A2 Algorithm - Newton’s Method Input x0, xTol iters = 1 dx = -f(x0)/fDeriv(x0) (* fcns f and fDeriv *) root = x0 + dx While (Abs(dx) > xTol) dx = -f(root)/fDeriv(root) root = root + dx iters = iters + 1 End of while Return root, iters Exercise 2. Use the Newton Raphson method to estimate the root of f (x) = e − x −1, employing an initial guess of x = 0. The tolerance is = 10−8 .

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Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.