For a particular material, the density states per energy unit per volume unit as function of the energy is given in the graph below:

$E_0=9*{10}^{-20}[J]$

$E_1=1\mathrm{.}3*{10}^{-19}[J]$

$E_2=2*{10}^{-19}[J]$

$E_3=2\mathrm{.}1*{10}^{-19}[J]$

$E_4=3*{10}^{-19}[J]$

$E_5=3\mathrm{.}3*{10}^{-19}[J]$

$N_0=3*{10}^{47}[J^{-1}{m}^{-3}]$

In addition given that the electrons density in this material is $1\mathrm{.}5*10^28[$#$/$m$^-3]$ Solve these sections:

$1.$ What is fermi energy at T $=300[$K$]?$ Find the energy in $[$eV$].$

$2.$ Determine the type of the material? metal, semiconductor, insulator$)$ explain your answer.

$3.$ Now change the electron density in the material to $1\mathrm{.}7*10^28[$#$/$m$^-3].$ And repeat the previous questions. Give me a clear and full answers with final answers