One reason for the increase in the life span over the years has been the advances in medical technology.

lwfrgin 2021-09-30 Answered
One reason for the increase in the life span over the years has been the advances in medical technology. The average life span for American women from Email-trough 2007 is given by \(\displaystyle{W}{\left({t}\right)}={49.9}+{17.1}{\ln{{t}}}{\left({1}\leq{t}\right)}\) where W(t) is measured in years and t is measured in 20-year intervals, with t=1 corresponding to the beginning of 1907.
a. Show that W is increasing on (1, 6).
b. What can you say about the concavity of the graph of W on the interval (1, 6)?

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Expert Answer

liingliing8
Answered 2021-10-01 Author has 11564 answers
a) Calculating W'(t) we conclude that W is increasing on (1,6).
b) Calculating W"(t) we conclude that W is concave downward on (1,6).
w(t) is concave downwards in (1,6)
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