Write MATLAB scripts to solve problem 5.21 from the textbook(bisection, specific heat) four times:
a) with the bisection method (starting interval [0, 1200])
b) with the false-position method (starting interval [0,1200])
c) with the Newton-Raphson method (x0 = 0)
d) with the secant method ((x0, x1) = (0, 1))
use percent relative error = 10^-6 as stopping criterion.
5.21-Mechanical engineers, as well as most other engineers, usethermodynamics extensively in their work. The following polynomialcan be used to relate the zero-pressure specific heat of dry aircp kJ/(kg K) to temperature (K):
cp = 0.99403 + 1.671 ×10?4T + 9.7215 ×10?8T2 ?9.5838 ×10?11T3 + 1.9520 ×10?14T 4
Develop a plot of cp versus a range ofT = 0 to 1200 K, and then determine the temperature thatcorresponds to a specific heat of 1.1 kJ/(kg K).
