Question

Problem 1. (1 point) The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Lett be the number of years since 1940 and E= f(t). t 1940 1950 1960 1970 1980 1990 E 6.5 9.5 13.5 1921 19.8 (a) Using left endpoints, estimate the integral: 50 f(t)dt = (b) Using right endpoints, estimate the integral: 50 f(t) dt 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) Note: You can earn partial credit on this problem.

Answer 1

1. it 10 20 30 AO 50 f@ 6.5 9.5 13.5 19 21 19.8 50 ca) Using left endpoints, fardt ñ 6.5X(10-0) +9.5% 60-10)+ 13.5(30-20)+19(40-30) + 21(50-40) - 6.5x10 + 9.5x10+ 13.5x10719X10 +21X10 65+95 +135+190+210 695 => [ordet feidt 71695 millions of medoric tons. (b) Using right endpoints, (teda a faldt ~ 9.5(10-0) + 13.5X20-10) + 19(80-20) +21(40-30) + 19.8% (50-40) = 95+ 135 +190+2107 198 828 50 => (Perde fl) at ~1828 millions of metric tons.