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

Find The Maximum And Minimum Values Of The Function Gtheta 6theta 8sintheta On The Interval 0 Pi2 class=

Sagot :

Explanation

We are given the following function:

[tex]g(\theta)=6\theta-8\sin(\theta)[/tex]

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:

[tex]\begin{gathered} minimum=-0.955 \\ maximum=1.42 \end{gathered}[/tex]

Hence, the answer is:

View image RiniB709698
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