Q1. Figure 1 shows the famous coffeepot for Masochist, a French artist in his famous series Catalogue d’ objets introuvables (Catalog of unfindable objects), describes. By looking at this figure, please comment on the following points: (a) What make it impossible to use the coffeepot, (4 marks),
(b) How such an artistic piece of work can be rendered valuable in terms of design. (6 marks)

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

The two main ways in which marketers address the competition with their strategies are by satisfying a need better than a competition and by

The computers in the sales department did not have enough data storage capacity to contain all the information the department needed to store, and it was taking a long time for team members to access the data they needed. to fix the problem, the technician installed new, larger hard drives on all the computers.