The concentration of a solution is defined as the amount of a substance divided by the volume of the solution. Suppose a vat contains 20 kg of salt and 40 liters of water. At t = 0, water is added at a rate of 20 liters/minute, while salt is added at a rate of 6 kg/minute. A function giving the concentration after t minutes will be C'(t) = = kg/liter (express as a function of t) As time passes, the concentration will Decrease Increase to kg/liter.

Q: At time t = 0, a tank contains 30 oz of salt dissolved in 100 gallons of water. Then brine…

A: At time t=0, a tank contains 30 oz of salt dissolved in 100 gallons of water. Then brine containing…

Q: Use the separation of variables to find, if possible, product solutions (for λ = 0,2 = -a² and 2 =…

A: As per the question we are given a partial differential equation and we have to find its solution…

Q: The approximate rate of change in the number of design patent applications received in recent years…

A:

Q: The population of a small town is modelled by the function P(t)=14000(1.025)' where t is the number…

A: Given the population of a small-town is modelled by the function

Q: The number of bacteria in a culture is given by the function n(t)=920e0.4t◂=▸n⁡(t)=920⁢◂◽˙▸e0.4⁢t…

A: (a) The general equation for exponential growth is given by y=Aert, where A is the initial quantity…

Q: For a certain animal, the surface area S of the body is related to the body's weight W according to…

A: