(E)51.I.
II.
III.
(A)
(B)
(C)
(D)
(E)
52.
(A)
(B)
(C)
(D)
(E)
53.(A)
(B)
(C)
(D)
(E)54.BC ONLY QUESTIONS 51–53
Which of the following statements characterize(s) the logistic growth of a
population whose limiting value is L?
The rate of growth increases at first.
The growth rate attains a maximum when the population equals .
The growth rate approaches 0 as the population approaches L.
I only
II only
I and II only
II and III only
I, II, and III
Which of the following d.e.’s is not logistic?
P′ = P − P^2 (where k and A are constants)
Suppose P(t) denotes the size of an animal population at time t and its
growth is described by the d.e. . The population is
growing fastest
initially
when P = 500
when P = 1000
when
when According to Newton’s law of cooling, the temperature of an object
decreases at a rate proportional to the difference between its temperature
and that of the surrounding air. Suppose a corpse at a temperature of
32°C arrives at a mortuary where the temperature is kept at 10°C. Then