ANSWER PLEASE! NO THEORETICAL!

A stirred tank has an inlet flow rate of wi and temperature Ti, and an existing flow rate of w and temperature T. A resistive heater is in the tank and supplies a constant amount of heat of Q. Additionally, however, heat leaks from the tank through convection, and can be quantified by Newton's Law of Cooling, which is Qconv=UA(TTa). Unlike in your heat transfer class, in this situation, the overall heat transfer coefficient, U, can vary with time because the velocity of the air in the room is also a function of time. U can be related to this velocity with: U(t)=U+bv(t)2 Determine the transfer function which relates the tank exit temperature, T, with the room's air velocity, v. Take Q, A, b, Ta, and U to be constants