solve the problem A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration, C(t), in milligrams after t hours is modeled by C(t) = (7t)/2t^2+4.
What is your question?
To solve the problem, we need to find the concentration of the drug, C(t), at a specific time, t. The concentration of the drug is given by the equation C(t) = (7t)/(2t^2 + 4).
To find the concentration of the drug at a specific time, you need to substitute the value of t into the equation and simplify the expression.
Let's say we want to find the concentration of the drug at t = 3 hours. We will substitute t = 3 in the equation:
C(3) = (7*3)/(2*3^2 + 4)
= 21/(18 + 4)
= 21/22
≈ 0.955 mg
So, the concentration of the drug at t = 3 hours is approximately 0.955 milligrams.
You can use the same process to find the concentration of the drug at any other specific time by substituting the value of t into the equation and simplifying the expression.