QuestionA sample of 9 grams of radioactive material is placed in a vault. Let $P(t)$ be the amount remaining after $t$ years, and let $P(t)$ satisfy the differential equation $P^{\prime}(t)=-0.032 P(t)$. Answer parts $(a)$ through $(g)$. (Type an expression using t as the variable.) (b) What is $P(0)$ ? $$P(0)=9$$ (c) What is the decay constant? $\square$