Part 3: Exponential growth and decay(i) The growth in a colony of bacterialmodelled with thisbecanequation:Where:dxxx = Xdtx: Number of bacteriat: TimeUse the separation of variables method and the following pieces of informationto predict the time it will take to reach 100,000 bacteria. (At time t = 2 sec, thecolony has 10 bacteria and at time t = 4 sec, it has 2000.)

We can solve this differential equation by using the method of separation of variables. The basic…

Answered: Part 3: Exponential growth and decay…

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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Having completed your first few tasks, you move now to a portion of the lab where important bacteria are being grown. Based on the data collected, you have determined that the population of this bacteria in the range measured can be modeled as A (t) = 195(1.31)t, where t is given in days. To the nearest whole number, what will the bacteria population be after 5 days? The bacteria population will be Number
Directions: After t hours there are P(t) cells present in a culture, where: 1. How many cells were initially present?. 2. What is the growth constant? 3. When will the initial number of cells double?. 4. When will 14000 cells be present? P(0) = 3500 k= P(t) = 3500e0. t = 0.25 t = 2.75 0.25t 5.7 cells hours hours
Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At Hopewell Cape the water depth at low tide is about 2.0 m and at high tide it is about 12.0 m. The natural period of oscillation is a little more than 12 hours and on June 30, 2009, high tide occurred at 6:45 a.m. This helps explain the following model for the water depth D (in meters) as a function of time t (in hours after midnight) on that day: D(t) = 6 + 7 cos(0.503(t - 6.75)). How fast was the tide rising (or falling) at the following times? a. 6:00 a.m. b. 2:00 p.m.
Question 1 A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine solution containing 3 lb of salt per gallon is poured into the tank at the rate of 6 gal / min, while the well stirred mixture leaves the tank at the same rate. Find the time at which the mixture in the tank contains 6 lb of salt. (A) 0.216 min B) 0.168 min 2.13 min D) 0.02 min
Find the population of fish at 10 years if p(0) = 1000

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