A hot metal bar has a temperature of 260C. The metal bar 1s placed in a 20C room where it cools down over time. When the metal bar reaches a temperature of 130C, it is cooling at a rate of 1C per minute. a) Let u(t) be the temperature of the metal bar (C) after t minutes. Write down the differential equation and 1nitial condition to model this cooling process using Newton's Law of Cooling. du Write the DE in the form "= f(tu). b) Solve the IVP to find the temperature of the metal bar as a function of time. ) How long would it take for the metal bar to reach a temperature of 130C