Explanation Given information: The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land. The proportion, P , of land in use for farming t years after 1935 is modeled with the below logistic function, P = 1 1 + 3 e − 0.0275 t Calculation: The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land. The proportion, P , of land in use for farming t years after 1935 is modeled with the below logistic function, P = 1 1 + 3 e − 0.0275 t Since t = years since 1935 To determine (b) What is the long run prediction of the given model. To determine (c) When was the half of the land in use for farming. To determine (d) When is the proportion of land used for farming increasing most rapidly.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 4.7, Problem 10P

To determine

(a)

What proportion of the land was in use for farming in 1935.

To determine

(b)

What is the long run prediction of the given model.

To determine

(c)

When was the half of the land in use for farming.

To determine

(d)

When is the proportion of land used for farming increasing most rapidly.

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Chapter 4.7, Problem 9P

Chapter 4.7, Problem 11P

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

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