Question

The population P of bees in a certain area increases
at a rate proportional to the current population with the
proportionality constant 5. There are 25000 bees in the area
initially, and birds eat 2500 bees per day. Determine the
population of bees in the area after 37 days. |

Answer #1

The population of mosquitoes in a certain area increases at a
rate proportional to the current population, and in the absence of
other factors, the population doubles each week. There are 800,000
mosquitoes in the area initially, and predators (birds, bats, and
so forth) eat 60,000 mosquitoes/day. Determine the population of
mosquitoes in the area at any time. (Note that the variable t
represents days.)

The population of mosquitoes in a certain area increases at a
rate proportional to the current population, and in the absence of
other factors, the population doubles each week. There are 700,000
mosquitoes in the area initially, and predators (birds, bats, and
so forth) eat 60,000 mosquitoes/day. Determine the population of
mosquitoes in the area at any time. (Note that the variable t
represents days.)

The population of mosquitoes in a certain area increases at a
rate proportional to the current population, and in the absence of
other factors, the population doubles each week. There are 700,000
mosquitoes in the area initially, and predators (birds, bats, and
so forth) eat 210,000 mosquitoes/week. Determine the population of
mosquitoes in the area at any time t in days.

The population of mosquitoes in a certain area increases at a
rate proportional to the current population, and in the absence of
other factors, the population doubles each week. There are 200,000
mosquitoes in the area initially, and predators (birds, bats, and
so forth) eat 50,000 mosquitoes/day. Determine the population of
mosquitoes in the area at any time. (Note that the variable
represents days.)
Correct answer :
200000*e^(ln(2)/7*t)-350000/ln(2)*(e^(ln(2)/7*t)-1)

8.(12pts)The (absolute) time rate of change of a certain rabbit
population P is proportional to the cube root of P. At t=0 (months)
the population is 1000 rabbits and is increasing at the rate of 50
rabbits per month. How many rabbits will be there six months later
(i.e. at t=6)?

The population of blue-finned mud twaddlers in Lake Rheely Whet
increases at a rate proportional to the number present at any time.
In the absence of any outside factors, the population will triple
in 3 weeks. However, each day, 15 mud twaddlers swim into the lake,
16 are eaten by predators, and 7 die of natural causes. If there
are initially 100 mud-twaddlers, will the population in Lake Rheely
Whet survive?

The rate of growth dP/dt of a population of bacteria is
proportional to the square root of t with a constant coefficient of
7, where P is the population size and t is the time in days
(0≤t≤10). The initial size of the population is 600. Approximate
the population after 7 days. Round the answer to the nearest
integer.

The population of a bacterial culture develops with constant
relative growth rate of 0.9758 per member per day. Initially the
population was one member. Determine the population size after 14
days.

A population of insects increases at a rate of 240+12t+0.3t^2
insects per day. Find the insect population after 5 days, assuming
that there are 70 insects t=0.

The size P of a certain insect population at time t (in days)
obeys the function
P(t)=600e0.06t.
(a) Determine the number of insects at
t=0 days.
(b) What is the growth rate of the insect
population?
(c) What is the population after 10 days?
(d) When will the insect population reach
720?
(e) When will the insect population
double?

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