Chapter 1.06

#1
#2 MTHT
#3
#4
#5
#6
#7
#8
#9
#10
#11
#12
#13
#14 Let's presume it means for t values up to your current age, not projecting into the future.
#15
#16, a graph is far better than an algebraic approach on this one.
#17, again a graph is easier than an algebraic approach
#18 c,d
#19 WEP
#20 WEP
#21
#22
#23

#25
#26 (and, what is the general name for this type of function?)
#27
#28
#29
#30
#31
#32 WEP
#33
#34
#35
#36

#38

#42 WEP

#45 WEP
#46 WEP
#47
#48

#51
#52 WEP
#53 WEP
#54
#55
#56

#58 WEP; hint, it depends on the kind of calculator.
Also try it in Excel?

#61
#62 WEP
#63

#65

#69 WEP; this ends up being important in Calc II. Hint: use a right
triangle, with a hypotenuse length of 1, and label one of the angles "theta"
and the opposite side length "x".

#76

QA: in the table for Example 11, we see that the ln(x)/sqrt(x) row eventually decreases toward 0. What does this tell us about how ln(x) grows compared to sqrt(x) ?

QB: If L=f(s) is the average # of people waiting at an airline counter when there are "s" servers working, then f^(-1) is ___________________ ?

QC: If d=f(v) is the distance you can go using v gallons of gasoline, then f^(-1) is ______________

QD: Repeat #23 using f(x)=1-exp(-2*x); this function and its inverse are often used in probability classes.

QE: WEP, repeat #23 using f(x)=1-exp(-2*x^b); again this function and its inverse are common in prob. classes.
 Here, "b" is a generic positive parameter.

QF: WEP, repeat #23 using f(x)=1-(b/x)^a, where a and b are positive parameters.