1960
1964
1968
1972
1976
1980
1984
0.56
0.26
1.01
1.67
1.04
1.71
1.38
1.38
1 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
1.04
1.71
1.38
1.38
1988
1992
1996
2000
2004
2008
2012
2.15
0.46
1.25
1.64
1.56
1.60
2.66
2.66
(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 smallest value?
c in which of these years does the approximation suggest that the co2 level was the most constant?
2 a particle moving along a line has position s(t = t4 acˆ’ 12t2 m at time t seconds. at which times is the particle instantaneously motionless (that is, it has zero velocity?
please show work
1964
1968
1972
1976
1980
1984
0.56
0.26
1.01
1.67
1.04
1.71
1.38
1.38
1 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
1.04
1.71
1.38
1.38
1988
1992
1996
2000
2004
2008
2012
2.15
0.46
1.25
1.64
1.56
1.60
2.66
2.66
(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 smallest value?
c in which of these years does the approximation suggest that the co2 level was the most constant?
2 a particle moving along a line has position s(t = t4 acˆ’ 12t2 m at time t seconds. at which times is the particle instantaneously motionless (that is, it has zero velocity?
please show work