anonymous
  • anonymous
choose the graph of y = 4/3 cos 3/2x
Mathematics
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anonymous
  • anonymous
choose the graph of y = 4/3 cos 3/2x
Mathematics
chestercat
  • chestercat
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DanJS
  • DanJS
First, what are the maximum and minimum values for cos(x)
anonymous
  • anonymous
4/3 -4/3

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DanJS
  • DanJS
\[-1 \le \cos(x) \le 1\]
DanJS
  • DanJS
the amplitude in this case, is A*cos(x) , 4/3
DanJS
  • DanJS
The graph isnt shifted vertically, so the max and min are 4/3, -4/3 now just have to figure out the period.
anonymous
  • anonymous
cosine has a period of 2pi/b
anonymous
  • anonymous
so would it be 2pi/ (3/2) ?
DanJS
  • DanJS
yes
DanJS
  • DanJS
so 4/3 pi for the period...
DanJS
  • DanJS
Graph: y = A*cos( B*x + C) + D make sliders for A, B, C, D, and play arouind with changing those values, and watch the graph
DanJS
  • DanJS
https://www.desmos.com/calculator

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