A patient receives an injection of 1.6 milligrams of a drug, and the amount remaining in the bloodstream t hours later is A(t) = 1.6e−0.05t. Find the instantaneous rate of change of this amount at the following intervals.   (a) just after the injection (at time t = 0). ____ mg per hr (b) after 8 hours (Round your answer to three decimal places.)

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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.