Answer:
The answer is \(\frac{4}{\pi }\)
Step-by-step explanation:
Given the graph as shown, we have to find the rate of change between the interval of x=0 and \(\frac{\pi }{2}\).
To find the rate of change we have to find the slope which is given by
\(Rate\thinspace of \thinspace change=slope=\frac{change\thinspace\thinspace in\thinspace\thinspace y\thinspace\thinspace coordinate}{change\thinspace\thinspace in \thinspace\thinspace x \thinspace\thinspace coordinate}\)
= \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
= \(\frac{5-3}{\frac{\pi }{2} }\)
= \(\frac{4}{\pi }\)
