The drug Valium is eliminated from the bloodstream exponentially with a half-fe of 36 hours. Suppose that a patient receives an inital dose of 75 milligrams of Valum at midnight a. How much Valum is in the patient's blood at noon on the first day? b. Estimate when the Valum concentration will reach 50% of its initial level. a How much Valium is in the patient's blood at noon on the first day? There is approximately mg of Vallum in the patients blood at noon on the first day (Round to the nearest tenth as needed.) b. Estimate when the Valum concentration will reach 50% of its initial level. After hours the Valum concentration will reach 50% of its initial level (Round to the nearest hour)

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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.