linear model of newton's law of cooling/warming modeling with first order problem, show all work. Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0 degrees Celsius and 100 degrees Celsius, respectively. A small metal bar, whose initial temperature is 100 degrees Celsius, is lowered into container A. After 1 minute the temperature the temperature of the bar is 90 degrees Celsius. After 2 minutes the bar is removed and instantly transferred to the other container. After 1 minute in container B the temperature rises 10 degrees Celsius. How long, measured from the start of the entire process, will it take the bar to reach 99.9 degrees Celsius?