Find Equations for the Tangent and Normal Lines to the Graph

question 64

Essay

Find equations for the tangent and normal lines to the graph of f(x) = x cos 6x at x = $\pi$ /6.

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Definitions:

Quantity Demanded

The total amount of a good or service that consumers are willing to purchase at a specific price level.

Equilibrium

A market condition in which the equilibrium of supply and demand leads to price stability.

Equilibrium Price

The price at which the quantity of a product offered is equal to the quantity of the product in demand, thus balancing supply and demand.

Surplus

A situation where the quantity of a good or service supplied exceeds the quantity demanded at the current price, often leading to a decrease in price.