Math  /  Calculus

QuestionA sample of 9 grams of radioactive material is placed in a vault. Let P(t)P(t) be the amount remaining after tt years, and let P(t)P(t) satisfy the differential equation P(t)=0.032P(t)P^{\prime}(t)=-0.032 P(t). Answer parts (a)(a) through (g)(g). (a) Find the formula for P(t)P(t). P(t)=P(t)=\square (Type an expression using t as the variable.)

Studdy Solution
The formula for P(t)P(t) is P(t)=9e0.032tP(t) = 9e^{-0.032t}.

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