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Instantaneous Rate of Species Invasion

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Assume the area invaded by an invasive species is modeled by A(t)=10∗t2A(t)=10*t^2, where t is in years. What is the instantaneous rate of spread at t = 3 years?

A

90 square km per year

B

60 square km per year

C

30 square km per year

D

60 square km per year, since the derivative A′(t)=20∗tA'(t)=20*t evaluated at t = 3 gives 60.

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