Show That the Function Has Exactly One Zero in the Given

question 29

Essay

Show that the function has exactly one zero in the given interval.
- $r ( \theta ) = 4 \cot \theta + \frac { 1 } { \theta ^ { 2 } } + 6 , ( 0 , \pi )$

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Definitions:

Future Value Table

A mathematical table used to calculate the future value of an investment or loan based on a specific interest rate and time period.

Present Value Table

A table used to calculate the present value of a future amount of money or stream of cash flows given a specific discount rate.

Present Value of $1

The current worth of a single dollar to be received in the future, discounted at a specific interest rate.

Borrowed Asset

An asset that is temporarily acquired from another party under a loan agreement, to be returned after a specified period or upon fulfilling certain conditions.