[ introduction to numerical methods ]

Show results of calculation in 6 decimal places with rounding. 1. Use Matlab to apply the bisection method in finding the root for the function starting from the interval with tolerance . How many iterations are required? Also, plot the function over the interval. 2. Consider the function Find a root using fixed point iteration. Use . 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) = x2 3x - 2. a. Find the Newton-Raphson formula pk=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 and starting from and