Problem 4 Determine and sketch the even and odd part of the following signal. Label ur sketch carefully .(t) Problem 5 Determine whether or not each of the following signal is periodic. If the signal periodic, determine its fundamental period (a)x(t)=[sin(4t-1)2 (b)xln]=cos(4n+丌/4 (c)an=(1)"cos(2Tn/7) Problem 6 Answer the same set of system property questions as described at the bottom of page 61 of O&W(i.e, determine which of the listed properties hold) for each of the following systems (a)y(t)=x(t+3)-x(1-t) (b)yn 1)"r{n],xm]≥ 2c{n] cm]<0 (c)yIn c[kí➞î➁ïrð➋ñ❺ò✝ó ô õ✌ö●÷❋ö✬ø❁ù➙ú➍û✆ö➃ü❃û✆ý❻þ❁ÿ✰ö●÷✁￾✄✂✢÷☎✂✆ö➙ö✝✆❆ö●û➅ü✰û✆ý✟✞✝ý✆ý✡✠✮ü✰ø❁÷☛✞✌☞✡÷✁✂✆ö✍☞✎✞✌✏✑✏✑✞✓✒✘ú➍û✕✔➜þ❋ú✑✔✰û✮ü✌✏✗✖✙✘❷ü✌✚▼ö✛✏ ✜✞✌✢✆ø✘þ❋ÿ✰ö✿÷☎￾✄✂✣￾✬ü✰ø❋ö✤☞✎✢✕✏✑✏✜✖ ✥ ✦✪✫ ✦✪✩ ✦★✧ ✧ ✩ ✫ ✧ ✩ ✬✮✭✎✯✱✰ ✯ í➞î➁ïrð➋ñ❺ò✝ó ✲ õ✌ö●÷✴ö●ø❋ù✵ú✽û✆ö✳✒✴✂✆ö✿÷☎✂✆ö●ø✵✞❆ø✑û✕✞❃÷✣ö✬ü✌￾✄✂✶✞✷☞❫÷☎✂❇ö✸☞✎✞✹✏✺✏✑✞✓✒✘ú✽û✻✔✌þ❋ú✺✔❆û✮ü✌✏✮ú➍þ✼✠▼ö✬ø❁ú✑✞✝ý✆ú✑￾✷✖✮✽✾☞❫÷☎✂✆ö✟þ❋ú✺✔❆û✮ü✌✏ ú✽þ✳✠▼ö✬ø❁ú✑✞✝ý✆ú✑￾✷✿❇ý✆ö✿÷✴ö●ø❋ù✵ú✽û✆ö☎ú▲÷✴þ❀☞✎✢✆û✆ý✆ü✰ù➙ö●û✷÷➇ü✌✏❁✠▼ö✬ø❁ú✑✞✝ý❂✖ ✭ ü ✰❃✬✮✭❄✯✱✰✼❅❇❆ þ❁ú✽û ✭✎❈✌✯ ✦❉✧ ✰❋❊✺● ✭ ✚ ✰❃✬✮❆■❍❏❊❏❅ ￾✝✞❆þ ✭✎❈✹❍▲❑◆▼P❖◗❈❘✰ ✭ ￾ ✰❃✬✮❆■❍❏❊❏❅❙✭ ✦☛✧ ✰❋❚ ￾✝✞❆þ ✭ ✩▼❁❍❁❖✌❯✹✰ í➞î➁ïrð➋ñ❺ò✝ó ❱ ❲☞û❇þ✱✒✣ö✬ø✡÷☎✂❇ö✌þ✴ü✰ù✵ö☞þ❁ö●÷✳✞✷☞❷þ✜þ❁÷❋ö✬ù❳✠❇ø✁✞✹✠▼ö✬ø✲÷✜✶❨✢✆ö●þ❁÷✴ú✺✞❆û✆þ✘ü✰þ✣ý✆ö✬þ✱￾✬ø❁ú✑✚▼ö✬ý➦ü❃÷❉÷✁✂✆ö✪✚❩✞✰÷❁÷☎✞❆ù ✞✌☞❬✠✮ü✌✔❆ö❪❭ ✧ ✞✌☞❴❫❛❵❝❜ ✭ ú✗✖➮ö✌✖❞✿✣ý✆ö✿÷✴ö●ø❋ù✵ú✽û✆ö❃✒✴✂✆ú✺￾✄✂❡✞✌☞✙÷☎✂✆ö✙✏➍ú✽þ❁÷❋ö✬ý◆✠✆ø✱✞✹✠❧ö●ø❁÷❋ú✽ö✬þ❢✂✕✞✌✏✽ý ✰ ☞✎✞❆ø❩ö✬ü✌￾✄✂❉✞✷☞☞÷☎✂❇ö ☞✎✞✹✏✺✏✑✞✓✒✘ú✽û✕✔➝þ✜þ❁÷❋ö✬ù✵þ✛❣ ✭ ü ✰✙❤✐✭✎✯✱✰❥❅❦✬✮✭✎✯❧❑ ✫ ✰ ✦ ✬✮✭ ✧✴✦ ✯✱✰ ✭ ✚ ✰✙❤✐❆♠❍❩❊❩❅ ♥ ✭ ✦☛✧ ✰ ❚ ✬✮❆■❍❏❊♣♦ ✬✮❆■❍❏❊Pq ✥ ✩✬✮❆■❍❏❊♣♦ ✬✮❆■❍❏❊Pr ✥ ✭ ￾ ✰✙❤✐❆♠❍❩❊❩❅tst✉✈✄✇❚ ✬✮❆②①❘❊ ✩