How many functions f ta, b, c, d, e1,2,3,4,5) satisfy the following two prop erties! f(a)...
5. (3, 4, 3 points) Let A-a, b, c, d, e, f, g (a) how many closed binary operations f on A satisfy Aa, b)tc b) How many closed binary operations f on A have an identity and a, b)-c? (c) How many fin (b) are commutative? 6. 10 points) Suppose that R and R are equivalent relations on the set S. Determine whether each of the following combinations of R and R2 must be an equivalent relation. (a) R1...
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets have exactly 5 elements? c) A subset is randomly chosen for the collection of all possible a) b) c) subsets. What is the probability that it contains exactly 3 elements? d) A subset is chosen at random from all the subsets. d) What is the probability that it contains the element a?
8. Let f and g be scalar functions with continuous partial derivatives, and let C and S satisfy the conditions of Stokes's Theorem. Verify each identity. (a) dr = Vg) N ds X (b) dr 0 (e) 8. Let f and g be scalar functions with continuous partial derivatives, and let C and S satisfy the conditions of Stokes's Theorem. Verify each identity. (a) dr = Vg) N ds X (b) dr 0 (e)
2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D) = m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E) = m(0,1,2,7,9,11,12,23,27,28) 2.56 Use the Quine-McCluskey method to minimize the following functions with don't cares. (a) f(A,B,C,D) = m(0,6,9,10,13)+d(1,3,8) (b) f(A,B,C,D) = m(1,4,7,10,13)+d(5,14,15) et autorit fiinctione rein the MA techninio 2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D)= m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E)= m(0,1,2,7,9,11,12,23,27,28) 2.56 Use the Quine-McCluskey method to minimize the following functions with don't cares. (a) f(A,B,C,D) = m(0,6,9,10,13)+d(1,3,8) (b) f(A,B,C,D) =...
Possible grades for a class are A, B, C, D and F a) How many ways are there to assien grades to a class of eight (8) students? b) How many ways are there to assien grades to a class of 8 students if nobody receives an OF and exactly two (2) students receive a B?
For the following functions, determine minimal SOP realizations: i. F(a, b, c, d) = ∑ (0, 1, 4, 12, 14, 15) j. F(a, b, c, d) = ∑ (1, 3, 4, 5, 6, 7, 9, 11, 13, 15) k. F(a, b, c, d) = ∑ (0, 2, 6, 8, 9, 10, 11, 14) l. F(a, b, c, d) = ∑ (5, 7, 9, 11, 13, 15)
Suppose D, R are sets of sizes |D| = d, |R| = r. How many functions f : D → R are there if . (a) there are no further restrictions? (b) r ≥ d and f must be injective? (c) r = d and f must be a bijection? (d) d ≥ r = 2 and f must be surjective?
19) How many significant figures are in 1009.630 mL? A) 3 B) 4 C) 5 D) 6 E) 7 F) 8 20) How many different values of my are possible in the 4f sublevel? A) 1 B) 3 C) 5 D) 7 E) 9 F) 11
Please provide an explanation for each part of the question. Thanks! Suppose D, R are sets of sizes ID-d, R-r. How many functions f : D → R are there if … (a) ...there are no further restrictions? r d and f must be injective? (c) ...r- d and f must be a bijection? (d) ..d2r2 and f must be surjective? Suppose D, R are sets of sizes ID-d, R-r. How many functions f : D → R are there...
A=8 B=6 E=5 G=4 C=7 F=9 D=7 The following activities are part of a project to be scheduled using CPM. Determine the critical Path. How many weeks will it take to complete the project? Suppose F could be shortened by two weeks and B by one week. How would this affect the completion date? OBJECTIVE QUESTION 14 The following activities are part of a project to be scheduled using CPM. B-6 A-8 G-4 D-7 E-5 F-9 a. Determine the critical...