Homework Help is Here – Start Your Trial Now!
Math
Calculus
A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there are 90 panthers in the preserve. The Florida preserve has a carrying capacity of 240 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = 240 1+15e -1.1t X (b) Find the population after 5 years. (Round your answer to the nearest whole number.) 233 X panthers (c) When will the population reach 120? (Round your answer to two decimal places.) 2.46 yr

A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there are 90 panthers in the preserve. The Florida preserve has a carrying capacity of 240 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = 240 1+15e -1.1t X (b) Find the population after 5 years. (Round your answer to the nearest whole number.) 233 X panthers (c) When will the population reach 120? (Round your answer to two decimal places.) 2.46 yr

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

I need hlep with this problem I submit this question alot of times to get help but all the answers were wrong please help me

A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there are 90 panthers in the preserve. The Florida preserve has a carrying capacity of 240 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = 240 1 + 15e -1.1t X (b) Find the population after 5 years. (Round your answer to the nearest whole number.) 233 X panthers (c) When will the population reach 120? (Round your answer to two decimal places.) 2.46 yr dP dt P(5)≈ (d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Use the initial release population of 15 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.) (e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.) yr
Transcribed Image Text:A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there are 90 panthers in the preserve. The Florida preserve has a carrying capacity of 240 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = 240 1 + 15e -1.1t X (b) Find the population after 5 years. (Round your answer to the nearest whole number.) 233 X panthers (c) When will the population reach 120? (Round your answer to two decimal places.) 2.46 yr dP dt P(5)≈ (d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Use the initial release population of 15 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.) (e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.) yr
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS