3. A continuing increase of the population on Earth eventually encourages settlement of the moon and of Mars. After colonization of the moon and Mars, birth rates continue to exceed death rates on Earth, but life is hard away from Earth so that the opposite is true elsewhere in the solar system. Nonetheless, the rising Earth population constantly relocates to the moon and Mars depending on the relative differences in the population sizes. You have modelled the population dynamics via the following differential equations, where x1(t) is the Earth population at time t, x2(t) is the Moon population, a and x3(t) is the population on Mars. 3 (x1 - x2) – (X1 – X3) +X1 x' = xị = -(x2 - x1) -X2 - x3) – x2 (X3 (x3 - X2) = -

3. A continuing increase of the population on Earth eventually encourages settlement of the moon and of Mars. After colonization of the moon and Mars, birth rates continue to exceed death rates on Earth, but life is hard away from Earth so that the opposite is true elsewhere in the solar system. Nonetheless, the rising Earth population constantly relocates to the moon and Mars depending on the relative differences in the population sizes. You have modelled the population dynamics via the following differential equations, where x1(t) is the Earth population at time t, x2(t) is the Moon population, a and x3(t) is the population on Mars. 3 (x1 - x2) – (X1 – X3) +X1 x' = xị = -(x2 - x1) -X2 - x3) – x2 (X3 (x3 - X2) = -

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Types of Braking

A brake is a mechanical device that absorbs energy from a moving system and inhibits its motion. It helps to slow or stop a moving vehicle, axle, wheel, etc. The braking system uses friction between two types of surfaces that are pressed together that convert kinetic energy into heat energy. For instance, we know that in the case of regenerative braking, the brakes convert energy into electrical energy which can be used for later use. The conversion of kinetic heat energy into potential energy is stored in the form of pressurized oil or air. In the brake disc, oil, or fin, the eddy current brakes convert kinetic energy into the electric current with the help of a magnetic field which is converted into heat.Generally, such braking systems apply to the moving axles of wheels. They may also take other forms like moving fluids' surface. In the case of drag racing cars, both wheel brakes are used whereas in parachute or airplanes, both wheel brakes or drag flaps raised in to the air are used.

Question

3. A continuing increase of the population on Earth eventually encourages settlement of
the moon and of Mars. After colonization of the moon and Mars, birth rates continue to
exceed death rates on Earth, but life is hard away from Earth so that the opposite is
true elsewhere in the solar system. Nonetheless, the rising Earth population constantly
relocates to the moon and Mars depending on the relative differences in the population
sizes. You have modelled the population dynamics via the following differential
equations, where x1(t) is the Earth population at time t, x2(t) is the Moon population, a
and x3(t) is the population on Mars.
x' =-(서-X2)-(xi - Xs) + 극제
x = -x2 - x,) -(x2 - x3) - X2
(x3 - x,) -(x3 - x,) -
:(X2
X1
= -
mIN HIN 1N

a. If at time t = 0 there are five billion people on Earth, and no one on Moon and Mars,
what is the population distribution far in the future?
b. Suppose instead that at time t = 0,5/3 billion people were on the Moon, leaving
10/3 billion on Earth, with Mars as yet uncolonized. What is the population
distribution far in the future?
c. Explain the relationship between the result in (a) and (b).

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