400 400 390 390 - 380 380 370 + 370 360 + 350 + 360 + 350+ 340 340 330 330+ 8 320 310+ 320 310- +++. 5 10 15 20 25 30 35 40 45 50 55 5 10 15 20 25 30 35 40 45 50 55 Year (0 - 1960) Year (0 1960) (a) (b) CO, (in parts per million)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The Mauna Loa Observatory in Hawaii records the carbon dioxide concentration y (in parts per million) in Earth’s atmosphere. The January readings for various years are shown in Figure . In the July 1990 issue of Scientific American, these data were used to predict the carbon dioxide level in Earth’s atmosphere in the year 2035, using the quadratic model       y = 0.018t2 + 0.70t + 316.2         (Quadratic model for 1960–1990 data)       where t = 0 represents 1960, as shown in Figure a. The data shown in figure b represent the years 1980 through 2014 and can be modeled by     y = 0.014t2 + 0.66t + 320.3 (Quadratic model for 1980–2014)                  data where t = 0 represents 1960. What was the prediction given in the Scientific American article in 1990? Given the second model for 1980 through 2014, does this prediction for the year 2035 seem accurate?

400
400
390
390 -
380
380
370 +
370
360 +
350 +
360 +
350+
340
340
330
330+
8 320
310+
320
310-
+++.
5 10 15 20 25 30 35 40 45 50 55
5 10 15 20 25 30 35 40 45 50 55
Year (0
- 1960)
Year (0
1960)
(a)
(b)
CO, (in parts per million)
Transcribed Image Text:400 400 390 390 - 380 380 370 + 370 360 + 350 + 360 + 350+ 340 340 330 330+ 8 320 310+ 320 310- +++. 5 10 15 20 25 30 35 40 45 50 55 5 10 15 20 25 30 35 40 45 50 55 Year (0 - 1960) Year (0 1960) (a) (b) CO, (in parts per million)
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