Question: Introduction to Numerical Methods 2. Consider the function f(x) = 2 cosh(x/4) - x Find a root using fixed point iteration. Use Po 2.2. Show

Introduction to Numerical Methods 2. Consider the function f(x) = 2

Introduction to Numerical Methods

2. Consider the function f(x) = 2 cosh(x/4) - x Find a root using fixed point iteration. Use Po 2.2. Show the results for 6 iterations. For each iteration, calculate the absolute error knowing that 2.35755106 is a root. Here, cosh is the hyperbolic cosine function. 3. Let f(x) = x 3x 2. a. Find the Newton-Raphson formula Px=g(pk-1). b. Start with po=2.1 and find P1, P2, P3 and 24. c. Is the sequence converging? 4. Let f(x) = x2 X 3. a. Use the secant method and compute the next two iterates P2 and p3 starting from po = 1.7 and p1 1.67

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