Question: The function y(t) = 1 -! e -b t, where t is time and b > 0, describes many processes, such as the height of
The function y(t) = 1 -! e-bt, where t is time and b > 0, describes many processes, such as the height of liquid in a tank as it is being filled and the temperature of an object being heated. Investigate the effect of the parameter b on y(t). To do this, plot y versus t for several values of b on the same plot. How long will it take for y(t) to reach 98 percent of its steady-state value?
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