• Create a class called Book with the following properties using appropriate data types: Title, Author, numberOfPages, o The only methods necessary in the Book class, for this exercise, are the constructor and a toString(). • Create a second class called Volume with the following properties using appropriate data types: volumeName, numberOfBooks and Book [ ]. Book [ ] will contain an array of book objects. o The only methods necessary in the Volume class, for this exercise, are the constructor, toString() and getBookArray(). The getBookArray returns a string of book properties for each book. • Create an application called DemoVolume. o In the main method,  Create an array of book objects to be added to the volume.  Create a volume object called volume1.  Display the properties of volume1.

Write c function that can replace all the positive elements to 0 and negative to 1 in undefined length one-dimensional array. test your program in the main program by defining one-dimensional array of 6 elements

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.

When is an original work considered public domain? a. when posted via social media b. when it is posted on the internet c. when a copyright symbol is not included with the piece of work d. when explicit permission is given by the author / owner