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)\mathrm{P}(\mathrm{t}). P(t)=9e0.032tP(t)=9 e^{-0.032 t} (Type an expression using tt as the variable.) (b) What is P(0)P(0) ? P(0)=P(0)= \square

Studdy Solution
(a) P(t)=9e0.032tP(t) = 9 \cdot e^{-0.032 \cdot t} (b) P(0)=9P(0) = 9

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