4. A crystal is growing according to the function () - 101.10', where is the radius...
A colony of bacteria is growing exponentially according to the function below, where T is in hours. How many bacteria are there after 7 hours? B(T)= 4*e^(0.8)T
A sample of bacteria is growing at an hourly rate of 15% according to the exponential growth function. The sample began with 11 bacteria. How many bacteria will be in the sample after 21 hours? Round your answer down to the nearest whole number. Provide your answer below: bacteria
37. A population of bacteria is growing according to the law (t)=0.01e' +8t+200, where tis measured in hours. How many bacteria are present at t = 10 hours? What is the rate of change of the population with respect to time when t = 10 hours?
3. Suppose a forestfire spreads in a circle with radius changing at the rate of r(t)=0.2e10 feet per minute, the variable t indicates the number of minutes since the fire started. At what rate is the area of the burning region increasing six hours after the fire started? Round your to nearest hundredth f(x)= of the burning region is increasing at a rate of ain units are clearly stated with your answer.) six hours after the fire started.
3. Suppose...
If a population of bacteria is growing at 30% per hour, starting with an initial population of 1000, what is the projected population 4 hours after the start using the exponential growth model? (Round your answer to the nearest whole number). A. 2856 B. 2197 C. 3713 D. 4000
Mathmatical modelling!
Q 4. (10 MARKS) Consider T(t), the number of travellers in an airport, where t denotes the time in hours after midnight. The rate that travellers arrive at the airport varies periodically and the rate that travellers depart from the airport is a constant 600 per hour, so we model T(t) by the differential equation 0, dr = a (2 +cos dt where a is a positive constant. At midnight each day there are 2000 travellers in the...
Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600 bacteria selected from this population reached the size of 2873 bacteria in two and a half hours. Find the continuous growth rate per hour. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
7. (7 pts) The number N() of bacteria in a culture is growing exponentially. When t=0 hours, Nt) = 5000 bacteria, and when 1 = 5 hours, N(O) = 30,000 bacteria. W a. Find the growth rate k. (Round to four decimal places.) In solamyes Isinoshorts non 11001nix on bald #7a: b. Write the function () that represents the number of bacteria after hours. #7b: c. After how many hours will the number of bacteria be 100,000? Round to the...
The number of bacteria in a certain sample increases according to the following function, where yo is the initial number present, and y is the number present at time t (in hours). y=yel 0.0291 How many hours does it take for the size of the sample to double? Do not round any intermediate computations, and round your answer to the nearest tenth. 1 hours X ortant 1011 ?
The number of computers infected by a computer virus increases according to the model VEO) 10086.539, where t is the time in hours. Find the number of computers infected after 1 hour, 2 hours, and 3 hours. (Round your answers to the nearest whole number.) (a) 1 hour computers (b) 2 hours computers (c) 3 hours computers