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2023-02-16

How to find the local extrema for $f\left(x\right)=5x-{x}^{2}$?

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1. The quantitative measure of the extent to which an electric field applied to a dielectric material causes polarization is known as electric susceptibility.
2. A dielectric material is a nonmetallic material with a high specific resistance, a negative temperature coefficient of resistance, and a high insulation resistance.
3. When the polarization causes in material the slight displacement of positive and negative charge within the material.
4. The expression for electric susceptibility is
$\chi e=\frac{P}{\epsilon 0E}$
where P is the polarization, $\epsilon 0$ is the permittivity, E is the electric field.
5. The relation between electric susceptibility and dielectric constant
$K=1+\frac{X}{e}$
where $Xe$represents electric susceptibility, $\epsilon 0$ is the permittivity and K represents dielectric constant.
6. Electric susceptibility is a dimensionless quantity.
7. The greater a material's electric susceptibility, the greater its ability to polarize.
8. Electric susceptibility gives the measure of how easily a dielectric material can be polarized when placed in an electric field.

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