Question: 10. What will happen if the bisection method is used with the function f(x) = tan(x) and (a) the interval is [3, 4]? (b) the
10. What will happen if the bisection method is used with the function f(x) = tan(x) and (a) the interval is [3, 4]? (b) the interval is [1, 3]? 7. Consider the function f(x) = xe-x. (a) Find the Newton-Raphson formula pk = g(Pk-1). (b) If po= 0.2, then find P1, P2, P3, and p4. What is limn Pk? (c) If po = 20, then find P1, P2, P3, and p4. What is limn Pk? (d) What is the value of f(p4) in part (c)? 4. Let f(x)= x3 3x - 2. (a) Find the Newton-Raphson formula pk = g(pk-1). (b) Start with po = 2.1 and find P1, P2, P3, and p4. (c) Is the sequence converging quadratically or linearly? -
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