The increase in carbon dioxide (CO_2) in the atmosphere is a major cause of glob
ID: 2854633 • Letter: T
Question
The increase in carbon dioxide (CO_2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO_2 in the atmosphere from 1958 through 2010 is approximated by where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958. + Find the average amount of CO_2 in the atmosphere from 1958 through 2010. (Round your answer to two decimal places.)Explanation / Answer
A(t)=0.012313t2+0.7545t +313.9
in 1958 ,t=1
in 2010, t=53
average value of f(x) in [a,b] =(1/(b-a))[a to b] f(x) dx
average value of A(t) in [1,53] =(1/(53-1))[1 to 53] (0.012313t2+0.7545t +313.9) dt
=(1/52)[1 to 53] (0.012313(1/3)t3+0.7545(1/2)t2 +313.9t +c)
=(1/52) [(0.012313(1/3)(53)3+0.7545(1/2)(53)2 + 313.9(53) +c)- -(0.012313(1/3)13+0.7545(1/2)12 +313.9*1 +c)]
=346.022
average amount of CO2 in the atmosphere from 1958 hrough 2010 is 346.02 ppmv
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.