Early Monday morning, the temperature in the lecture hall has fallen to 41°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 72°F. The time constant for the building is 1 2 hr. K₁ 3 1 = 3 hr and that for the building along with its heating system is == K Assuming that the outside temperature remains constant, what will be the temperature inside the lecture hall at 8:30 A.M.? When will the temperature inside the hall reach 67°F?

Athena is raising the Colorado state flag on the school’s flagpole. This is her first time raisingthe flag, so she is excited and raises the flag faster and faster. Athena soon feels tired andpauses for a short break. Finally she finishes raising the flag to the top and a slower steadyrate.At the end of the day, Athena lowers the flag. At first she lowers it slowly at a constantrate, and then lowers the flag faster and faster until the flag comes all the way down.Choose ONE of the graphs below that provides a graphical representation of the relationshipbetween time and the total distance traveled by the flag. Explain how your choice representseach part of the scenario.

A fish population starts at 15000. The (annual) birth rate is 0.4; the (annual) death rate is 0.3. In addition, 1500 fish are stocked each year, and 2000 are caught and removed from the population each year. Determine the size of the population after 1 year and 2 years Answer to the nearest 1.