QUESTION 1: Write a script file (i.e. a non-function) that computes the Secant Method root solution...

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QUESTION 1: Write a script file (i.e. a non-function) that computes the "Secant Method" root solution for the function "f(x)" = 3*x*sin(0.7x) + 12. You are to call this script file "secant.m." There are two possible conditions for stopping execution: a) When "Xrnew - Xrold | Nmax." Demonstrate the correct execution of secant.m for these two sets of parameter values: Case 1: 1) X= 7 (i.e. the first initial guess for the root) 2) X₁= 12 (i.e. the second initial guess for the root) 3) Es= 0.0002 4) Nmax = 3 Case 2: 1) Xo=7 (i.e. the first initial guess for the root) 2) X₁ 12 (i.e. the second initial guess for the root) 3) E, = 0.0002 4) Nmax = 10 You should refer to the flow chart that was done in class for this Secant root-finding method. Also, for each case, you should clearly indicate which of the two "stop execution" conditions has been met. QUESTION 1: Write a script file (i.e. a non-function) that computes the "Secant Method" root solution for the function "f(x)" = 3*x*sin(0.7x) + 12. You are to call this script file "secant.m." There are two possible conditions for stopping execution: a) When "Xrnew - Xrold | Nmax." Demonstrate the correct execution of secant.m for these two sets of parameter values: Case 1: 1) X= 7 (i.e. the first initial guess for the root) 2) X₁= 12 (i.e. the second initial guess for the root) 3) Es= 0.0002 4) Nmax = 3 Case 2: 1) Xo=7 (i.e. the first initial guess for the root) 2) X₁ 12 (i.e. the second initial guess for the root) 3) E, = 0.0002 4) Nmax = 10 You should refer to the flow chart that was done in class for this Secant root-finding method. Also, for each case, you should clearly indicate which of the two "stop execution" conditions has been met.

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