The size of the population of goats after t years is given by A(t) Age. Suppose I start with a population of 200 goats, and then after 4 years there are 320 goats.

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: 7- 106 y(t) = = 0,69 - 107 1+ 1399999e-0,23t

A:

Q: Carrying Capacity. The World Wildlife Fund has placed 1000 rare pygmy elephants in a conservation…

A: Given that the initial number of elephants in the conservation area is 1000. The carrying capacity…

Q: Help with #4.35 please.

A: Consider the given equation as,

Q: Find L{e3tsin2t}.

A:

Q: The number of reported crimes in a city was about 22,700 in a recent year. Due to the creation of a…

A: As given in question, the crime decreases 8%, it retains 92% of the previous year at the end of…

Q: Suppose the population of a town is 8,600 and is growing 3% each year. Predict the population after…

A: Population in 1 year = 8600 + 8600*3/100                                          =8858 Population…

Q: Let T be the number of years since 1988. What does t = 12 mean in this situation?

A: It is given that T is the number of years since 1988.

Q: A rumor started in a town with a population of 10000 people. The rumor spreads in proportion to the…

A:

Q: Roche manufactures Tamiflu to treat flu symptoms. Roche manufactured 5.5 million treatments of…

A: Roche manufactures Tamiflu to treat flu symptoms. Roche manufactured 5.5 million treatments of…

Q: a population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there…

A: In the given question we have to find the population of bunnies after 5 years.

Q: . How many extra coconut trees should you plant?

A: No of extra coconut trees

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A:

Q: Help with #6.27 please.

A: To prove that the intersection of any number of closed sets in E is closed.

Q: For what two population levels will the population grow by 2 thousand over a day ?

A: Given G=-0.03n2+n Where G is the population growth and n is  the population size . For G=2000 find…

Q: A fish population starts at 15000. The (annual) birth rate is 0.4; the (annual) death rate is 0.3.…

A: This question is based on basic calculation.

Q: 470 t = +/+ = 18.317 sec. & 0.0167 t'

A: Given that :-      =>    0.0167(t^4/4) = 470  Now both side divide by 0.0167, we get       =>…

Q: The gestation period of rabbits is about 29 to 35 days. Therefore the population of a form can…

A: Given,

Q: Let t be the number of years since 1989. What does t=6 mean in this situation

A: In this case, t represents the number of years since 1989.

Q: Find the population of fish at 10 years if p(0) = 1000

A: Given, dpdt= et2 -300   We have  to Find the population of fish at 10 years if p(0) = 1000

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.