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The discrete-time dynamical system of a lung with absorption is given by the following equation. ct + 1 = (1 - 1* q)*(1 - 1*α)*ct + γ* q. In this equation q denotes the fraction of air that is expelled with each breath, c denotes the concentration of the chemical you are considering in the lungs, α is the fraction of the chemical that is absorbed with each breath, and γ denotes the ambient concentration of the chemical in the atmosphere. An animal is living in a cave and the air in the cave contains a certain chemical we are interested in studying. Suppose the animal has a lung capacity of 10 liters and exhales .6 liters of air with each breath. The ambient concentration of the chemical in the air in the cave is .031, in other words, 3.1% of the air in the cave consists of the chemical. At equilibrium, the concentration of the chemical in the animal's lungs is .018, in other words, 1.8% of the air in the animal's lungs consists of the chemical. What is the fraction of the chemical that is absorbed with each breath by the animal? Your answer for α should be written as a decimal, not as a percent.
Flip the fern by interchanging its x - and y -coordinates. What happens to the fern if you change the only nonzero element in the matrix A4?
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sarah buys x pounds of almonds priced at y dollars per pound. jack spends the same amount of money on walnuts priced
Pronet has annual sales of $724 million from its 600 retail stores. Pronet can reduce its mail float by 2 days through the use of wire transfers. The annual cost of the wire transfers is expected to be $105,610.
The probability distribution of the number of machines
Eight parties have arrived and are waiting for tables at a restaurant but are seated in random order. What is the probability that the parties are seated in the order in which they arrived?
A contractor digs a hole for the basement of a house that is 40 feet long and 10 1/2 feet deep. What is the width of the hole if 6,510 cubic feet are removed?
A power pseudo-random number generator is the following: start with a prime p, exponent d>1 and seed x0 such that (d,p-1)=1. Then form xn+1=xnd(mod p) for each n. a)Determine the period of the random number generator in terms of p, d and x0.
Unknown to public health officials, a person with a highly contagious disease enters the population. During each period he either infects a new person which occurs with probability p, or his symptoms appear and he is discovered by public health offic..
When might each method be most appropriate? Which method do you prefer? Why?
The 4 runners on a relay team all want to run the same distance in a race. The coach says that the first runner will go 1/4 of the distance. Then the second runner will go 1/3 of the remaining distance
Formulate this problem to find the best combination of the two supplements to meet the minimum requirements at the least cost. Solve for the optimal solution by the simplex method.
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