The projected population of a certain ethnic group(in millions) can be approximated by p(t)equals=39.63 left parenthesis 1.026 right parenthesis Superscript t39.63(1.026)t where tequals=0 corresponds to 2000 and 0<t<50
The projected population of a certain ethnic group(in millions) can be approximated by p(t)equals=39.63 left parenthesis 1.026 right parenthesis Superscript t39.63(1.026)t where tequals=0 corresponds to 2000 and 0 less than or equals t less than or equals 500≤t≤50.a. Estimate the population of this group for the year 2010.b. What is the instantaneous rate of change of the population when tequals=10?
The equation is p(t) = 39.63 (1.026)^t At 2010, t = 10 Solving for p p(10) = 36.63 (1.026)^10 p(10) = 47.35 million The instantaneous rate of change is dp/dt when t=10 = 1.11 million/year
