The Spread of AIDS tive number N - N(t) of AIDS cases in the United States that

Question

The Spread of AIDS tive number N - N(t) of AIDS cases in the United States that have been reported to the Centers for Dis ease Control and Prevention by the end of the year given. (The source for these data, the U.S. Centers for Disease Control and Prevention in Atlanta, cau tions that they are subject to retrospective change.) a. What does mean in practical terms? b. From 2010 to 2014, was ever negative? 4. This table shows the cumula dN N = total t-year cases reported 2010 2011 2012 2013 2014 1,140,203 1,172,489 1,191,061 1,217,863 1,236,994

Explanation / Answer

Question 4

(a) Here the term dN/dt means the changed in the population over time at a perticular time t.

(b) Here we can calculate dN /dt for each year

dN/dt = (Change in population from this year to next year)/ change in time

so here for year there is positive change in the next year so there is no year where the value of dN/dt is negative.

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