AMATH242 Quiz: rootfinding 2016

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Practice finding roots: consider the following problem: Add each number to its square root, and multiply together. The product of the two sums is approximately 155. 55: define a function f(x) such that finding a root of f(x) solves the above problem. You may assume x is a number between 1 and 9, inclusive: write matlab code to find a root of your function f(x)=0 using the newton- Include a table of the iterate values, when starting from x0=1, x0=9, and a third x0 of your choice: without implementating the bisection algorithm: Show your workings: using the convergence results for fixed point algorithms, show that.