A bucket of beluga food was removed from the refrigerator at 0600 hrs when its temperature was 40°F. The temperature of the room the food was placed in is a constant 65°F and at 0630 hrs, the temperature of the food was 50°F. a. Write the differential equation and initial conditions representing the temperature of the food, H, with respect to time, 1 (in minutes). Do not solve. dt b. Solve the differential equation you found in part a. Your final equation should be an equation for H in terms

solve the differential equation and state whether the corresponding motion is underdamped, overdamped, or critically damped.

In a nursery, the reason for spreading a virus epidemic is equal to half of those who have not gotten sick yet. if 200 children are enrolled in the nursery, give a differential equation for the number of children infected N with respect to time t in days. Solve the differential equation to answer the following: If a sick  child started the epidemic, will they all be infected three days later?

A thermometer reading 96o is placed inside a cold storage room with a constant temperature of 37o If the thermometer reads 88o in 5 minutes, how long before it reaches 53o Assume the cooling follows Newton's Law of Cooling: U = T + (Uo - T)ekt.