3) (25 pt] Comlpete the following using Matlab 11.27 The radial distribution of temperature in a current-carrying bare wire is described by: k d ( dT Ipe ( rdrl dr) T.. (3xD) where T is the temperature in K, r is the radial coordinate in m, k = 72 W/m/K is the thermal conductivity, 1 = 0.5A is the current, Pe = 32 x 10-8 12-m is the electrical resistivity, and D = 1 x 10 *m is the wire diameter. Use MATLAB's built-in function bvp4c to solve the equation for T(r). Solve twice for the following boundary conditions: dT (a) At r = 10-6 m, = 0 and at r = D/2, T = 300 K. dr dT (b) At r = 10-6 m, O and at r D/2, dT - (T(r = D/2) Tw), where h = 100 W/m is the con- dr dr k vection heat transfer coefficient and To 300 K is the ambient temperature. Important note: r = 0 is a singular point and must therefore be replaced with a small, non-zero value. As dT initial guesses, use T = 500 K and 0, and use 50 subintervals. dr = =