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For all the following problems, 4. You need to show at least 3 iterations calculated manually with all steps. b) 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 73+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.

For all the following problems, 4. You need to show at least 3 iterations calculated manually with all steps. b) 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 73+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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please do not copy other's work Please do not copy other's work You need to show at least 3 iterations calculated manually with all steps. You need to show at least 3 iterations calculated manually with all steps. You need to show at least 3 iterations calculated manually with all steps. I will be very very appreciate!!
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.
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 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.
Expert Solution
Step 1: Given data
  1. The zero-pressure specific heat of dry air, (in kJ/(kg·K)), is related to temperature (in K) by the following polynomial:

  1. The temperature range of interest is Error converting from MathML to accessible text. to 1200 K.

  2. The specific heat is to be evaluated for a value of 1.1 kJ/(kg·K).

Objectives:

(a) Develop a plot of  versus a range of Error converting from MathML to accessible text. to 1200 K.

(b) Use the bisection method to determine the temperature Error converting from MathML to accessible text. that corresponds to a specific heat of 1.1 kJ/(kg·K), with a maximum of 50 iterations.

(c) Determine the value of Error converting from MathML to accessible text. using the false position method and compare it with the result obtained from the bisection method.

(d) Calculate the percentage error between the results obtained from the bisection and false position methods.


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