anonymous
  • anonymous
Find the average rate of change of f from 0 to 7pi/12. f(x)=tan(2x)
Mathematics
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anonymous
  • anonymous
Find the average rate of change of f from 0 to 7pi/12. f(x)=tan(2x)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
(4sqrt3)/(7pi)
anonymous
  • anonymous
Correct?
myininaya
  • myininaya
\[\frac{\tan(2 \cdot \frac{ 7 \pi}{12})-\tan(2 \cdot 0)}{\frac{7 \pi }{12}-0}\]

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myininaya
  • myininaya
let me find out by simplifying this
anonymous
  • anonymous
yes it is correct, since it starts at (0,0)
myininaya
  • myininaya
\[\frac{\tan(\frac{7 \pi}{6})}{\frac{7 \pi}{12}}\]
myininaya
  • myininaya
\[\frac{12}{7 \pi} \cdot \tan(\frac{ 7 \pi}{6} )\]
anonymous
  • anonymous
oops i was wrong \[\tan(\frac{7\pi}{6})=\frac{1}{\sqrt{3}}\]
myininaya
  • myininaya
\[\frac{12}{7 \pi} \cdot \frac{\sin(\frac{7 \pi}{6})}{\cos(\frac{7 \pi}{6})}\] \[\frac{12}{7 \pi} \cdot \frac{\sin( \pi +\frac{\pi}{6})}{\cos( \pi +\frac{\pi}{6})}\] \[\frac{12}{ 7 \pi} \cdot \frac{\frac{-1}{2}}{\frac{-\sqrt{3}}{2}}=\frac{12}{7 \pi} \cdot \frac{1}{\sqrt{3}}\] lol sorry i was having a find an error in my latex
anonymous
  • anonymous
No worries

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