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

question 31

Essay

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

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Definitions:

Perpetuity

A financial instrument that provides endless payments of a fixed amount of money, often used to model the value of stable companies.

Semi-annually

Occurring twice a year, or every six months.

Compounded

The method of calculating interest where the accumulated interest is added back to the principal sum, so that interest in the next period is then earned on the principal plus previously accumulated interest.

Principal

The original amount of money invested or loaned, before interest.