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Determine the real roots of f ( x ) = - 0 . 5 x 2 + 2 . 5 x + 4 . 5
Determine the real roots of :
a Graphically: Plot the function and eyeball the roots. Plot this in Matlab.
b Using the quadratic formula: Use the function that you developed in Homework Matlab
Refresher.
c Using the Bisection method to determine the highest root: Employ initial guesses of
and Compute and output the value of the root, the relative approximate error
and the relative true error after each iteration.
i Do this by hand for five iterations.
ii Write a Matlab script that solves the problem using your own Bisection
function. The Bisection function should allow the input of any function, upper
and lower guesses, number of iterations to perform, and relative approximate
stopping criteria. Conduct iterations.
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