EOCP $8\mathrm{.}3$ Consider the following continuous time signals: $1.$ x$($t$)=1$e$2000|$t$|$ $<$ t $2.$ x$($t$)=100$e$500$t t $0$ Follow a procedure similar to that in EOCE $8\mathrm{.}8$ and EOCE $8\mathrm{.}7$ to $1.$ Find the approximate maximum frequencies for both signals where the magnitude spectra approach zero magnitude $2.$ Find appropriate time intervals where the two signals approach a value of zero outside these intervals $3.$ Sample both signals at fs $>2$fm and find x$($n$)$ for both where fm is the approximate maximum frequency after which the magnitude spectra is approximately zero $4.$ Sample both signals at fs$<$ fm $5.$ Look at the effect of sampling in the frequency domain for both signals $6.$ Look at the effect of sampling in the time domain $7.$ Draw a conclusion regarding observations on this problem