Carbon dioxide particles in our atmosphere trap heat and raise the planet’s temperature. Even if all greenhouse-gas emissions miraculously ended today, the planet would continue to warm through the rest of the century because of the amount of carbon we have already added to the atmosphere. Carbon dioxide accounts for about half of global warming. The function y = 2.5 sin 2 π x + 0.0216 x 2 + 0.654 x + 316 models carbon dioxide concentration, y , in parts per million, where x = 0 represents January 1960; x = 1 12 , February 1960: x = 2 12 March 1960; … , x = 1 , January 1961; x = 13 12 , February 1961: and so on. Use a graphing utility to graph the function in a [30, 48, 5] by [310, 420, 5] viewing rectangle. Describe what the graph reveals about carbon dioxide concentration from 1990 through 2008.
Carbon dioxide particles in our atmosphere trap heat and raise the planet’s temperature. Even if all greenhouse-gas emissions miraculously ended today, the planet would continue to warm through the rest of the century because of the amount of carbon we have already added to the atmosphere. Carbon dioxide accounts for about half of global warming. The function y = 2.5 sin 2 π x + 0.0216 x 2 + 0.654 x + 316 models carbon dioxide concentration, y , in parts per million, where x = 0 represents January 1960; x = 1 12 , February 1960: x = 2 12 March 1960; … , x = 1 , January 1961; x = 13 12 , February 1961: and so on. Use a graphing utility to graph the function in a [30, 48, 5] by [310, 420, 5] viewing rectangle. Describe what the graph reveals about carbon dioxide concentration from 1990 through 2008.
Solution Summary: The author explains how the graph is drawn using the function y=2.5mathrmsin2pi x+0.0216x2.
Carbon dioxide particles in our atmosphere trap heat and raise the planet’s temperature. Even if all greenhouse-gas emissions miraculously ended today, the planet would continue to warm through the rest of the century because of the amount of carbon we have already added to the atmosphere. Carbon dioxide accounts for about half of global warming. The function
y
=
2.5
sin
2
π
x
+
0.0216
x
2
+
0.654
x
+
316
models carbon dioxide concentration, y, in parts per million, where
x
=
0
represents January 1960;
x
=
1
12
, February 1960:
x
=
2
12
March 1960;
…
,
x
=
1
, January 1961;
x
=
13
12
, February 1961: and so on. Use a graphing utility to graph the function in a [30, 48, 5] by [310, 420, 5] viewing rectangle. Describe what the graph reveals about carbon dioxide concentration from 1990 through 2008.
4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.024.
Find the approximations Tη, Mn, and S, to the integral
computer algebra system.)
ASK YOUR TEACHER
PRACTICE ANOTHER
4 39
√
dx for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a
n
Tn
Mn
Sp
6
12
n
ET
EM
Es
6
12
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, ET and EM are decreased by a factor of about
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'
and Es is decreased by a factor of about
6. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.001.
ASK YOUR TEACHER
PRACTICE ANOTHER
Let I =
4
f(x) dx, where f is the function whose graph is shown.
= √ ² F(x
12
4
y
f
1
2
(a) Use the graph to find L2, R2 and M2.
42 =
R₂ =
M₂ =
1
x
3
4
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