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Compute the Area of the Finite Region Bounded by the Graphs

question 21

Multiple Choice

Compute the area of the finite region bounded by the graphs of the functions y=5x2y = 5 x ^ { 2 } ,and y=5x220x+80y = - 5 x ^ { 2 } - 20 x + 80 .


Definitions:

Alkene

A hydrocarbon containing at least one carbon-carbon double bond, characterized by the general formula CnH2n.

Cyclohexene

A cyclic hydrocarbon with the formula C6H10, characterized by the presence of a double bond in the ring structure.

Concentrated KMnO4

Potassium permanganate in a high concentration, a strong oxidizing agent used in qualitative organic analyses and in various other chemical processes.

1-Hexanol

An organic alcohol compound with a six-carbon chain terminating in a hydroxyl group, used primarily as a flavoring agent or perfume ingredient.

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