Find the area of the region bounded by the

Chapter 8, Problem 55

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Find the area of the region bounded by the curvesy=xandy=sinxfromx=0tox=.Measuring Peak FlowA spirogram is a device that records on agraph the volume of air in a persons lungs as a function of time. If aperson undergoes spontaneous hyperventilation, the spirogram tracewill closely approximate a sine curve. A typical trace is given byV(t)=3+.05 sin?160t2?,wheretis measured in minutes andV(t)is the lung volume in liters.(See Fig. 1.) Exercises 5658 refer to this function.y = V(t)30Time (minutes)Longvolume(liters)Inspiration Respirationt180Figure 1Spirogram trace.

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