WS23-Related Rates_131_ak - WS23-RELATED RATES(4.6...

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WS23-RELATED RATES(4.6) Key (Spring 2013) 1. Review of graphing and interpreting trig functions.When hyperventilating, a person breathes in and out very rapidly. A Spirogram is a machine that draws a graph of the volume of air in a person’s lungs as a function of time. During hyperventilation, the person’s Spirogram trace might be represented by ()30.05cos 200Vtπ=where -Vis the volume of air (in liters) in the lungs at time tminutes. A) How many breathes (cycles) does a hyperventilating person take in a minute? shared via CourseHero.com-
B) Sketch a graph of one period of this function. (Include all intercept and important values)
C) What is the rate of flow of air in liters/minute? Sketch a graph of this function.
. D) Mark the following on each of the graphs in part B and C:
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2. A spherical cell 343Vrπ=is growing at a rate 500 3mμper day. At what rate is its radius increasing when the radius is 15mμ?

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