Math Problem Statement

The concentration of a drug in an organ at any time t (in seconds) is given by the function below where C(t) is measured in grams per cubic centimeter (g/cm3). (Round your answers to 3 decimal places.)

(a) What is the concentration of the drug in the organ after 13 sec?   g/cm3

(b) What is the concentration of the drug in the organ after 35 sec?   g/cm3

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Exponential Decay
Function Evaluation

Formulas

C(t) = f(t)
Exponential decay formula C(t) = C₀e^(-kt)

Theorems

Evaluation of Functions

Suitable Grade Level

Grades 10-12

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