The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption of 15 mL of ethanol (corresponding to one alcoholic drink). The resulting data were modeled by the concentration function C(t) = 0.0225te−0.0467t where t is measured in minutes after consumption and C is measured in mg/mL. (Round your answers to five decimal places.) (a) How rapidly was the BAC increasing after 4 minutes?   (mg/mL)/min (b) How rapidly was it decreasing half an hour later (t = 30)?  (mg/mL)/min

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.