$(5$ points$)$ Let $f(x)$ be a function that satisfies $|f^{\text{'}\text{'}}(x)|6$ on the interval $[3,7].$ Choose the smallest $n$ so that we can be sure that $E_M=|M_n-{\displaystyle \underset{3}{\overset{7}{}}}f(x)dx|0\mathrm{.}002,$ where $M_n$ is the midpoint approximation with $n$ intervals.

A$.n=106$

B$)n=90$

C$.n=84$

D$.n=26$

E$.n=140$