After the eruption of a volcano, it was found that ash fell on the surrounding l

Question

After the eruption of a volcano, it was found that ash fell on the surrounding land in decreasing density as a function of distance "r" from the center of the volcano. Suppose that the density of ash at a distance "r" miles from the center of the volcano is given by F(r)=17.1e^-0.01r tons per square mile. Find the number of tons of ash that fell wihin 100 miles of the center of the volcano. Show the process including a riemann sum and a definite integral, and then evaluate it analytically. Round to the nearest ton

Explanation / Answer

The number of tons of ash that fell wihin 100 miles of the center of the volcano = (Integral r = 0 to 100)17.1e^-0.01r = (-1/0.01)*17.1*e^-0.01r from 0 to 100 = 1081tonnes.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---