The population of a Canadian city is modelled by P(t)=12t^2+800t+40000, where t is the time in years
The population P of a city grows exponentially according to the function P(t) = 8000(1.2) Osts where t is measured in years. (a) Find the population at time <= 0 and at time <= 2. (Round your answers to the nearest whole number.) PCO) P(2) - (b) When, to the nearest year, will the population reach 16,000? yr
QUESTION 2 A population P(t) (where t is the time in years) undergoes yearly seasonal fluctuations such that the rate of population growth is proportional to a fraction rP(t) of the total population, where r = cos 2rt Initially, the population is P After 3 months (1e 3/12 years), the population grows to 110% of its imitial sıze maximum value that P(t) can attain? At what tıme(s) does P(t) attan its maxımum? What is the [12]
QUESTION 2 A population...
The initial population of A city is 40000. In a year, the birth and death rates of this city are 0.7 and 0.55, respectively. There is a series migration problem from city B to city A with 0.3 rate every 2 years. The maximum carrying capacity of this city is 90000. Model the population of growth for the city A in Simulink. a) What is the number of people after 8.5 years in City A? b) How many years later...
The population of a city is modeled by the equation P(t) = 218,884e0.25t where t is measured in years. If the city continues to grow at this rate, in approximately how many years will it take for the population to reach one million? (Round your answer to two decimal places.)
7a & b, 9
= 7.85 h z Population Growth The population of a southern city follows the exponential law. If N is the population of the city and t is the time in vears, express N as a function of t. N(t) = Nock (b) If the population doubled in size over an 18-month period and the current population is 10,000, what will the population be 2 years from now? 25,198 & Population Decline The population of a midwestern...
The rate of growth of the population N(t) of a new city t years after its incorporation is estimated to be dN/dt = 400 + 900√t where 0 ≤ t ≤ 9. If the population was 5,000 at the time of incorporation, find the population 9 years later. The population 9 years later will be _______ . (Round to the nearest integer as needed.)
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2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2) (3) When is the particle moving in a positive direction? b) vct) -124+30 Ct-1 Ct d-9-12t t3t2 ve) c) Draw a diagram to show the motion of the particle with respect to a distance axis, Indicate key time values Determine...
An object moves along a line where s(t) = t^3 − 12t^2 + 36t − 30 (where s(t) is in feet and t in seconds). 1) When is the velocity 0? 2) When is the velocity positive? 3) When is the object moving to the left? 4) When is the acceleration positive? 5) Sketch a picture of its motion. Please label the numbers of the answers.
QUESTION 1 On an 1sland with only few predators, a population N(t) of rabbits (where t is the time in years) undergoes yearly seasonal varations such that the growth rate of their population is proportional to a fraction bN(t) of the total population, where b = cos2 rt Knowing that the initial population N(0) of rabbits is No >0, what ıs the maxımum value that N(t) can attain? Note that for k 0 sin(2kt 2 cos2(kt) dt = 4k 15...
the population of a city was 5 45 million. The exponential growth rate was 2 64% per year. a Find the exponential growth function b Estimate the population of the city in 2018 c) When will the population of the city be 7 million? d) Find the doubling time. a) The exponential growth function is P(t)# where t is in terms of the number of years since 2012 and Type exponential notation with positive exponents Do not simplity Use integers...