Mathematics
11 Online
OpenStudy (anonymous):
HELP! Question A)
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OpenStudy (anonymous):
OpenStudy (tylerd):
could start by saying
min is 5 and max is 55
5+55 divided by 2 = 30
midline at 30
amplitude is 25
OpenStudy (anonymous):
okay does that mean the vertical translation is 30?
OpenStudy (tylerd):
i think so
OpenStudy (tylerd):
if d is your verticle translation ya
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OpenStudy (anonymous):
okay that makes sense because the c value effects the vertical translation and the it can be found using that formula
OpenStudy (anonymous):
do you know how to determine the period or phase shift? @TylerD
OpenStudy (tylerd):
c value is phase shift
OpenStudy (anonymous):
yes using the equation y=asin(k(x-d))+c
OpenStudy (anonymous):
the c value would effect the vertical translation
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OpenStudy (anonymous):
is that correct?
OpenStudy (tylerd):
no it effects the horizontal
OpenStudy (tylerd):
aka phase shift
OpenStudy (anonymous):
okay how do I determine the period?
OpenStudy (tylerd):
period = 2pi/b
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OpenStudy (tylerd):
so if it starts at 55, then is at 5 at t=7 seconds
OpenStudy (tylerd):
that should be half of the period i think.
OpenStudy (aum):
^^^ correct. Period = 2 * (time between max and the next min)
OpenStudy (tylerd):
so we have
14 = 2pi/b then?
OpenStudy (anonymous):
so what would the equation look like?
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OpenStudy (aum):
Period = 14 seconds
Period is also 2pi/b. So you can find b.
OpenStudy (tylerd):
|dw:1408494558047:dw|