3. [-/3 Points] DETAILS The voltage in a circuit is increasing. Its rate of change is $frac{dV}{dt} = 250e^{-2.5t}$ volts/sec. Guess a formula for $V(t)$. Check your answer using derivative rules. Then use your formula to compute $Delta V$ on $[0, t]$. Ignore units. $Delta V = $ Suppose that you are also given $V(0) = 20$ volts. Compute $V(t)$. Your answer will be a formula involving $t$. $V(t) = $ When will $V = 60$ volts? Be accurate to three decimal places and include units.
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