Statistics Solutions

(Steps Shown) During a surge in the demand for electricity, the rate, $r$, at which energy is used can be approximated by r=(d E)/(d t)=t e^-a t where t

Question: During a surge in the demand for electricity, the rate, $r$, at which energy is used can be approximated by

\[r=\frac{d E}{d t}=t e^{-a t}\]

where \(t\) is the time in hours and \(a\) is a positive constant.

  1. Find the total energy, \(E\), used in the first \(T\) hours as a function of \(a\).
  2. What happens to \(E\) as \(T \rightarrow \infty\) ?

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document


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