Write expressions for the derivative t gt 0 and integral, Physics

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Write expressions for the derivative t gt 0 and integral

1. Write expressions for the derivative (t > 0) and integral (from 0 to t) of the exponential waveform

i(t) = [100e^-2500t] u(t) mA.

2. An exponential waveform decays to 50% of its initial (t = 0P) amplitude in 20 μs. Find the time constant of the waveform.

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