imbalances

Situations where the quantity of a good or service supplied does not equal the quantity demanded, leading to surplus or shortage.

Drug Trade

The illegal production, distribution, and sale of drugs that are subject to drug prohibition laws.

Equilibrium Price

The market price at which the supply of an item equals the demand for it, leading to a stable market condition.

Black Markets

A market that operates outside the legal system in which either illegal goods are sold or legal goods are sold at illegal prices or terms.