Discrete Mathematics 5. (4 points) Circle the statements that are true and cross out the statements...
55/E2 Discrete Mathematics Which of the following statements about sets is true? a. A set is a well-defined unordered collection of objects of b. The cardinality of a set cannot be negative estion c. Ifx e A orx e B then X E AUB d. The empty set is a subset of every set page EDUOASIS MAT 255/E2 | Discrete Mathematics Question 6 Let A and B be sets. Which of the following corresponds to the shaded part in the...
T 255/E2 Discrete Mathematics tion 3 If a set has 4 elements, then what is the size of its power set? Write down the final numeric answer. yet wered Answer: ked out of Flag question UOASIS AT 255/E2 | Discrete Mathematics Question 5 To show that A B where A and B are sets, we need to show that Not yet answered ра. А с В Marked out of 1.00 b. BSA P Flag question Ne Previous page
(16 points) For each of the statements below, circle True if you think it is true, and circle False if you think it is false. You may use the space to do scratch work, but no partial credit will be awarded on this question. (4 points for each statement.) (a) True False The vector field F3)defined on all of R2, iscservative. (b) True False The veetor field F defined on R2 minus the origin, is conservative (c) True False A...
Discrete mathematics Determine if the following statement is true or false. Justify your answer If a = b (mod n) then a^3 = b^3 (mod n)
Discrete Mathematics Use the graph to answer the following questions 9 (a) (4 Points) Label one of each of the following parts of the undirected graplh i. Vertex ii. Edge ii. Loop iv. Circuit (b) (4 Points) Find the degree of the follow vertices: i. "g" iii. "?" (c) (2 Points) Find the total degree of the graph (d) (4 Points) Describe, with a list of vertices traveled, a walk from"c" to "b
Problem 2. For the following statements, write down whether true or false (No justification needed, and for ease of grading, please make it clear what is) (1) (a) xE (b) х€ {{x}} (c) x}€{{x}} (d) } E (2) (a) C 1,2,3 (b) E {1,2,3 (c)E P({1,2,3} (d) n0 (3) (a) 1,2,3 (b) {1,2,3} с {1, 2, 3} (c) An0 (d) AU A (4) a) ZnZ = Z (b) ZUZ 22 your answer Problem 3. List the elements of the following...
Problem 5 (10 points): Circle "T" for True or "F" for False for each of the following statements T F For a smoothing filter given by y[n]-(1-a)x[n] + αy[n-1], where 0 < α 1, the effects of an individual input sample never die out. The following system, where N > 1, is a high-pass filter: TF N-1 T F If the output of a digital filter depends on both current and past input values, it is called T F An...
MAT 255/E2 | Discrete Mathematics Question 8 Let A, B, and S be finite sets. Which of the following statements is true? Not yet answered O a. If |AL < 1B[ then |P(A)| < |P(B) Marked out of 1.00 O b. if A e B then ALBI P Flag question O ces d. if Ac B then Als B1 o e, if|AL = |B| then ACB Previous page
Discrete Mathematics. Thank You!! 3. Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? (5 points) b) The first digit must be 1 and repetition of the digits is not allowed? (5 points)
I. True or False, 25 points (5 each), Read the following statements and indicate whether the statement is true or false. For extra credit (5 points each) explain how the false statements are not true. 3. DNA polymerase I performs proofreading by requiring a higher concentration of the next dNTP following a mismatch, allowing time for unwinding of the nascent duplex and 3 5' exonuclease digestion. 4. The DNA duplex of the genome is flexible enough to allow many values...