Given the logistic growth model: N(t) = k / 1 + be^-rt Which statement below is false? a) Initially, the graph resembles an exponential function. b) The t-value of the inflection point is the time of the most rapid growth. c) The constant b in the formula above can be found using the equation: b = ( k / N (0) ) − 1. d) The function value at the inflection point is half of the carrying capacity. e) The graph is concave down before the inflection point, and concave up after the inflection point. f) After the inflection point, the growth rate declines to a limiting value.
Given the logistic growth model: N(t) = k / 1 + be^-rt Which statement below is false? a) Initially, the graph resembles an exponential function. b) The t-value of the inflection point is the time of the most rapid growth. c) The constant b in the formula above can be found using the equation: b = ( k / N (0) ) − 1. d) The function value at the inflection point is half of the carrying capacity. e) The graph is concave down before the inflection point, and concave up after the inflection point. f) After the inflection point, the growth rate declines to a limiting value.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Given the logistic growth model:
N(t) = k / 1 + be^-rt
Which statement below is false?
a) Initially, the graph resembles an exponential function.
b) The t-value of the inflection point is the time of the most rapid growth.
c) The constant b in the formula above can be found using the equation: b = ( k / N (0) ) − 1.
d) The function value at the inflection point is half of the carrying capacity.
e) The graph is concave down before the inflection point, and concave up after the inflection point.
f) After the inflection point, the growth rate declines to a limiting value.
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