Question

Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases at a rate that is proportional to the amount of the drug that is present at the time. Thus, C'(t) = -kC(t) where k is a positive number called the elimination constant of the drug. a) If C(0) = 70 mg/litre (the concentration at time t = 0), find C(t) the concentration at time t by solving the differential equation? (5 marks) Note: You must include how to solve this DE as part of your solution.

          Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases at a rate that is proportional to the amount of the drug that is present at the time. Thus, C'(t) = -kC(t) where k is a positive number called the elimination constant of the drug.

a) If C(0) = 70 mg/litre (the concentration at time t = 0), find C(t) the concentration at time t by solving the differential equation? (5 marks)
Note: You must include how to solve this DE as part of your solution.

Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases at a rate that is proportional to the amount of the drug that is present at the time. Thus, C'(t) = -kC(t) where k is a positive number called the elimination constant of the drug.

a) If C(0) = 70 mg/litre (the concentration at time t = 0), find C(t) the concentration at time t by solving the differential equation? (5 marks)
Note: You must include how to solve this DE as part of your solution.

Added by Daniela J.

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