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\nMath Puzzle - Zombies!!!\n

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\n\nPublisher:\n\nVirtually Passed\n\n\n
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\n500 Humans are at war with 500 Zombies! Assume Humans die at a rate proportional to the number of zombies.dH/dt = - 3Z (H = humans at any time t, and Z = zombies at any time t)Assume all dead humans convert to zombies, and zombies die...\n500 Humans are at war with 500 Zombies! Assume Humans die at a rate proportional to the number of zombies.

dH/dt = - 3Z (H = humans at any time t, and Z = zombies at any time t)

Assume all dead humans convert to zombies, and zombies die at a rate proportional to humans.

dZ/dt = 3Z - 5H (notice that humans are much more efficient at killing zombies but zombies can convert dead humans).

1) Find Z(t)
2) Who wins the war?\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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9:49
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Grade
Higher Ed
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Subjects
All Subjects
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Media Type
Instructional Videos
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Source:
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\nVirtually Passed\n\n
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Date
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2017
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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humans, halloween
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Additional Tags

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math puzzle, logic puzzle, zombies, rate proportional, dz dt, initial conditions, makes sense, zombies remaining, humans lose, equation, expression, question, differentiate, solution, 500 zombies, 516 zombies, 500 humans, means, minus, minus 2, minus 20, back, video, assume, number, dhpt, equal, amount, instant, find, function
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Math Puzzle - Zombies!!!\" href=\"/subscription/new\">\"Math\n\n
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