The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Let t be the number of years since 1940 and E = f(t). t 1940 1950 1960 1970 1980 1990 E 6.4 8.9 12.8 19 20.9 19.9 (a) Using left endpoints, estimate the integral: 50 f(t) dt 2 (b) Using right endpoints, estimate the integral: 50 f(t) dt 2
The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Let t be the number of years since 1940 and E = f(t). t 1940 1950 1960 1970 1980 1990 E 6.4 8.9 12.8 19 20.9 19.9 (a) Using left endpoints, estimate the integral: 50 f(t) dt 2 (b) Using right endpoints, estimate the integral: 50 f(t) dt 2
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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Transcribed Image Text:The following table gives the the approximate amount of emissions, E, of nitrogen oxides in
millions of metric tons per year in the US. Let t be the number of years since 1940 and E = f(t).
t 1940 1950 1960 1970 1980 1990
E 6.4 8.9 12.8 19 20.9 19.9
(a) Using left endpoints, estimate the integral:
• 50
f(t) dt 2
(b) Using right endpoints, estimate the integral:
50
f(t) dt 2
Be sure that you know what the units of your answer are, and what its meaning is!
(Original data from the Statistical Abstract of the US, 1992)
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