A certain bacteria culture is observed to double its amount after two hours itwas initially observed. Predict the factor the initially observed population will bemultiplied to after another two hours, if the rate of growth of the culture isproportional to the current amount.Put your answer accurate up to four decimal places and use differentialequations.Also, if this certain bacteria culture is observed that the rate of growth of thepopulation P at any time t is proportional to the current amount. Show how thefollowing is the differential equation for this problem:dP= kPdtShow full solutions

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Answered: A certain bacteria culture is observed…

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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Initially 45 grams of radioactive substance was present. After 2 hours the mass had decreased by 5%. If the rate of decay is proportional to the amount of the substance present at a time t. Find the amount remaining after 28 hours Round your answer to 2 decimal places.
Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a pizza is removed from a 600°F oven and placed in a room whose temperature is 60°F. The temperature u (in °F) of the pizza at time t (in minutes) can be modeled by u(t)=60+540g-0.073t (a) According to the model, when will the temperature of the pizza be 500°F? (b) According to the model, when will the temperature of the pizza be 310°F? (a) t= minutes (Do not round until the final answer. Then round to the nearest minute as needed.) w an example Textbook Clear all
A tree farm starts with ten trees. Tree growth is expected to follow logistic growth with a first-order growth rate constant of r = 0.16 yr ' to a maximum of 8,000 trees. Write the equation that relates the number of trees (N) to time (1). What are the values of No, r, and K? Plot the number of trees over time if no harvesting occurs. Go out to about 70 years. What is the maximum sustainable yield (MSY)? How long should you wait before harvesting at the MSY? Determine the standing crop. (The standing crop is the number of trees at steady state when harvesting at the MSY.)
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Initially 87 grams of radioactive substance was present. After 4 hours the mass had decreased by 9%. If the rate of decay is proportional to the amount of the substance present at a time . Find the amount remaining after 15 hours Round your answer to 2 decimal places.
At the beginning of the last decade, a total of 7.2 million passengers took a cruise vacation. The global cruising industry has been growing at approximately 7% per year. Assume that this growth rate continues. Suppose N = (t) gives the number of passengers, in millions, that take a cruise vacation at year t. Answer parts (a), (b), (c), and (d) of the question. Click VERIFY to move to the next part. (a) Report the following. Use the pull-down menu to indicate the units. A0) = Number Click for List (b) If (t) is written in the form a-b’, do you predict the value of b to be greater than 1 or less than 1? O b is greater than 1 O b is less than 1 (c) Complete the boxes below to write a formula which gives N as a function of t, where t is in years. Do not round any values. Since your formula gives N in millions of people, check that it passes through the initial value x = 0, N= 7.2, as opposed to passing through x = 0, y = 7,200,000. N= Number ( Number (d) How many millions of cruise…
A sample of a radioactive substance has an initial mass of 761.7 mg. This substance follows a continuous exponential decay model and has a half-life of 9 days. (a) Lett be the time (in days) since the start of the experiment, and let y be the amount of the substance at time t. ASC Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = 0 e t (b) How much will be present in 5 days? Do not round any intermediate computations, and round your answer to the nearest tenth. mg F2 F3 DII F4 20 F5 F6 010 X F7 In ♫ S F8 F9 prt sc F10 home F11 end F12 insert Submit Assignment + Espai ? 11 delete

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