1000 1+9e-t The number of minnows in a back yard pond is modelled by the equation P(t) = Where is the time in years. [3 marks, 7 marks] P(t) Determine P (0) and lim P(t) and explain both their meanings. t→∞0 9000e-t Given that P' (t) determine the point of inflection and explain its meaning. (1+9e-t)² = t
1000 1+9e-t The number of minnows in a back yard pond is modelled by the equation P(t) = Where is the time in years. [3 marks, 7 marks] P(t) Determine P (0) and lim P(t) and explain both their meanings. t→∞0 9000e-t Given that P' (t) determine the point of inflection and explain its meaning. (1+9e-t)² = t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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The number of minnows in a backyard pond is modeled by the equation P(t) =1000/1+9e^-t
Where t is the time in years.
a) Determine P(0) and limt->infinity P (t) and explain both their meanings.
b) Given that P'(t) = 9000e^−t / (1+9e−t )2 , determine the point of inflection and explain its meaning.
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