QUESTION 2 A population P(t) (where t is the time in years) undergoes yearly seasonal fluctuations such that the rate o...
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...
- A population grows at a rate P' (t) = 300t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. b. Use the answer from part a to find the size of the population after 7 months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. P(t) = (Type an exact...
Hi, I need help with problem #13 please, particularly part b and c. , Find an upper bound for 12. 2 5 sinGr3) dx -2 e of infection of a disease in a population of 10,000 is given by the function R(t) 10,000 te people per month 13. The rate infec where t is the time in months since the disease broke out. a. Use technology to plot R(t). Why is this a rea- sonable description of a disease spreading...
Question 11 2 pts The population of Tribbles on the Enterprise grows at a rate that is proportional to the square of its size. If P() is the size of the population at time t, then the differential equation that describes the behavior of the function P(t) is dP - p2 Question 12 2 pts This continues the previous question. Sunore that at time t o the nanulation of Trihles is Pin and at time: the Question 12 2 pts...
The population of a Canadian city is modelled by P(t)=12t^2+800t+40000, where t is the time in years. When t=0, the year is 2007. In what year is the poulation predicted to 300000?
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
i need 13,14 and 15 please The table shows the population P (in millions) of the United States from 1800 to 1870 where t represents the number of years since 1800. Source: U.S. Bureau of the Census 5.3 10 7.2 9.6 30 129 40 17.0 50 23.2 60 31.4 70 39.8 12. Use a graphing calculator to find an exponential growth model and a logistic growth model for the data. Then graph both models. 13. Use the models from part...
Show which answer is for which, for the population question Pool of HW problems Linear Functions Set up linear equation to solve problem (I) (1-2) DRAFT e ollowing exercises, consider this scenario: The weight of a newborm is 7.5 pounds. 1 a month for its first year. a. Find the linear function that models the baby's weight b. Find a reasonable domain and range for the function c. If the function W is graphed, find and interpret the x- and...
I need Summary of this Paper i dont need long summary i need What methodology they used , what is the purpose of this paper and some conclusions and contributes of this paper. I need this for my Finishing Project so i need this ASAP please ( IN 1-2-3 HOURS PLEASE !!!) Budgetary Policy and Economic Growth Errol D'Souza The share of capital expenditures in government expenditures has been slipping and the tax reforms have not yet improved the income...