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What is the rate of change from x = 0 to x = pi over 2?


trig graph with points at 0, 0 and pi over 2, 3 and pi, 0 and 3 pi over 2, negative 3 and 2 pi, 0

negative pi over 6

negative 6 over pi

pi over 6

6 over pi

Verified Answer :

the answer is b hope it helps

Answer with explanation:

→We have to rate of Change from , x=0 to , \(x=\frac{\pi}{2}\).

→Points on the graph are , \((0,0),(\frac{\pi}{2},3),(\pi ,0),(\frac{-3\pi}{2},-3),(2\pi,0)\)

Rate of Change between two points

      \(=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

  \(\text{When} , x_{1}=0,\text{then} , y_{1}=0,\text{ And When} , x_{2}=\frac{\pi}{2},\text{then} , y_{2}=3.\\\\ \text{Rate of Change}=\frac{3-0}{\frac{\pi}{2}-0}\\\\=\frac{3\times 2}{\pi}\\\\=\frac{6}{\pi}\)

Option D        

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