Chapter 14.5, Problem 55E

(a)

To determine

To calculate: The number of meteors of energy at least $k=0.2$ hit the Earth each year. The frequency of meteor impact on Earth is model by $n\left(k\right)=\frac{1}{5.6997k^{1.081}}$. Where, $n\left(k\right)=N\text{'}\left(k\right)$ and $N\left(k\right)$ is the average number of energy less than or equal to $k$ megatons that will hit the Earth in $1$ year.

(b)

To determine

To calculate: The investigated and interpreted integral in ${\displaystyle \underset{0}{\overset{1}{\int }}n\left(k\right)}dk$. The frequency of meteor impact on Earth is model by $n\left(k\right)=\frac{1}{5.6997k^{1.081}}$. Where, $n\left(k\right)=N\text{'}\left(k\right)$ and $N\left(k\right)$ is the average number of energy less than or equal to $k$ megatons that will hit the Earth in $1$ year.