If a population growing exponentially double in size in $3$ year, what is intrinsic rate of increase $(r)$ of the population ? $(e = 2.71828)$

If a population growing exponentially double in size in $3$ years, what is the intrinsic rate of increase $(r)$ of the population?

Which of the following is correct

$I.$ In a population, birth rate and death rate refer to per capita births and death respectively

$II.$ In nature, we rarely find isolated single individuals of any species

$III.$ The size of population for any species is stable phenomena

$IV.$ Ecological effects of any factors on a population growth are generally reflected in its size/population density

The cause of zero growth of population is

$I.$ Population evolve to maximise their reproductive fitness, also called Darwinian reproductive fitness (higher $r$ value), in the habitat in which they live

$II.$ The population growth rate $r$ is inversely related to generation time

$III.$ The housefly, which has a short life span and produces a large number of eggs, could be considered as a ' $K$ ' selected species

$IV.$ Under a particular set of selection pressures, organisms evolve towards the most efficient reproductive strategies

$V.$ Life history traits of organisms have evolved in relation to the constraints imposed by biotic and abiotic factors in their habitat Select the combination of correct statements

Population growth curve in most animals, except humans is