2. The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant k = 0.3 day-¹ and carrying capacity A = 500. a) Find a formula for the larvae population P(t), assuming an initial population Po = 50 larvae. b) After how many days will the larvae population reach 200?
2. The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant k = 0.3 day-¹ and carrying capacity A = 500. a) Find a formula for the larvae population P(t), assuming an initial population Po = 50 larvae. b) After how many days will the larvae population reach 200?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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PLEASE ANSWER ALL PARTS ASAP!!!!! VERY URGENT!!!!
![2. The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic
equation with growth constant k = 0.3 day-¹ and carrying capacity A = 500.
a) Find a formula for the larvae population P(t), assuming an initial population På = 50 larvae.
b) After how many days will the larvae population reach 200?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2daf8f3-113d-48f5-9b15-0b37d7046821%2F7d1f2e57-379b-4120-8341-6da0e78da9f1%2Fgbgum77_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic
equation with growth constant k = 0.3 day-¹ and carrying capacity A = 500.
a) Find a formula for the larvae population P(t), assuming an initial population På = 50 larvae.
b) After how many days will the larvae population reach 200?
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