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Snezhnost [94]
3 years ago
15

If the graph of f(r)

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

yes yes yes yes no yes hcycrztdugguib

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During a regular respiratory cycle, the volume of air in liters in the human lungs can be described by the function V(t) = 0.173
guapka [62]

Answer:

<h3>A. about 3.4 seconds</h3>

Step-by-step explanation:

Given the volume of air in liters in the human lungs described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds,

The beginning of this respiratory cycle for the lungs to fill to their maximum volume of air occurs when dV/dt = 0

dV/dt = 0.173 + 0.3t - 3(0.035)t²

dV/dt = 0.173 + 0.3t - 0.105t²

Since dV/dt = 0

0.173 + 0.3t - 0.105t² = 0

multiply through by -1

-0.173 - 0.3t + 0.105t² = 0

0.105t² -0.3t-0.173 = 0

Factorize;

t = 0.3±√0.3²+4(0.105(0.173))/2(0.105)

t = 0.3±√0.09+0.07266/0.21

t =  0.3±√0.16266/0.21

t = 0.30±0.4033/0.21

t = 0.7033/0.21

t = 3.349secs

t ≈ 3.4secs

Hence it will take about 3.4secs for the lungs to fill to their maximum volume of air

7 0
3 years ago
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