In a certain undeveloped country, the life expectancy of a person t years old is L(t) years,

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In a certain undeveloped country, the life expectancy of a person t years old is L(t) years, where L(t) = 41.6(1 + 1.07t)0.13

a. What is the life expectancy of a person in this country at birth? At age 50?

b. What is the average life expectancy of all people in this country between the ages of 10 and 70?

c. Find the age T such that L(T) = T. Call T the life limit for this country. What can be said about the life expectancy of a person older than T years?

d. Find the average life expectancy Le over the age interval 0 ≤ t ≤ T. Why is it reasonable to call Le the expected length of life for people in this country?

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Related Book For  answer-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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