CALCULATE:11A The gross primary productivity of an ecosystem is 3.5 kgC/m2/year, and the energy needed by theproducers for their own respiration is 3.0 kgC/m2/year. What is the net primary productivity of such anecosystem?11b The net annual primary productivity of a particular wetland ecosystem is found to be 2,000kcal/m2. If respiration by the aquatic producers is 18,000 kcal/m2 per year, what is the gross annualprimary productivity for this ecosystem, in kcal/m2 per year?

Part(a): Given, Gross primary productivity =3.5 kgC/m2/year And energy needed for their own…

Answered: 11A The gross primary productivity of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of bowling water. How long will it take the bar to reach 90°C if it is known that its temperature increase to 22°C in 1 second?
6. Doctors can measure the amount of blood in a patient by injecting a known volume of red blood cells tagged with chromium-51. After allowing the blood to mix, they measure the percentage of tagged cells in a sample of the patient's blood and use a proportion to compute the original blood volume. Chromium-51 has a half-life of 27.7 days. How many days would it take for 70% of the Chromium-51 sample to decay? Round to the nearest tenth.
Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km3, and water flows from lake A into lake B, and from lake B into lake C, both inflows and outflows at the same rate of 525 km3/year. Suppose that at time t=0 (years), the pollutant concentration of lake B, caused by past industrial pollution that has now been ordered to cease, is five times that of lake A. If the outflow from lake B to lake C is perfectly mixed lake water, how long will it take to reduce the pollution concentration in lake B to twice that of lake A? Choose all correct answers. B Approximately 6.3 years. Approximately 4.4 years. Approximately 5 years. Approximately 8.3 years. Approximately 7 years.
4. The population of a trading area is currently 100 thousand. At time t years from now population will be growing at the rate of 20 (0.5t + 9)7 thousand per year. a) What will total population be 11 years from now? b) How long will it take the population to reach 260 thousand?
8. Suppose that a bacteria population doubles every eleven hours. If the initial population is 2,000 individuals, approximately how many hours would it take the population to reach 20,000?
2. Theorem LF = LD = G 63 E
a) f(x) = (23*-6) –
8. The half-life of caffeine (how long it takes for the amount of caffeine in your system to cut in half) is about 5 hours. If there is currently 5.7 mg/L of caffeine in your blood, how long until there will only be 2.3 mg/L of caffeine in your blood?
5. A patient initially has a concentration of 50mg/L of morphine in her blood and 70mg/L in her cerebrospinal fluid. Suppose that the drug moves into the cerebrospinal fluid at a per-capita rate of .4 and that the amount that is moved back from the cerebrospinal fluid to the bloodstream is .2. Suppose further that the metabolism of medicine in the bloodstream is .1 and the metabolism of the drug in the cerebrospinal fluid is .2 Blood cerebrospinal fluid ( brain ) Let x(t) represent the concentration in the blood and y(t) represent the concentration in the brain area. Finish this compartment diagram. Explain why this is a mathematical model for this process. dx = -.5x + .2y dt dy = .4x – 4y dt Solve for x(t) and y(t) given the initial conditions stated above. Simplify each expression as much as possible and write them in the blanks below. On the next page you must show all of your calculations. X(t)= Y(t)= .
22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what wass the mass 200 years ago? b) How long will it take for the sample to be reduced by 75%%
solve
7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?

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