1. Consider the function: f: RR defined by f(x) = x - 3x + 5 cos(3x)....

 

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1. Consider the function: f: RR defined by f(x) = x - 3x + 5 cos(3x). (a) Compute the values f(0) and f(1). Does f have a root in the interval [0, 1]? (b) Apply the first three steps of the bisection method for f by hand. You can use a pocket calculator for computations. What is the absolute error for the solution at the end? (c) Use Matlab to approximate the root with an absolute error of = 0.5-10-6. (d) Compute the values f(0) and f(2). Can you apply the bisection method on [0,2]? With all the information learned so far about f, what can you say about the number of roots in the interval [0,2]? please don't copy from an other expert answer 1. Consider the function: f: RR defined by f(x) = x - 3x + 5 cos(3x). (a) Compute the values f(0) and f(1). Does f have a root in the interval [0, 1]? (b) Apply the first three steps of the bisection method for f by hand. You can use a pocket calculator for computations. What is the absolute error for the solution at the end? (c) Use Matlab to approximate the root with an absolute error of = 0.5-10-6. (d) Compute the values f(0) and f(2). Can you apply the bisection method on [0,2]? With all the information learned so far about f, what can you say about the number of roots in the interval [0,2]? please don't copy from an other expert answer