anonymous
  • anonymous
The pressure P (in pounds per square foot), in a pipe varies over time. Ten times an hour, the pressure oscillates from a low of 40 to a high of 280 and then back to a low of 40. The pressure at time t = 0 is 40. Let the function P = f(t) denote the pressure in pipe at time t minutes. Find the formula for the function P=f(t)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
can we use trig? it sounds like an upside down cosine function thats been shifted up
amistre64
  • amistre64
-120cos(x) +160
amistre64
  • amistre64
the oscillation is a clue to the "period" of the function

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amistre64
  • amistre64
60/10 = every 6 minutes
amistre64
  • amistre64
if 6 minutes is the period, but 1 minutes is the normal period then we got: P(t) = -120cos(t/6) + 160 maybe?
amistre64
  • amistre64
at t=3 we should have 280 -120(cos(1/2)) +160...its alittle off, but something to work with. just gotta determine the right value for the period.
amistre64
  • amistre64
-120(cos(pi/3)(t)) + 160....getting warmer?
amistre64
  • amistre64
im sure thats it: P(t) = -120cos[(pi/3)*t] +160

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