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Question

Indicate whether the statement is true or false. If dQ/dt=5Q-200 then when Q=10, the quantity Q will be decreasing.

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Answered 2 years ago
Answered 2 years ago
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The equation is

dQdt=5Q200\begin{equation*} \dfrac{dQ}{dt}=5Q-200\\ \end{equation*}

When Q=10Q=10 rate of change is equal to 150-150 meaning it decreases. The statement is true.

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