Describe the use of zero-finding methods and integration techniques in analysis of complex systems. Describe the significance of numerical methods.

Zero-finding methods and integration techniques in analysis of complex systems

Suppose you work for a company who is both designing and optimizing processes. They have developed a probability distribution function that is a derivative function. Finding the zeros of this function give the maximum and minimum while the integral gives the actual probabilty of a part failing in the process.

Describe the use of zero-finding methods and integration techniques in analysis of complex systems. Describe the significance of numerical methods. Describe the algorithms used and show code that you’ve written to highlight these solving methods. Use the example equation below as motivation in your description.