- #1
Math Henry
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Homework Statement
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Summarizing: two civilizations hate each other, one of the civilizations throws a curse at the second. The second civilization succumbs to chaos and has a change in Population each week of ΔP= -√P. That is:
Pn = Pn-1-√Pn-1
Homework Equations
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Considering that the civilization starts with a population of 676 people, how many week until it reaches zero?
The Attempt at a Solution
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I know it's solution uses differentiation and i know it's probably easy, but i can't seem to get a grasp at it, and it really frustrates me. I've done it manually and is ≅50 weeks, but that didn't satisfied me and i need that answer nice and tidy using calculus. Please help me out. Thanks in advance