The number of bacteria in a culture is given by the function n(t)=990 e⁰°⁴⁺
where t is measured in hours.
(a) What is the exponential rate of growth of this bacterium population?
Your answer is
(b) What is the initial population of the culture (at t=0 )?
Your answer is
(c) How many bacteria will the culture contain at time t=4 ?
Your answer is

An object with initial temperature 120° F is submerged in large tank of water whose temperature is 50° F. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is k=1.6
F(t)=

Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation d T/d t=k(T-A), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and k is a constant of proportionality.
Suppose that a cup of coffee begins at 178 degrees and, after sitting in room temperature of 64 degrees for 16 minutes, the coffee reaches 170 degrees. How long will it take before the coffee reaches 157 degrees?
Include at least 2 decimal places in your answer.
minutes

A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. Give answers accurate to at least 2 decimal places.
(a) If the temperature of the turkey is 142 Fahrenheit after half an hour, what is its temperature after 45 minutes?
Fahrenheit
(b) When will the turkey cool to 100 Fahrenheit?
hours.