1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve:9,000P =1 2e-0.2twhere t is measured in months since the lake was initially stocked.a. Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain.

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Asked Dec 3, 2019
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1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve:
9,000
P =
1 2e
-0.2t
where t is measured in months since the lake was initially stocked.
a. Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain.
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1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve: 9,000 P = 1 2e -0.2t where t is measured in months since the lake was initially stocked. a. Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain.

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Expert Answer

Step 1

Given function is

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9000 P(t) 1+2e02 (1)

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Step 2

Graph:

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P(t) 9000 8000 7000 6000 5000 4000 3000 2000 1000 -75 -50 25 0 25 75 100 t 50

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Step 3

For interce...

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For t axis intercepts, P(t) 0 9000 =0 1+2e0.2 No intercept at t axis For P(t)axis intercepts, t 0 9000 P(t)= 1+2e P(t) 3000 Intercept at (0,3000)

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Math

Algebra

Exponents