(Solved): .20 The voltage and current at the terminals of the circuit element in Fig. 1.5 are zero for t< ...

$$.20$$ The voltage and current at the terminals of the circuit element in Fig. $$1.5$$ are zero for $$t<0$$ and $$t>3\mathrm{s}$$. In the interval between 0 and $$3\mathrm{s}$$ the expressions are $$\begin{array}{ll}v=t(3?t)\mathrm{V},& 0<t<3\mathrm{s}\\ i=(6?4t)\mathrm{mA},& 0<t<3\mathrm{s}.\end{array}$$ a. At what instant of time is the power being delivered to the circuit element maximum? b. What is the power at the time found in part (a)? c. At what instant of time is the power being extracted from the circuit element maximum? d. What is the power at the time found in part (c)? e. Calculate the net energy delivered to the circuit at $$0,1,2$$, and $$3\mathrm{s}$$.