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Unformatted text preview: that we can’t deﬁne k y te kt dt M y f x dx lim y f x d x tl t 62. The average speed of molecules in an ideal gas is
2RT 32 y 0 v 3e Mv 2 2RT dv where M is the molecular weight of the gas, R is the gas
constant, T is the gas temperature, and v is the molecular
speed. Show that
M 63. We know from Example 1 that the region x, y x
that by rotating
ﬁnite volume. 0 t 1, 0 y 1 x has inﬁnite area. Show
about the x-axis we obtain a solid with For the radioactive carbon isotope, 14 C, used in radiocarbon
dating, the value of k is 0.000121. Find the mean life of a
69. Determine how large the number a has to be so that y 65. Find the escape velocity v0 that is needed to propel a rock...
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- Fall '07