Question
Average value In a mass-spring-dashpot system like the one in Exercise $59,$ the mass's position at time $t$ is$$y=4 e^{-t}(\sin t-\cos t), \quad t \geq 0$$Find the average value of $y$ over the interval $0 \leq t \leq 2 \pi$
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The average value of a continuous function \( f(t) \) over the interval \([a, b]\) is given by: \[ \text{Average value} = \frac{1}{b-a} \int_{a}^{b} f(t) \, dt \] Show more…
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