When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled byD(t) = 40e−0.4t.

The graph of d(t) = Ae-k tsin(kt), where A and k are positive real constants, can be used to describe drug absorption in a patient's bloodstream, using units mg/litre per unit of time in minutes.Consider the special case where A = 1 and k = 1, and discuss this with respect to a dose of a drug taken at t = 0.

The milligrams of aspirin in a person's body is given by the equation 𝑎=500⋅(34)𝑡a=500⋅( 43​ ) t   , where 𝑡t  is the number of hours since the patient took the medicine.2(a)How much aspirin will be in the patient's body after two hours?(b)In the equation, what does the 500 tell us about the situation?Math$$​(c)In the equation, what does the 3443​   tell us about the situation?Math

The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 57 minutes.Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is 1.9/μgmL. What will the concentration be 228 minutes later?Round your answer to 2 significant digits.μgmL

A patient receives a 150 mg injection of a drug every 4 hours. The graph shows the amount f(t) of the drug in the bloodstream after t hours.The t f(t) coordinate plane is given.The curve begins at the open point (0, 150), goes down and right to the approximate closed point (4, 75). The curve starts again at the approximate open point (4, 225), goes down and right to the approximate closed point (8, 125). The curve starts again at the approximate open point (8, 275), goes down and right to the approximate closed point (12, 150). The curve starts again at the approximate open point (12, 300), goes down and right to the approximate closed point (16, 175). The curve starts again at the approximate open point (16, 325), goes down and right, and ends at the approximate closed point (20, 225).Find lim t → 4− f(t)   and   lim t → 4+ f(t).lim t → 4− f(t)= mglim t → 4+ f(t)= mg

The given formula finds the dose of a medicine needed, in milligrams, based on the weight of a patient, in kilograms. If the current dosage is 20 mg, what is the patient's weight in kilograms?