Chapter 14.5, Problem 56E

Meteor Impacts (continuing Exercise 55.)

a. Explain why the integral

${\displaystyle {\int }_a^{b}kn\left(k\right)dk}$

Computes the total energy releasing each year by meteors with energies between a and b megatons.

b. Compute and interpret

${\displaystyle {\int }_0^{1}kn\left(k\right)dk}$.

c. Compute and interpret

${\displaystyle {\int }_1^{+\infty }kn\left(k\right)dk}$