# MT2S - Problern 1 The sri'itcli is openecl f 0 har.ingbeen...

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Problern 1 The sri'itcli is openecl at f : 0. har.ing been closed for a long tinre. Deternrine tr,(f) fbr / > 0. + t7 4 ui (,, I .-o (.",O'\ ,/ 2_ ir."/ fr 3 n rl) t =o ,rt * =. U'., C-o+) Pra f .*\ LU/ 9 / *3 f . 't U I \: lV ,l&YA t ^< (+\

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Ploirlenr 2 A. Find the Laplac'e tltrnsfolnr of the follou'ing: i X C"\ )(s2 + -ls (*,\ ( t) r(t) : "-' lu(t) + e2 u(t - z)] x(r\ = {"c--ce\ + ;'--=t.,.c+*z\ *eJ e d ' t - I rm 2 +: fo c IS [, trar - t A f' ace 's/ *t inverse Lapli x( B. Fincl the X (,'\ of , J r? ng 'l lor 7 + fol + tle 8s 13 d r '1 tj
Ploblenr 3 Determine Z(s). then specifv the poles and zeros.

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• Spring '07
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