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- 5. Monica is looking for a book in Perpucil. When passing a shelf, he see that there are some books that are not neatly arranged. He intends to compile books and calculate the number of ways that can be done to arrange the books the. There are 5 types of books that Monica will arrange. Each type of book to be compiled It consists of books with different titles. Here are the details of 5 Types of books to be compiled:● Calculus type books: 5 books● Discrete Mathematics type books: 7 books● PSD type books: 3 books● Kombistek type books: 4 books● DDP type books: 6 booksCount the number of ways to arrange the books in a row on a shelfprovision:a. There are no special requirements in the preparation of the bookb. Similar books should be placed next to each otherc. Similar books should be placed side by side and the book that occupies the position the right and left edges of the shelf are between books of the Discrete Mathematics or DDP typed. Similar books should be placed side by side and…A. Let A = {-2,-1,0, 1, 2}, B = {1, 2,5}, C = {n² € R:n € A}. For items (1)-(4), write TRUE if the statement below is true, write FALSE otherwise. (1) (2) Statement: 2 € A. Statement: BCA. (3) (4) For items (5)-(9), define a relation R from A to B as follows: Given any (x, y) = A x B, (x, y) = R iff y = x² +1. (5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly which ordered pairs are in Cartesian Product A x B. (7) State explicitly which ordered pairs are in the relation R. The statement "For every natural number n, n is positive" is equivalent to Vn E N, n ≥ 0. The statement "If x² = 9, then x = 3 or x = -3" is a conditional statement. (8) What are the domain and co-domain of R? (9) Is A x B C R? Why or why not? answer 5-9 for upvoteNeeded urgently... do it asap... STRICTLY TO BE HANDWRITTEN ONLY
- no upvote if incompleteThe rule of inference that permits us to derive a specific instance from a universal statement is A.Existential Generalization.B. Existential Instantiation.C. Universal Generalization.D. Universal Instantiation.Write the following statement using the words "if ... then." "To graduate this semester, it is sufficient that you have completed 18 credits. " The statement equivalently written using the words "if . then" is which of the following? A. If you have not completed 18 credits, then you graduate this semester B. If you graduate this semester, then you have completed 18 credits. OC. If you do not graduate this semester, then you have completed 18 credits. O D. If you have completed 18 credits, then you graduate this semester.
- Suppose that A E Mmxn(R) is a matrix of user ratings of various movies (on a scale of 1 to 5). Suppose we have computed the SVD of А, and decided to keep the 10 largest singular values as the most important determining factors for a user's choice of movie. Suppose also that a new user has joined the movie subscription service, and has rated some, but not all, of the movies. To predict how this new user will rate other movies (and thus, to determine which ones to recommend), all movies the user has not watched are assigned the average rating for that movie given by all users to form a new matrix A' E M(m+1)xn(R), and the rank-10 approximation of A' is computed from its SVD. The values in the approximation to A' are taken as the predicted ratings for the new user. Given this procedure, which of the following conclusions is most correct?Please help me.4. As soon as possible please.