The volume V, in liters, of air in the lungs during a four-second respiratory cycle is approximated by the model
V = 0.1729t + 0.1522t2 − 0.0374t3,
where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. (Round your answer to four decimal places.)
Stacey Warren - Expert brainly.com
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calculate the area by integration and divide by 4
which will give you a time weighted average
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let me integrate ....
mmm, don't fancy all those decimals but the the machine should get it right
this is the integral
and that blue rectangle i drew was just for illustration, it does not purport to be an actual solution
I'm getting two with a few different decimal combinations.. none are correct. ugh
the integral is there for you to check against.....
the machine does the indefinite integral as well as the definite so you can nail it properly
then as i said you are looking for a time-weighted average
what's curious is that the graph goes back to zero at \(t \approx 5\) whereas you are asked for the average over \(0
okay I plugged in my intergrals & got 1.19892 but that didn't work UGH