$Q_2,(10$ marks$)$

i$.$ Create a $3^{rd}$ order Newton's approximation to interpolate between the mid between $(5^{nd}$ and $7^{rd})$ for a current$-$voltage current relation in a diode. Compute the model error for any chosen point by you. $(7)$

ii$.$ Write a computer algorithm $($code$)$ to compute for this model. $(3)$