In a manufacturing process, a spherical piece of metal is subjected to radiative and convective heat transfer, resulting in the energy balanceequation f(T)=0.6 \times 5.67 \times 10^{-8} \times\left[(850)^{4}-T^{4}\right]-40 \times(T-350)=0 Obtain

a rough plot of the function f(T) versus T, and use the secant method to find the real root in the range 350 < T< 850. Also, use the roots function in MATLAB to obtain all the roots and compare the results with the root obtained earlier. Comment on the choice of the correct root.