12 1 point Define RS for R = {(a, a), (b, a),(c, b),(d, c)}on A =...
10. TRUE or FALSE: Write TRUE if the statement is always true; otherwise, write FALSE. _a. {0} c{{0}, {{0}}} _b. Ø $ ({1, 2}), the power set of {1,2} c. If5<3 then 8 is an odd integer. d. The relation R = {(a,b), (b,a)} is symmetric but not transitive on the set X = {a,b}. e. The relation {(1,2), (2,2)} is a function from A={1,2} to B={1,2,3} _f. If the equivalence relation R = {(1,1), (2,2), (3,3), (4,4), (1,3), (3,1),...
Problem 1.2 Consider an experiment with sample space S = {1,2,3,4}. Define events A, B, C as A = {1,2}, B = {2,3}, C = {1,4}. (a) Are A, B, C mutually disjoint? Are A, B, C collectively exhaustive? (b) Is it possible to have P[A] + P[B] + P[C] = 1? Explain why or why not. (c) If P[A] + P[B] + PIC] = 1, what is the value of P[A]?
Which of the following series diverges? n +2 2n -1 n1 n+3 O A. 2 B. O C. 1,3 O D. 1, 2 OE. 2, 3 F. None O G. O H. 1,2,3 Find the sum of the series A. B. OC. 1/10 D. 1/2 3/2 3/4 OE. 1 F. 5/12 OG. 1/4 H. Divergent Which of the following series converges? oo 2n 1.Σ n 1 23n nE1 (n+ 1)3 n+ 1 3. O A. None O B. 2 O...
Math 240 Assignment 4 - due Friday, February 28 each relation R defined on the given set A, determine whether or not it is reflexive, symmetric, anti-symmetric, or transitive. Explain why. (a) A = {0, 1,2,3), R = {(0,0).(0,1),(1,1),(1,2).(2, 2), (2.3)} (b) A = {0, 1,2,3), R = {(0,0).(0,2), (1,1),(1,3), (2,0), (2,2), (3,1),(3,3)} (c) A is the set of all English words. For words a and b, (a,b) E R if and only if a and b have at least...
Questions 1-5 are to be answered from the following possibilities: 30% CH2CH3 CICH HH H CHE нссн 3% 74% No Reaction H2C7 H70% CHE J. H 70% CH.CH H3 - CH H 30 CH 3.Q.no - ? 1. Ooo - ? 50% H2SO4, 100°C 5. HOH Question 6 is to be answered from the following possibilities: Br Η HC CH, H CHE 6. Identify the identical products formed in the following reaction: сн. (a) 1,2 (b) 1,3 (c) 1,4 (d)...
For the following relation schema and set of FD's R(A,B,C,D) with FD's AB->C, B->D, CD->A, AD->B Indicate the BCNF violations, and decompose the relations into relations that are in BCNF.
the last pic is number 14 please answer it as a,b,c,d as well. thanks 1. If A is diagonalizable then A is diagonalizable. a) True b) The statement is incomplete c) False d) None of the above 2. In every vector space the vector (-1)u is equal to? a) -U b) All of the above c) None of the above d) u 3. The set of vectors {} is linearly dependent for a) k = 3 b) k = 1...
10. Verify that the relations given below are quasiorders. List the elements of each equivalence class of the induced equivalence relation, and draw the Hasse (a) On the set (1,2,..., 303, define mn if and only if the sum of the digits (b) On the set (1.2,3,4,11, 12, 13,14,21,22,23,24), define mn if and only diagram for the induced partial order on the equivalence classes of m is less than or equal to the sum of the digits of n. if...
B (2,4) A (-2,3) C (11,2) 0 3y+ 2x+5-0 In the diagram, the points A, Band C have coordinates (-2,3), (2,4) and (11,2) respectively. D is a point such that DA is perpendicular to AB, and Dlies on the line 3y+ 2x+ 5 = 0. 141 Find the coordinates of D. Point E lies on DC and the ratio of the length of DE to the length of DCis 2:3 (i) 141 (ii) Find the area of triangle DBE. (ii)...
Draw structures corresponding to the following systematic names: (a) (4Z)-2,4-Dimethylhexa-1,4-diene (b) trans-3,3-Dimethyl-4-propylocta-1,5-diene (c)(E)-4-Methylhexa-1,3-diene (d) (3E,5Z)-2,6-Dimethylocta-1,3,5,7-tetraene