Chapter 8.8, Problem 71E

Propulsion In Exercises 71 and 72, use the weight of the rocket to answer each question. (Use 4000 miles as the radius of Earth and do not consider the effect of air resistance.)

How much work is required to propel the rocket an unlimited distance away from Earth’s surface?

How far has the rocket traveled when half of the total work has occurred?

5-mctric-ton rocket

Probability A nonnegative function f is called a probability density function if

${\displaystyle {\int }_{-\infty }^{\infty }f\left(t\right)dt=1.}$

The probability that x lies between a and b is given by

$P\left(axb\right)={\displaystyle {\int }_a^{b}f\left(t\right)dt}$.