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Evaluate the function to answer the question.

Botanists have determined that some species of weed grow in a circular pattern. For one such species, the area A, in square meters, can be approximated by A(t) = 0.006πt^2 where t is the time in days after the growth of the weed first can be observed. Find the area (in square meters) this weed will cover 100 days after the growth is first observed.

Round to the nearest square meter.

Respuesta :

opudodennis

Answer:

[tex]A=188 \ m^2[/tex]

Step-by-step explanation:

The area unction for the weed's growth is given by [tex]A(t)=0.006\pi t^2[/tex].

-Given that t is in days and that 100 days has elapsed.

#We substitute the t value in the function to calculate the total area covered as:

[tex]A=0.006\pi t^2, t=100\\\\=0.006\pi \times 100^2\\\\=188.49556\approx 188[/tex]

Hence, the area covered by the weed after 100 days is approximately [tex]188 \ m^2[/tex]

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