1. Write a C++ program to implement the Example on Chapter 6 Lecture 1 Slide 8. And compare the result with optimum step size found on part 1 above.

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Optimum step-size - Example Let f(x) = cos(x) and = 0.5 x 10-9. Find optimum step size for Central-difference formula of order 0 (h2) \f(3)(x) = sin(x)] = 1 M = 1 3x0.5X10- .h= = ) = = 0.001144714 1 Note that from previous example, optimum step size h = 0.001 Optimum step-size - Example Let f(x) = cos(x) and = 0.5 x 10-9. Find optimum step size for Central-difference formula of order 0 (h2) \f(3)(x) = sin(x)] = 1 M = 1 3x0.5X10- .h= = ) = = 0.001144714 1 Note that from previous example, optimum step size h = 0.001