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After MtSt ρ\rho Of Ash at a Distance R (Meters)from the Center of Was

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After Mt.St.Helens erupted in 1980, it was found that ash was spread in decreasing density as a function of distance r from the center of the crater.Say that the density ρ\rho of ash at a distance r (meters)from the center of the crater is given by ρ(r)=20001+r2\rho(r)=\frac{2000}{1+r^{2}} kg/m2.Find the total amount of ash within 1400 meters of the center of the crater.Round to the nearest whole number and give your answer in kg.


Definitions:

Fixed Cost

A cost that does not vary with the level of output or sales, such as rent, salaries, and insurance premiums.

Overhead Cost

Indirect expenses related to the operation of a business, such as rent, utilities, and administrative salaries, that are not directly tied to the production of goods or services.

Total Revenue

The complete amount of income generated by a business from its sales or services before any costs or expenses are subtracted.

Marginal Costs

The cost added by producing one additional unit of a product or service.

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