An insulated object, whose initial temperature was 5◦C, is submerged in boiling water. It is known that the temperature of the object increases 3◦C in one hour.(a) Write an initial value problem that represents the change in the temperature, T,as a function of time (measured in hours).(b) Qualitatively analyze the behavior of the functionT(t).(c) Find an explicit solution forT(t).(d) How long will it take the bar to reach 90◦C . How long will it take the bar toreach 98◦C?