Limited population growth: tortoise population. The tortoise population, P ( t ) , in a square mile of the Mojave Desert after t years can be approximated by the logistic equation P ( t ) = 3000 20 + 130 e − 0.214 t ( Source : www.deserttortoise.org) a. Find the tortoise population after 0 yr, 5 yr, 15 yr, and 25 yr. b. Find the rate of change in population, P ' ( t ) . c. Find the rate of change in the population after 0 yr, 5 yr, 15 yr, and 25 yr. d. What is the limiting value (see Exercise 42 ) for the population of tortoises in a square mile of the Mojave Desert?
Limited population growth: tortoise population. The tortoise population, P ( t ) , in a square mile of the Mojave Desert after t years can be approximated by the logistic equation P ( t ) = 3000 20 + 130 e − 0.214 t ( Source : www.deserttortoise.org) a. Find the tortoise population after 0 yr, 5 yr, 15 yr, and 25 yr. b. Find the rate of change in population, P ' ( t ) . c. Find the rate of change in the population after 0 yr, 5 yr, 15 yr, and 25 yr. d. What is the limiting value (see Exercise 42 ) for the population of tortoises in a square mile of the Mojave Desert?
Solution Summary: The author calculates the population of the tortoise in the Mojave desert after 0yr, 5
Limited population growth: tortoise population. The tortoise population,
P
(
t
)
,
in a square mile of the Mojave Desert after t years can be approximated by the logistic equation
P
(
t
)
=
3000
20
+
130
e
−
0.214
t
(Source: www.deserttortoise.org)
a. Find the tortoise population after 0 yr, 5 yr, 15 yr, and 25 yr.
b. Find the rate of change in population,
P
'
(
t
)
.
c. Find the rate of change in the population after 0 yr, 5 yr, 15 yr, and 25 yr.
d. What is the limiting value (see Exercise 42) for the population of tortoises in a square mile of the Mojave Desert?
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