[T] The relative rate of change of a differentiable function y = f ( x ) is given by . 100 ⋅ f ' ( x ) f ( x ) % . One model for population growth is a Gompertz growth function, given by P ( x ) = a e − b ⋅ e − c x where a, b, and c are constants. Find the relative rate of change formula for the generic Gompertz function. Use a. to find die relative rate of change of a population in x = 20 months when a = 204. b = 0.0198. and c = 0.15. Briefly interpret what the result of b. means.
[T] The relative rate of change of a differentiable function y = f ( x ) is given by . 100 ⋅ f ' ( x ) f ( x ) % . One model for population growth is a Gompertz growth function, given by P ( x ) = a e − b ⋅ e − c x where a, b, and c are constants. Find the relative rate of change formula for the generic Gompertz function. Use a. to find die relative rate of change of a population in x = 20 months when a = 204. b = 0.0198. and c = 0.15. Briefly interpret what the result of b. means.
[T] The relative rate of change of a differentiable function
y
=
f
(
x
)
is given by .
100
⋅
f
'
(
x
)
f
(
x
)
%
. One model for population growth is a Gompertz growth function, given by
P
(
x
)
=
a
e
−
b
⋅
e
−
c
x
where a, b, and c are constants.
Find the relative rate of change formula for the generic Gompertz function.
Use a. to find die relative rate of change of a population in x = 20 months when a = 204. b = 0.0198. and c = 0.15.
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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