Optimization

A data scientist working for a technology company, was given the task of optimizing the performance of a web application. The application's response time is represented by a continuous function, x$+2$

cos

x

on the interval, $[\backslash$pi $,\backslash$pi $]$

$.$The data scientist is required to identify the points where the response time is at its peak or at its lowest to improve user experience.

Source: Mafemba, J$.2024.$

a$.$ Use the function in the scenario above to calculate the points where the response time is at its peak and at its lowest.

$(7$ Marks$)$

b$.$ How can the data scientist use the identified points where the response time is at its peak or lowest to improve user experience?

$(3$ Marks$)$