Population of the world, (x) is assumed to be a continuous variable at time t years. The rate ofincrease of x due to birth is ax and the rate of decrease of x due to death is Bx, where a and B arepositive constant.a. By applying differential equation concept and assuming a = 0.060 and B = 0.040. Showthe population of the world (x) double itself in approximately 35 years. Justify your answer.b. By using appropriate scale, draw the graph of world population growth.

Answered: Image /qna-images/answer/da7cb77c-da63-4847-9001-03e4b0e41350.jpg

Answered: Population of the world, (x) is assumed…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The rabbit population at the city park increases by 16% per year. If there are intially 119 rabbits in the city park. 1. Write a model for the population (y) in terms of years (t). y= 2. Find the rabbit population in 17 years. (Round to the nearest whole rabbit)= 3. [Estimate] When the rabbit population reaches 11033. It will happen between year and year
A virus spreads by contact and if you get infected you stay contagious. In an isolated population with P persons (no-one dies or are born) the rate of infection at time t (in months after 1/1 2020) is proportional to the product of 1. the number y(t) that are infected, 2. the number that are not infected 3. eat where a is a negative number depending on disease preventive measures. One tenth of the population is infected 1/1-2020. (a) Write out the differential equation y(t) must satisfy and solve it (call the proportionality constant k and remember to explain each step of your solution carefully. Are there for instance any constant solutions?). (b) Find a relation between L = lim->00 y(t), a, Pand k. What can you say about L when a is very small? What can you say about L when a is very big?
The decay time is the time it takes for a radioactive substance to lose half of its amount. This function is given by A(t)=a e-.69*t/T where a is the initial amount, t is the time elapsed, T is the time it is known to decay by one-half and A(t) is the amount left. Plutonium has a half-life of 87.7 years. How much plutonium is left (of a 20 g sample) after 250 years?
dw To determine how fast a change in weight will occur, the most plausible assumption is that is proportional to the net excess (or deficit) C - 19.25w in the number of calories per day. Answer parts a. through e. dt below. a. Assume C is constant and write a differential equation to express this relationship. Use k to represent the constant of proportionality. dw dt

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS