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Consider the following equations = ^2 + 1 = 2cos () a) Use initial guesses of (x, y) = (0.7, 1.5) to determine the positive

Consider the following equations

= ^2 + 1 = 2cos () a) Use initial guesses of (x, y) = (0.7, 1.5) to determine the positive roots of the given simultaneous nonlinear equations using the two-equation Newton-Raphson method. (Round the final answers to five decimal places.) Show 3 iterations or until a tolerance of s = 0.01% is met. This must be done by hand in detailed. b) Use a graphical approach to verify the initial guesses for x and y given in part (a). Use MATLAB to generate a graph showing both functions on the same set of axes. c) Use the given initial guesses as the starting point to determine refined estimates in MATLAB using the fsolve function. (Round the final answers to four decimal places.)

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