The voltage v(t) across a device and the current i(t) through it are v(t) = 20sin(4t) volts and i(t) = 10(1+e^-2t)m-amps.
Calculate:
(a) the total charge in the device at t = 1 s, assume q(0) = 0.
(b) the power consumed by the device at t = 1 s.
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