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)?

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 $W\left(t\right)=49.9+17.1\mathrm{ln}t(1\le t)$ 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)?

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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liingliing8

Answered 2021-10-01
Author has **95** 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)

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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