# EGR 103/Roots Extrema

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## Contents

## Basic Root-Finding Problems

- Main thing is to look at MATLAB:Fzero and the different ways of calling it.
- The sign plots are really helpful.
- The last equation has three sign changes but only two roots

## Basic Min/Max Finding Problems

- Main thing is to look at MATLAB:Fminbnd and the different ways of calling it.

## Palm Problem 3.13

- This eventually becomes a one-parameter search problem. Though you are using
`fminbnd`

here, there is an example for a one-parameter search at MATLAB:Fzero#One_Parameter; the example is based on`fzero`

versus`fminbnd`

but the concept is the same.

## Chapra Problem 6.14

- This is a two-parameter search problem. There is an examples for a two-parameter searches at MATLAB:Fzero#Two_Parameters

## Chapra 6.21

- This simply requires using
`fzero`

twice - just be careful on how you initialize`fzero`

and also be careful about units for the angles.