Injected drugs, shots, and patches are carried in the blood and absorbed directly into the body but those taken orally move through the digestive tract to the liver.  After the medication is in the liver, the liver will process part of that medicine out of the body.  Let's suppose that a particular medication experiences a 25% reduction in bodily presence per day, and that you have been prescribed one pill each day.  a.On Day 1, you take one pill(100 milligrams(mg)). What percentage is left on Day 2 from Day 1?   b.So, as a decimal, how much of the one pill you took on Day 1 do you have left on Day 2? c. How many mg is in your bloodstream on day 2(after you’ve taken the medication? d.Suppose on day 31, you forget to take your medicine. How many days does it take for the total concentration to go back to the total concentration you had accumulated by day 30? Include a chart.

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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.