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Mathematics 13 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

negative pi over 6 negative 6 over pi pi over 6 6 over pi

OpenStudy (anonymous):

true

OpenStudy (anonymous):

6 over pi

OpenStudy (campbell_st):

well the function values are f(0) = 0 f(pi/2) = 3 so the rate of change is \[\frac{f(\frac{\pi}{2}) - f(0)}{\frac{\pi}{2} - 0}\]

OpenStudy (anonymous):

the rate of change is (y1-y0)/(x1-x0), looking at the plot, we get (3 - 0)/(pi/2 - 0) = 6/pi

OpenStudy (campbell_st):

rate of change in this question is just asking for the slope of the line segment joining (0, 0) and (pi/2, 3)

OpenStudy (anonymous):

Okay thanks! So it'd be 6/pi right?

OpenStudy (campbell_st):

correct

OpenStudy (anonymous):

THANKS! You guys are the best!!!

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