Question

In: Advanced Math

Description: A terrible zombie apocalypse is ravaging across planet earth. The number of zombies is growing...

Description: A terrible zombie apocalypse is ravaging across planet earth. The number of zombies is growing proportionally to the number of zombies present. After one month since the first infection, 100 million people had been infected and by the time another month had passed, there were 400 million infected.

1)  Construct a differential equation which models the number of zombies. Explain the reasoning behind how you constructed the model you chose to use. Discuss any potential shortcomings of your model. Describe any initial conditions associated with your model.

Solutions

Expert Solution


Related Solutions

The average density of planet earth is 5.52 g/cm3. Knowing that Earth has a mass of...
The average density of planet earth is 5.52 g/cm3. Knowing that Earth has a mass of 5.97*10^27g, determine the earth radius in miles. ( 1 mile = 1609 meters).
Snowball Earth: Mission to Planet Earth in the Distant Past In this class, we've learned about...
Snowball Earth: Mission to Planet Earth in the Distant Past In this class, we've learned about our planet, the Earth, and about many other planetary bodies in our solar system. We've seen that there are many interesting similarities and differences between them. The Earth resides in the warm inner solar system, near the Sun, but Venus and Mercury are even hotter than the Earth. Most of the solar system is farther from the Sun than the Earth is, so we've...
What is the diameter of Planet X in Earth diameters and in AU? (The diameter of...
What is the diameter of Planet X in Earth diameters and in AU? (The diameter of Earth is 1.3 × 107 m.)
Question 1 (B) 3 Marks A growing number of corporations across the globe adopt sustainable practices...
Question 1 (B) 3 Marks A growing number of corporations across the globe adopt sustainable practices that focus on environment, society and economic well-being with a mission for a brighter future. Required: Briefly comment on the challenges facing corporations on sustainable practices and provide examples where applicable.
On this “Living Planet” that we call Earth, there are lots of interesting events that take...
On this “Living Planet” that we call Earth, there are lots of interesting events that take place. These events are around us, which we see or do or experience regularly. At some point in time, your curiosity would have pushed you to ask questions about what’s going on? How does that happen? Well, leaving miracles apart, the answer to all these questions is “Physics.” In fact, Physics governs our everyday lives in one way or the other. A camera is...
The most efficient way to send a spacecraft from the earth to another planet is by...
The most efficient way to send a spacecraft from the earth to another planet is by using a Hohmann transfer orbit (the figure (Figure 1)). If the orbits of the departure and destination planets are circular, the Hohmann transfer orbit is an elliptical orbit whose perihelion and aphelion are tangent to the orbits of the two planets. The rockets are fired briefly at the departure planet to put the spacecraft into the transfer orbit; the spacecraft then coasts until it...
If you take a boat from earth and put it on a planet with twice earth’s...
If you take a boat from earth and put it on a planet with twice earth’s gravity, what would happen if you tried to float it in water? Hint: Think about the buoyancy force formula. (5 points) 2. You drop a cube of mass 1 kg into a cup of water. It sinks with an acceleration of 2 m/s^2. a. What is the buoyancy force of the water? (4 points) b. What is the density of the water if the...
Is trade likely responsible for growing inequality across countries?
Is trade likely responsible for growing inequality across countries?
Planet X has a mass of 6 times the mass of Earth, and its radius is...
Planet X has a mass of 6 times the mass of Earth, and its radius is 8 times the radius of Earth. A rocket takes off from Planet X's surface, with a velocity that is 1/3 vesc, where vesc is the escape velocity of the planet. How high from the center of Planet X does the rocket reach in meters?
A planet has the same density as Earth but has a surface gravitational acceleration of nine...
A planet has the same density as Earth but has a surface gravitational acceleration of nine times that of the Earth (a person would instantly black out if placed on the surface). What is the escape velocity from the planet? If the planet was in an orbit of 1 AU from a 1 M⊙ star, what is the maximum distance that a moon could orbit the planet?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT