The population growth (P) at any time in a city is governed by the equation dP (B-Dr)P, where r is the time (in years) and B and D are the birth and death dt rate, respectively. If B=0.1, D=1x10 and P = 10000 person, find: (a) P at any time. (b) P after 10 years.

The population growth (P) at any time in a city is governed by the equation dP (B-Dr)P, where r is the time (in years) and B and D are the birth and death dt rate, respectively. If B=0.1, D=1x10 and P = 10000 person, find: (a) P at any time. (b) P after 10 years.

Sustainable Energy

2nd Edition

ISBN:9781337551663

Author:DUNLAP, Richard A.

Publisher:DUNLAP, Richard A.

Chapter2: Past, Present, And Future World Energy Use

Section: Chapter Questions

Problem 20P

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Concept explainers

Quantity takeoff

Quantity takeoffs (QTO) are precise estimates of the materials and labor costs required to finish a construction project. During the pre-construction phase, an estimator prepares them, breaking down the project into smaller, more manageable parts that are easier to evaluate. These measurements are used to prepare a construction scope bid. Estimators examine the drawings, specifications, and models to figure out different quantities and their costs. Since, the components, their quantity, and price are all included in the model, quantity take-off can be done automatically using Building Information Modelling (BIM). The time taken for completing a construction project can be reduced by the use of quantity takeoff. These takeoffs are also called material takeoffs and construction takeoffs.

Question

The population growth (P) at any time in a city is governed by the equation
(B-Dr)P, where t is the time (in years) and B and D are the birth and death
dP
dt
rate, respectively. If B=0.1, D=1x10 and P = 10000 person, find:
(a) P at any time.
(b) P after 10 years.

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