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There questions are from Scientific Computing and are related with matlab. Kindly provide a solution for these questions. Propose appropriate equations to solve the question respectively.

Q3&Q4.jpg

Q3&Q4.jpg
Question 3: 1. Propose a nonlinear system of equations that contains at least three independent variables, and its
corresponding initial condition to solve the equations. No two entries of the initial condition should be equal. 2. Give the commands and corresponding output for approximating the problem using an appropriate MATLAB built—in function.
3. Perform two iterations of a suitable method for approximating the solution.
Question 4: . 1. Propose a polynomial 3,!(37) of degree six or more, and obtain the corresponding values of y for any
five distinct values of 531;, 2' = O,1,--- ,4, where 370 < 1121 < < 324. 2. Propose a value a E R, such that a, €25 [330, $4]. Give the commands and corresponding output to
approximate 34(3) using an appropriate MATLAB built-in function. 3. Approximate y(a) using the unique interpolating polynomial of degree 4 or less.

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