For all the following problems, a) b) 4. You need to show at least 3 iterations calculated manually with all steps. You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You must, however, show the command lines for the given functions with their variables and other parameters. Zero-pressure specific heat of dry air Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air cp kJ/(kg K) to temperature (K): Cp = 0.99403 + 1.671×10 4T + 9.7215×10-8T²-9.5838×10-¹1 T3+1.9520×10-14T4 (a) Develop a plot of cp versus a range of T=0 to 1200 K. (b) Use bisection to determine the temperature T that corresponds to a specific heat of 1.1 kJ/(kg K). (c) What will be the value of T if you use false position method? (d) What is the percentage error between the results of (b) and (c)? For both methods use maximum iteration number 50.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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For all the following problems,
a)
b)
4.
You need to show at least 3 iterations calculated manually with all steps.
You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You
must, however, show the command lines for the given functions with their variables and other parameters.
Zero-pressure specific heat of dry air
Mechanical engineers, as well as most other engineers, use thermodynamics extensively
in their work.
The following polynomial can be used to relate the zero-pressure specific heat of
dry air cp kJ/(kg K) to temperature (K):
Cp = 0.99403 + 1.671×10 7 + 9.7215×10-8T²-9.5838×10-11 T3+1.9520×10-14T4
(a) Develop a plot of cp versus a range of T=0 to 1200 K.
(b) Use bisection to determine the temperature T that corresponds to a specific heat of 1.1 kJ/(kg K).
(c) What will be the value of T'if you use false position method?
(d) What is the percentage error between the results of (b) and (c)?
For both methods use maximum iteration number 50.
Transcribed Image Text:For all the following problems, a) b) 4. You need to show at least 3 iterations calculated manually with all steps. You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You must, however, show the command lines for the given functions with their variables and other parameters. Zero-pressure specific heat of dry air Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air cp kJ/(kg K) to temperature (K): Cp = 0.99403 + 1.671×10 7 + 9.7215×10-8T²-9.5838×10-11 T3+1.9520×10-14T4 (a) Develop a plot of cp versus a range of T=0 to 1200 K. (b) Use bisection to determine the temperature T that corresponds to a specific heat of 1.1 kJ/(kg K). (c) What will be the value of T'if you use false position method? (d) What is the percentage error between the results of (b) and (c)? For both methods use maximum iteration number 50.
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