Ap calc ch 8

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Calculus - Geometry

snashuhaimdinx Created by 6 mon ago

Cards in this deck(16)

1st order, seperable

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highest derivative that is in equation

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substitute y=f(x) and corresponding derivatives into diff eq

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dy/dx = f(x) * g(x) = diff functions have to be multiplied or divided by eachother

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C!

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Euler's method, slope fields

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an over or under est

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dp/dt = k*P k is proportionality constant or relative growth/decay rate

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P(t) = Ae^kt A is initial population- must be positive k is proportionality constant or relative growth/decay rate

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exponential decay

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exponential growth

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it accounts for carrying capacity/ ecosystem limitors

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dP/dt= kP(1-P/C) c is carrying capacity

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P(t) = c/1+A^-kt c is carrying capacity

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A= c-Po/po where po is initial population- A must be positive

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directly proportional to the particular rate of change of another event

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