What physical feature made it difficult for foreign armies in to invade Rome from the north​

You are an faa-certificated air traffic control tower operator employed by the faa in that position. you are required to also hold a current faa aviation medical certificate to exercise the privileges of your certificate. your current medical certificate expires tomorrow and you're online filling out the faa application form to get a new medical certificate, when you come to the question: "do you currently use any medication (prescription or nonprescription)? " you've been under a lot of stress lately at home, mainly caused by family finances, and were feeling pretty depressed. sensing your mental state, your brother-in-law gave you a bottle of prescription anti-depressant tablets, saying: "here, try these; they really worked for me when i was all down about losing my job last year and i don't need them anymore." you tried them, they are working, and you're feeling fine now that you're taking them. there's no record of you getting the meds, and you consider answering the question "no" to avoid the possibility of a truthful answer causing problems for you at work. describe in detail all of the possible adverse legal consequences you would be risking if you give that false answer.

Situation #2: imagine that you are a newspaper editor in columbus, oh in 1863. the civil war has been dragging on for more than two years already and shows no signs of ending soon. you are aware that many black males are willing to enlist in the union army but you fear that they may be mistreated and abused by the majority of soldiers on either side in this war. write a one-page letter (double spaced) editorial for tomorrow's edition of the newspaper. the topic is military service in the union army by free african american males. in your editorial, take a clear position for or against having black men join the fight. be sure to give reasons for whatever position you choose to take.

What is the rule relating the ratio of marginal utility to prices of two goods at the optimal choice? explain why, if this rule does not hold, the choice cannot be utility-maximizing.