The following equation is used to calculate the heat transfer Q in a boiler given the surface area A, the overall heat transfer coefficient U, the heating fluid inlet temperature T1, the heating fluid exit temperature T2, and the temperature of the boiling fluid Ts. Let T1 = 600 o F, Ts = 535 o F, and Q/(UA) = 34.1 o F. a. Show that a root exists between T2 = 536 o F and T2 = 580 o F. (Do not find the actual root yet.) b. Write a MATLAB program