2. As the universe has expanded, its temperature has been decreasing with time. The figure below is a plot of the temperature T (in kelvin) as a function of time t (in gigayears, abbreviated as "Gyr") since the Big Bang. It has been derived from the measurements of galaxy redshifts as reported in Ref. [1]. 14 13 12 ● 11 10 9 :. 0 1 2 5 6 7 8 9 10 11 12 13 14 Time since the Big Bang (Gyr) (a) Write down two of the six simple functions from the formula sheet that might provide a good fit to the data in this plot, and explain why each would be suitable. For each function, explain whether the unknown constants should be positive or negative. Temperature (K) 7 5 4 3 2 .. °8
2. As the universe has expanded, its temperature has been decreasing with time. The figure below is a plot of the temperature T (in kelvin) as a function of time t (in gigayears, abbreviated as "Gyr") since the Big Bang. It has been derived from the measurements of galaxy redshifts as reported in Ref. [1]. 14 13 12 ● 11 10 9 :. 0 1 2 5 6 7 8 9 10 11 12 13 14 Time since the Big Bang (Gyr) (a) Write down two of the six simple functions from the formula sheet that might provide a good fit to the data in this plot, and explain why each would be suitable. For each function, explain whether the unknown constants should be positive or negative. Temperature (K) 7 5 4 3 2 .. °8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:function type general form
linear
y = mx + c
quadratic
y = ax² +bx+c
power
y = ax²
periodic
y = A sin((t — S)) + E
exponential
y = Cekt
surge
y=ate-bt
![2. As the universe has expanded, its temperature has been decreasing with time. The figure below
is a plot of the temperature T (in kelvin) as a function of time t (in gigayears, abbreviated as
"Gyr") since the Big Bang. It has been derived from the measurements of galaxy redshifts as
reported in Ref. [1].
14
13
12
11
10
4
:-
3
2+
0
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Time since the Big Bang (Gyr)
(a) Write down two of the six simple functions from the formula sheet that might provide a
good fit to the data in this plot, and explain why each would be suitable. For each function,
explain whether the unknown constants should be positive or negative.
Temperature (K)
00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbcca6c5-ac94-45d2-abbc-b5bb3d17eb80%2F55ee0131-1da6-4679-b05d-729e3481d50a%2Fle5stni_processed.png&w=3840&q=75)
Transcribed Image Text:2. As the universe has expanded, its temperature has been decreasing with time. The figure below
is a plot of the temperature T (in kelvin) as a function of time t (in gigayears, abbreviated as
"Gyr") since the Big Bang. It has been derived from the measurements of galaxy redshifts as
reported in Ref. [1].
14
13
12
11
10
4
:-
3
2+
0
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Time since the Big Bang (Gyr)
(a) Write down two of the six simple functions from the formula sheet that might provide a
good fit to the data in this plot, and explain why each would be suitable. For each function,
explain whether the unknown constants should be positive or negative.
Temperature (K)
00
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