If a cup of coffee has temperature 89°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 25 + 64e¬/52, What is the average temperature of the coffee during the first 24 minutes? average temp = °C

Motion on the moon The acceleration due to gravity on the moonis approximately g/6 (one-sixth its value on Earth). Compare thetime of flight, range, and maximum height of a projectile on themoon with the corresponding values on Earth.

A bacteria culture starts with 580 bacteria and grows at a rate proportional to its size. After 3 hours there will be 1740 bacteria.(a) Express the population after tt hours as a function of tt.population:  (function of t)(b) What will be the population after 3 hours?(c) How long will it take for the population to reach 1310 ?

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190 degrees Fahrenheit when freshly poured, and 2.5 minutes later has cooled to 180 degrees in a room at 62 degrees, determine when the coffee reaches a temperature of 145 degrees. The coffee will reach a temperature of 145 degrees in minutes.