Question

The atmospheric CO₂ level

A(t)

at a volcano at time t (in parts per million by volume) is recorded. Reading across, the annual values for the 4-year intervals are as follows.

1960		1964		1968		1972		1976		1980		1984
0.56		0.26		1.01		1.67		1.02		1.71		1.36
1988		1992		1996		2000		2004		2008		2012
2.15		0.46		1.25		1.62		1.58		1.60		2.64

(a) Estimate

A'(t)

in 1962, 1970, 1978, 1986, 1994, 2002, and 2010. (Use adjacent years to find your estimation.)

A'(1962)	=
A'(1970)	=
A'(1978)	=
A'(1986)	=
A'(1994)	=
A'(2002)	=
A'(2010)	=

(b) In which of the years from (a) did the approximation to

A'(t)

take on its largest value?

19621970    19781986199420022010

In which of the years from (a) did the approximation to

A'(t)

take on its smallest value?

19621970    19781986199420022010

(c) In which of these years does the approximation suggest that the CO₂ level was the most constant?

19621970    19781986199420022010

Answer 1

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