Work Design Problem $4\mathrm{.}2$ in the Book. Use MATLAB code and a writeup that includes the answer to the problem and the derivation of the heat equation for each type" of node. Also include discussion of how you determined the number of nodes to use $.$ IMPORTANT!! The last sentence reads "the surface of the heating element should not exceed $100$C to avoid boiling. Determine the required convective heat transfer coefficient, assuming it to be uniform over the surface of the heating element.