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the amount of trash, in tons per year, produced by a town has been growing linearly, and is projected to continue growing according to the formula P(t) = 73+2t. Estimate the total trash that will be produced over the next 9 years by interpreting the integral as an area under the curve.

Respuesta :

Sorry I have to not leaned it

Applying the integral, it is found that 738 tons of trash will be produced over the next 9 weeks.

The total trash that will be produced over the next 9 years is given by the following integral:

[tex]T = \int_{0}^{9} P(t) dt[/tex]

Since [tex]P(t) = 73 + 2t[/tex], we have that:

[tex]T = \int_{0}^{9} (73 + 2t) dt[/tex]

[tex]T = 73t + t^2|_{t = 0}^{t = 9}[/tex]

Applying the Fundamental Theorem of Calculus:

[tex]T = 73(9) + 9^2 - [73(0) + 0^2] = 738[/tex]

738 tons of trash will be produced over the next 9 weeks.

A similar problem is given at https://brainly.com/question/13218582

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