US per capita emission (metira ton per person) China per capita emission (metirc ton per person) United States U.S. Pop 227225000 229466000 231664000 233792000 235825000 237924000 240133000 242289000 Year 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1996 1996 1997 1998 1999 2000 2001 2002 2003 2004 2006 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Years after 19eo China 1485.697603 1470.483363 1523.291877 1615.106147 1745.74056 1830.907807 1898.552563 China Population 981235000 993885000 1008630000 1023310000 1036825000 1051040000 1066790000 1084035000 1101630000 1118650000 1135185000 1150780000 1164970000 1178440000 1191835000 1204855000 1217550000 1230075000 1241935000 1252735000 1262645000 1271850000 1280400000 1288400000 1296075000 1303720000 1311020000 1317885000 1324655000 1331260000 1337705000 1344130000 1350695000 1357380000 1364270000 1371220000 4679.802243 4563.30796 4332.42784 4314.200253 4539.47044 4537.679253 4540.571373 4689.510453 4920.95188 5002.973173 4980.773827 4943.464667 5043.515253 5141.814653 5221.13836 5282.91964 5468.21916 5543.640853 5578.628907 5646.383853 5828.65372 5736.248667 5793.487373 5862.686373 5974.797461 5999.507072 5924.070042 6023.943565 5841.016462 5429.801274 5580.015806 5483.340649 5274.517067 5368.863742 20.59645492 19.8866409R 1.514109875 1.479630683 1.510258347 1.57831561 1.683736947 1.741996315 1.779687252 1.85159081 1.941413914 1.911076676 2.081765742 1,888502039 1.927576433 2.056154156 2.173795176 2.331289912 2.369385698 2.280329167 2.253478413 2.335073667 2.505113741 2.60802114 2.780256048 3.21360037 3.921032079 4.401148583 10 18.70134263 18.45315602 19.2493181 19.07196942 18.90856889 19.35502831 20.12667487 20.2698057 19.96318471 19.54085353 11 12 13 14 15 16 17 18 2007.189243 2138.71981 2137.825923 2363.189243 2173.250377 2245.568717 2423.054303 2590.805173 2808.866307 2884.845557 2904.9759 2798.673713 2925.22851 3163.06934 3317.011687 3559.839843 4140.402717 5081.951652 5737.865431 244499000 246819000 249623000 252981000 256514000 259919000 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 19.66175434 19.78237318 19.84273071 19.83986525 20.29822179 20.33192199 20.22312131 20.23503388 20.65708788 20.12938099 20.1424893 20.2086386 20.40635981 20.30176001 19.8541182 19.99774069 19.20793279 17.6998214 18.03854752 17.59487018 16.79818498 16.97747607 17.00117848 16.41075451 21 22 23 24 25 26 263126000 266278000 269394000 272667000 275854000 279040000 282162411 284968956 287625193 290107933 292805298 295516599 298379912 301231207 304093966 306771529 309338421 311644280 313993272 316234505 318622525 321039839 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6334.342245 6776.846761 6985.946968 4.83161374 5.142214048 5.273785981 5.689197162 6.063114667 6,658696317 7573.800615 8110.658806 8950.15348 9222.334722 9155.11846 9013.799152 8865.94306 6,827843978 6.744698212 5416.958416 5268.605986 6.607049302 6.466733478

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Use Riemann sums to calculate the total emissions and per capita emissions from 1980 to 2015 for the U.S. and China. Did you use left, right, or midpoint boxes? Which country is more responsible for current atmo- spheric CO2 levels?

US per capita emission (metira ton
per person)
China per capita emission (metirc
ton per person)
United States
U.S. Pop
227225000
229466000
231664000
233792000
235825000
237924000
240133000
242289000
Year
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1996
1996
1997
1998
1999
2000
2001
2002
2003
2004
2006
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
Years after 19eo
China
1485.697603
1470.483363
1523.291877
1615.106147
1745.74056
1830.907807
1898.552563
China Population
981235000
993885000
1008630000
1023310000
1036825000
1051040000
1066790000
1084035000
1101630000
1118650000
1135185000
1150780000
1164970000
1178440000
1191835000
1204855000
1217550000
1230075000
1241935000
1252735000
1262645000
1271850000
1280400000
1288400000
1296075000
1303720000
1311020000
1317885000
1324655000
1331260000
1337705000
1344130000
1350695000
1357380000
1364270000
1371220000
4679.802243
4563.30796
4332.42784
4314.200253
4539.47044
4537.679253
4540.571373
4689.510453
4920.95188
5002.973173
4980.773827
4943.464667
5043.515253
5141.814653
5221.13836
5282.91964
5468.21916
5543.640853
5578.628907
5646.383853
5828.65372
5736.248667
5793.487373
5862.686373
5974.797461
5999.507072
5924.070042
6023.943565
5841.016462
5429.801274
5580.015806
5483.340649
5274.517067
5368.863742
20.59645492
19.8866409R
1.514109875
1.479630683
1.510258347
1.57831561
1.683736947
1.741996315
1.779687252
1.85159081
1.941413914
1.911076676
2.081765742
1,888502039
1.927576433
2.056154156
2.173795176
2.331289912
2.369385698
2.280329167
2.253478413
2.335073667
2.505113741
2.60802114
2.780256048
3.21360037
3.921032079
4.401148583
10
18.70134263
18.45315602
19.2493181
19.07196942
18.90856889
19.35502831
20.12667487
20.2698057
19.96318471
19.54085353
11
12
13
14
15
16
17
18
2007.189243
2138.71981
2137.825923
2363.189243
2173.250377
2245.568717
2423.054303
2590.805173
2808.866307
2884.845557
2904.9759
2798.673713
2925.22851
3163.06934
3317.011687
3559.839843
4140.402717
5081.951652
5737.865431
244499000
246819000
249623000
252981000
256514000
259919000
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
19
20
19.66175434
19.78237318
19.84273071
19.83986525
20.29822179
20.33192199
20.22312131
20.23503388
20.65708788
20.12938099
20.1424893
20.2086386
20.40635981
20.30176001
19.8541182
19.99774069
19.20793279
17.6998214
18.03854752
17.59487018
16.79818498
16.97747607
17.00117848
16.41075451
21
22
23
24
25
26
263126000
266278000
269394000
272667000
275854000
279040000
282162411
284968956
287625193
290107933
292805298
295516599
298379912
301231207
304093966
306771529
309338421
311644280
313993272
316234505
318622525
321039839
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
6334.342245
6776.846761
6985.946968
4.83161374
5.142214048
5.273785981
5.689197162
6.063114667
6,658696317
7573.800615
8110.658806
8950.15348
9222.334722
9155.11846
9013.799152
8865.94306
6,827843978
6.744698212
5416.958416
5268.605986
6.607049302
6.466733478
Transcribed Image Text:US per capita emission (metira ton per person) China per capita emission (metirc ton per person) United States U.S. Pop 227225000 229466000 231664000 233792000 235825000 237924000 240133000 242289000 Year 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1996 1996 1997 1998 1999 2000 2001 2002 2003 2004 2006 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Years after 19eo China 1485.697603 1470.483363 1523.291877 1615.106147 1745.74056 1830.907807 1898.552563 China Population 981235000 993885000 1008630000 1023310000 1036825000 1051040000 1066790000 1084035000 1101630000 1118650000 1135185000 1150780000 1164970000 1178440000 1191835000 1204855000 1217550000 1230075000 1241935000 1252735000 1262645000 1271850000 1280400000 1288400000 1296075000 1303720000 1311020000 1317885000 1324655000 1331260000 1337705000 1344130000 1350695000 1357380000 1364270000 1371220000 4679.802243 4563.30796 4332.42784 4314.200253 4539.47044 4537.679253 4540.571373 4689.510453 4920.95188 5002.973173 4980.773827 4943.464667 5043.515253 5141.814653 5221.13836 5282.91964 5468.21916 5543.640853 5578.628907 5646.383853 5828.65372 5736.248667 5793.487373 5862.686373 5974.797461 5999.507072 5924.070042 6023.943565 5841.016462 5429.801274 5580.015806 5483.340649 5274.517067 5368.863742 20.59645492 19.8866409R 1.514109875 1.479630683 1.510258347 1.57831561 1.683736947 1.741996315 1.779687252 1.85159081 1.941413914 1.911076676 2.081765742 1,888502039 1.927576433 2.056154156 2.173795176 2.331289912 2.369385698 2.280329167 2.253478413 2.335073667 2.505113741 2.60802114 2.780256048 3.21360037 3.921032079 4.401148583 10 18.70134263 18.45315602 19.2493181 19.07196942 18.90856889 19.35502831 20.12667487 20.2698057 19.96318471 19.54085353 11 12 13 14 15 16 17 18 2007.189243 2138.71981 2137.825923 2363.189243 2173.250377 2245.568717 2423.054303 2590.805173 2808.866307 2884.845557 2904.9759 2798.673713 2925.22851 3163.06934 3317.011687 3559.839843 4140.402717 5081.951652 5737.865431 244499000 246819000 249623000 252981000 256514000 259919000 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 19.66175434 19.78237318 19.84273071 19.83986525 20.29822179 20.33192199 20.22312131 20.23503388 20.65708788 20.12938099 20.1424893 20.2086386 20.40635981 20.30176001 19.8541182 19.99774069 19.20793279 17.6998214 18.03854752 17.59487018 16.79818498 16.97747607 17.00117848 16.41075451 21 22 23 24 25 26 263126000 266278000 269394000 272667000 275854000 279040000 282162411 284968956 287625193 290107933 292805298 295516599 298379912 301231207 304093966 306771529 309338421 311644280 313993272 316234505 318622525 321039839 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6334.342245 6776.846761 6985.946968 4.83161374 5.142214048 5.273785981 5.689197162 6.063114667 6,658696317 7573.800615 8110.658806 8950.15348 9222.334722 9155.11846 9013.799152 8865.94306 6,827843978 6.744698212 5416.958416 5268.605986 6.607049302 6.466733478
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