Description
Homework Sets
Explanation & Answer
Dear Ben,Please find enclosed the hardcopy files of the tasks due tonight.Best regards,Carmen
Benjamin Malambo
Sharma MAT 275 ONLINE B Summer 2016
Assignment Section 2.3 Modeling with First Order due 07/10/2016 at 11:59pm MST
• 0
• 99(1-exp(-t/330))
• 99
1. (1 point)
Newton’s law of cooling says that the rate of cooling of an
object is proportional to the difference between the temperature
of the object and that of its surroundings (provided the difference is not too large).
If T = T (t) represents the temperature of a (warm) object
at time t, A represents the ambient (cool) temperature, and k is
a negative constant of proportionality, which equation(s) accurately characterize Newton’s law?
• A. dT
dt = k(T − A)
dT
• B. dt = kT (1 − T /A)
• C. dT
dt = k(A − T )
dT
• D. dt = kT (T − A)
• E. All of the above
• F. None of the above
(correct)
4. (1 point) A tank contains 90 kg of salt and 2000 L of
water. A solution of a concentration 0.0225 kg of salt per liter
enters a tank at the rate 5 L/min. The solution is mixed and
drains from the tank at the same rate.
(a) What is the concentration of our solution in the tank initially?
(kg/L)
concentration =
(b) Find the amount of salt in the tank after 2 hours.
amount =
(kg)
(c) Find the concentration of salt in the solution in the tank
as time approaches infinity.
(kg/L)
concentration =
Answer(s) submitted:
• A
(correct)
2. (1 point) Water leaks from a vertical cylindrical tank
through a small hole in its base at a rate proportional to the
square root of the volume of water remaining. T...
