0 Figure 1: Figure for problem 1. Tlinking, hand calculations, and Matlab (10 points): State clearly which equation do you have to solvwe to get the anwwer to the problem Use any of Matlab's available bngilt-in furactions flike roots or fsolve or tzero) to solve this equation. Plot in Matlab the equation to be solved in a range of H that inclades the answer to the problens 2 Hand calculations with False-Position method (10 points): Use three herations of the False-Ponition method to determise your answer. Calealate also the approcimate relative error en after each iteration. Employ initial guesses the 0 and 3. Hand caleulations with Newton-Raphson method (10 points): Use thuree iter- ations of the Newtot-Raphson method to detertnise ur wer Cakculate also the approximate relative error e after each iteration. Employ initial guess the o 4. Use Matlab (10 points): Use your False-Position Matlab function to detemite your answer Employ initial gwesses of zi-0 and . Compute the approximate errore. at every iteration Use as stopping criteria the error tolerance,1x 10-4 and a maximum mamber of 50 iterations. Present your results in a tabalar form that includes (at least) the iteration number iter, the approximated root xr, the value of the function at the approximated root fr and the approximate relative percent errot ea 5. Use Matlab (10 points): Use your Newton-Raphson Matlab function to determine your answer using as initial guess xo r. and stopping criteria the error tolerance c,- x 10 and a maximum number of 50 iterations. Compute the approximate erTor at every iteration. Present your results in a tabular form that includes (at least) the iteration number iter, the approximated root xr, the value of the function at the approximated root fr and the approximate relative percent error ea 0 Figure 1: Figure for problem 1. Tlinking, hand calculations, and Matlab (10 points): State clearly which equation do you have to solvwe to get the anwwer to the problem Use any of Matlab's available bngilt-in furactions flike roots or fsolve or tzero) to solve this equation. Plot in Matlab the equation to be solved in a range of H that inclades the answer to the problens 2 Hand calculations with False-Position method (10 points): Use three herations of the False-Ponition method to determise your answer. Calealate also the approcimate relative error en after each iteration. Employ initial guesses the 0 and 3. Hand caleulations with Newton-Raphson method (10 points): Use thuree iter- ations of the Newtot-Raphson method to detertnise ur wer Cakculate also the approximate relative error e after each iteration. Employ initial guess the o 4. Use Matlab (10 points): Use your False-Position Matlab function to detemite your answer Employ initial gwesses of zi-0 and . Compute the approximate errore. at every iteration Use as stopping criteria the error tolerance,1x 10-4 and a maximum mamber of 50 iterations. Present your results in a tabalar form that includes (at least) the iteration number iter, the approximated root xr, the value of the function at the approximated root fr and the approximate relative percent errot ea 5. Use Matlab (10 points): Use your Newton-Raphson Matlab function to determine your answer using as initial guess xo r. and stopping criteria the error tolerance c,- x 10 and a maximum number of 50 iterations. Compute the approximate erTor at every iteration. Present your results in a tabular form that includes (at least) the iteration number iter, the approximated root xr, the value of the function at the approximated root fr and the approximate relative percent error ea