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Find an Equation of the Tangent to the Curve at the Point

question 83

Short Answer

Find an equation of the tangent to the curve at the point by first eliminating the parameter.
x=et,y=(t9)2;(1,81)x = e ^ { t } , \quad y = ( t - 9 ) ^ { 2 } ; \quad ( 1,81 )


Definitions:

Balance Sheet

A financial statement that provides a snapshot of a company’s financial position at a specific point in time, showing assets, liabilities, and shareholder equity.

Liability

A financial obligation or debt owed by a company to others, often categorized as current or long-term.

Incremental Borrowing Rate

The interest rate a company would have to pay if it borrows funds, serving as an estimate for lease accounting when the implicit rate in the lease is unclear.

Balance Sheet

An accounting document that outlines the assets, liabilities, and owners' equity of a company on a specific date.

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