Question

# The atmospheric CO2 level A(t) at a volcano at time t (in parts per million by...

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

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