Physiologists use a machine called a pneumotachograph to produce a graph of the rate of flow R on air into the lungs (inspiration) and out (expiration). The figure gives the graph of the inspiration phase of the breathing cycle of an individual at rest.

(A) Use the values given by the graph at t = 0,1,2, and 3 to find the interpolating polynomial for R.

(B) Use the interpolating polynomial to approximate (to one decimal place) the total volume of air inhaled.

Transcribed Image Text:

Air flow (liters/second) R(1) 0.5 0.4 0.3 0.2 0.1 1 2 Time (in seconds) 3 t