Problem Set One, CS257, Spring 1999 Due Wed Jan 27 turn in via ~cslab/bin/cs257-handin yourcode.scm remember: runnable scheme code. All comments in comments! Exercises 1.2 1.3 1.4 1.5 [type a, b, c for alpha, beta, gamma] Define a function AVE2 that takes two arguments and returns their arithmetic average (ie their mean). (AVE2 2 3) -> 2.5 Define a function AVE9 that takes nine arguments and returns their arithmetic average (ie their mean). (AVE9 1 2 3 4 5 6 7 8 9) -> 5 Define a non-trivial function that calculates something of personal interest to you. Please document it. (The most interesting ones will be shown in class - if yours is chosen and you don't want your name mentioned, please say so in a comment.) Extra Credit: try to figure out whether you should believe: the last digit returned by (EXPT 2 100) the first digit after the decimal point returned by: (SIN 1234567890) the first digit after the decimal point returned by: (SIN 1234567890123456789)