Question

Find the maximum and minimum values of the function g(theta) = 6theta - 8sin(theta) on the interval [0, pi/2]

Answer 1

Explanation

We are given the following function:

`g(\theta)=6\theta-8\sin(\theta)`

We are required to determine the minimum and maximum values of the function in the given interval.

This is achieved thus:

Using a graphing calculator to graph the given function, we have:

From the graph, we have:

`\begin{gathered} minimum=-0.955 \\ maximum=1.42 \end{gathered}`

Hence, the answer is: