Animal populations are not capable of unrestricted growth because of limited habitat and food supplies...
50.1K
Verified Solution
Link Copied!
Question
Calculus
Animal populations are not capable of unrestricted growth because of limited habitat and food supplies Under such conditions the population follows a logistic growth model P t 1 ke ct where c d and k are positive constants For a certain fish population in a small pond d 1200 k 11 c 0 2 and t is measured in years The fish were introduced into the pond a How many fish were originally put in the pond 100 fish b Find the population after 10 20 and 30 years Round your answers to the nearest whole number 10 years 1057 X fish 20 years 1108 30 years 1197 c Evaluate P t for large values of t What value does the population approach as t P t 0 x Does the graph shown confirm your calculations P 1200 1000 800 600 X fish X fish 400 200
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
