(Solved): Determine the current flowing through a resistor if the cumulative charge that has flowed through i ...

Determine the current flowing through a resistor if the cumulative charge that has flowed through it up to time $t$ is given by a) $q(t)=3.6t\mathrm{mC}$ b) $q(t)=5\sin (377t)?C$ c) $q(t)=0.3\left[1?e^{?0.4t}\right]pC$ d) $q(t)=0.2t\sin (120($ pi)t $)nC$ a. $3.6\mathrm{mA}$ b. $1.885\cos 377\mathrm{t}\mathrm{mA}$ c. $0.12{\mathrm{e}}^{?0.4\mathrm{t}}\mathrm{pA}$ d. $0.2\sin 120$ (pi)t+75.4tcos120(pi)t nA a. $3.0\mathrm{mA}$ b. $2.885\cos 377\mathrm{t}\mathrm{mA}$ c. $0.15\mathrm{e}?0.4\mathrm{tpA}$ d. $0.2\sin 120($ pi)t+75.6tcos 120 (pi)t $nA$ a. $3.0\mathrm{mA}$ b. $2.885\cos 377\mathrm{t}\mathrm{mA}$ c. $0.15\mathrm{e}?0.4\mathrm{t}\mathrm{pA}$ d. $0.2\sin 120($ pi)t+75.6tcos 120 (pi)t nA a. $2.6\mathrm{mA}$ b. $1.4\cos 377\mathrm{t}\mathrm{mA}$ c. $0.12\mathrm{e}?0.4\mathrm{t}\mathrm{pA}$ d. $0,2\sin 120$ (pi)t $t+75.7t\cos 120$ (pi)t nA a. $3.85\mathrm{mA}$ b. $1.95\cos 377\mathrm{t}\mathrm{mA}$ c. $0.22\mathrm{e}?0.4\mathrm{t}\mathrm{pA}$ d. $0.4\sin 120$ (pi)t+75tcos 120 (pi)t nA