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(Solved): 12. A quantity Q satisfies the differential equation dtdQ=Qt0.5. (a) If Q=8 when t=2, use ...



12. A quantity \( Q \) satisfies the differential equation
\[
\frac{d Q}{d t}=\frac{t}{Q}-0.5 .
\]
(a) If \( Q=8 \) when \( t

12. A quantity satisfies the differential equation (a) If when , use to determine whether is increasing or decreasing at . (b) Use your work in part (a) to estimate the value of when . Assume the rate of change stays approximately constant over the interval from to .


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Given that dQdt=tQ?0.5if
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