5.(15 points) Suppose variables x,y denote people. Y(x,y) denotes " x is younger than y".F(x,y) denotes " x is a friend of y ". Translate the following sentences into logic: a. Emma is the youngest person b. Ruth is the oldest person c. Everyone has a friend d. There is someone who is everybody's friend. e. There is someone who is nobody's friend. f. Joshua has a younger friend