The population of Cook island has always been modeled by a logistic equation P′=(−P) with growth rate =4 and carrying capacity =9000 with time t in years. Starting in 2000, 4 citizens of Cook island have left every year to become a mathematician, never to return.
What is the new differential equation modeling the population of the island P?

Step-by-step explanation:

The differential equation is modeled as follows:

P = r (C-P)

then

arranging gives:

Arranging the equation gives:

solving:

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more