A particular type of bacteria is found to be capable of doubling in number about every48.4 minutes. The number N of bacteria present after t minutes could be modeled byN(t) = Noe0.014t. Suppose that No = 600,000 is the initial number of bacteria per milliliter.Complete parts (a) and (b) below.(a) Approximate the number of bacteria per milliliter after 2 hours.bacteria per milliliter.After 2 hours, there are approximately(Round to the nearest thousand as needed.)

The number N of bacteria present after t minutes is modeled by:Nt=N0e0.014t . . . (1) The initial…

Answered: A particular type of bacteria is found…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The doubling period of a bacterial population is 10 minutes. At time t = 80 minutes, the bacterial population was 70000. What was the initial population at time t = 0? Find the size of the bacterial population after 5 hours.
The population P of a city is given by P = 80, 000e0.015t where t represents the year, with t = 0 corresponding to 2000. Use the model to predict the year in which the population of the city will reach 100,000.
A population of fish in a newly dug pond grows according to the equation P = 6000 1+ Se-0.2t where time t is given in years. In how many years will there be 3000 fish in the pond? (Round your answer to two decimal places.) years
The doubling period of a baterial population is 10 minutes. At time t = was 60000. Round your answers to the nearest bacteria. What was the initial population at time t = 0? Find the size of the baterial population after 5 hours. 110 minutes, the baterial population
The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds (ii)0.05 seconds (iii)0.01 seconds (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.
(3) Yeast is added to a vat of grape juice in order to ferment it to make wine. The amount of yeast present in the vat doubles every 4 hours after it is added. Suppose that 5 grams of yeast is added to the vat at t = 0.
i have been stuck on this for a while and i am stumped may i have some help please? Consider a drug that is taken in 50 mg doses daily. Suppose that the first dose is taken when t=0 and that t is measured in hours. A) If the half-life of the drug is 5.5 hours, what fraction of the drug remains in the patient after 24 hours? B) Write a general expression for the amount of the drug in the patient immediately after taking the nth dose of the drug. C ) Write a general expression for the amount of the drug in the patient immediately before taking the nnth dose of the drug (for this we only consider n>1). D) What is the long-term minimum amount of drug in the patient?
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

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS