Reconstruct and diagram the following arguments. I$$ve numbered the propositions for you. Determine which are in the argument below and show the relations between all premises and conclusion. Be clear about which number refers to which premise$/$conclusion$.$

$1.$ Without a tax increase there will soon be runaway inflation $[1].$ But Congress refuses to raise taxes $[2].$ Thus, before long there will be runaway inflation $[3].$ That means you should borrow all the money you can right now $[4].$

$2.$ People who study history are wiser than those who do not $[1].$ Studying history makes a person less likely to repeat the mistakes of the past $[2],$ and not repeating past mistakes is a sign of wisdom $[3].$ And because the primary aim of education is producing wisdom $[4],$ all universities should require the study of history $[5].$

$3.$ Here are some reasons why no one should sniff cocaine $[1]$: Cocaine is addictive $[2]$; it is likely to lead to the use of even harder drugs $[3],$ because the user will always be looking for an even greater high $[4]$; rightly or wrongly, it is illegal $[5]$; and it is quite bad for the nose $[6].$

$4.$ Our new movie should star Christopher Lambert $[1].$ We$$re trying to make money on this movie $[2]$ and movies with good actors make money $[3].$ So$,$ we should make our movie with the best actor we can $[4].$ Lambert clearly fits this bill $[5].$ He has fought ninjas $[6]$ and played Beowulf $[7].$ And how can we forget his role in Mortal Kombat $[8]?$

$5.$ The pyramids at Giza are so tall that it seems impossible to build them without modern machines $[1]$tools that the ancient Egyptians did not have $[2].$ The structures are aligned with more precision than even most modern engineers could duplicate $[3].$ Clearly, then aliens must have built these pyramids $[4].$ Moreover, how can we explain the medicinal superiority of the Egyptians $[5]?$ They used honey, which contains rudimentary antibiotics, as a salve for wounds $[6].$ And how else can you explain the fantastic creatures that they have as gods $[7]?$ The ancient Egyptians must have been in contact with extraterrestrial beings $[8].$