$1.$ Plot the appropriate polarization curves for the following half$-$cell reactions and determine the corrosion potential and corrosion rate $($current density$)$ assuming activation control of both the anodic and cathodic processes. $(4$ points$)$

M $=$ M$++$ e$-,$ e $=-0\mathrm{.}8$ V$,$ io $=10-12$ A$/$cm$2$

H$++$ e$-=$ H$,$ e $=+0\mathrm{.}2$ V$,$ io $=10-9$ A$/$cm$2$

Ba$/$c $=+/-0\mathrm{.}1$ V$/$dec

If the reduction reaction is current limited at $10-6$ A$/$cm$2,$ recalculate the potential and corrosion rate by plotting on the attached sheet $(1$ point$).$