Solution :
Q. Which of the following proposition is true?
Answer : (D) All of the above.
Incorrect Question 7 0/5 pts Which of the following proposition is true? (A) The clause {P(a,x,f(g(y))),...
Incorrect Question 8 0/5 pts Consider the following clause: {P(a,x,h(g(z))), P(z,h(y),h(y))} After unification the following clause is obtained (A) P(a,h(g(a)), h(g(a)))} (B) P(a,h(g(x)),(g(a)))} (C) The original clause is not unifiable (D) None of these. (A) (B) (C) (D)
Incorrect Question 10 0/5 pts Which of the following proposition is false? (A) To prove that a formula F in First-Order Logic (FOL) is a valid formula, is sufficient to prove that the formula -F is a contradiction. (B) To prove that a logical consequence F=G where F and G are formulas in FOL is valid, is sufficient to prove that the formula FA-G is a contradiction. (C) The SAT-problem in First Order Logic is a NP-complete problem. (D) Let...
Incorrect Question 11 0/5 pts Consider the following resolution process: Resolution Process: 5.-R(a.y) -R(y,a) v R(aa) 3, with [x/a) [z/a) Original Set of Clauses: 6.-R(a,y) -R(ya) resolve 1 and 5 1. -R(aa) 7. Raf(a)) 2 with [x/a) 2. R(x.f(x)) 8. R(a,f(a)) --R(f(a),a) 6 with [y/f(a)] 3. -R(X.X) -R(Y.Z) ROX.) 9. R(f(a),a) resolve 7 and 8 4. -R(X.) R(x,x) 10.-R(af(a)) R(f(a),a) 4 with [x/a) [y/a) 11. -R(a,f(a)) resolve 9 and 10 12. Raf(a)) 2 with [x/a) 13. Empty Clause 11, 12...
Incorrect Question 5 0/5 pts S3 = [y/g(h(a,b))] Consider the following substitutions: S1 = [y/f(a,g(h(a,b)))] S2 = [x/f(a,y)] Which are legal ground substitutions? (A) S1 and S3 (B) S2 and 53 (C) S1 and 52 (D) All of above mentioned (A) (B) (C) (D)
D Question 3 10 pts The joint pdf of X, Y, and Z is given by f(x,y,z) = 8xyez for 0sxcys 1, z>0 (0 otherwise) What is the joint pdf of U=X/Y and V = Y? O g (u, u) = 8uu for 0 < u-u-1 (-0 otherunse) O g(u,) foru 1 0v1 (0 otherwise) O g (u, u) 4uv for 0 < u < 1; 0 < u < 1 ( 0 otherwise) O g (u, v) = 8uv2...
Question 13 5 pts Which of the following is true for a function f : A + B that is surjective (onto)? a. Rng(f) = B b.every element of B has a pre-image (in A) c. for every y e B, there exists 2 € A such that y = f(x) d. all of the above оа Ob OC d
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
In order to prove this proposition: (P (x)-+ Q (z)) <-(R (z) Л Q (z))you must prove which of the following propositions? Select all (if any) that apply. B) (Q (z) л P(x)) (R (z) Q (z)) F) All of the Above G) None of The Above
In order to prove this proposition: (P (x)-+ Q (z))
Select the Boolean expression that is not satisfiable. 3 (z+u)(z+x)(z+x")(u+y)(u+y) (z+u")(z+x)(z+x)(u+y)(u+y) (zº+u)(z+x)(z+x")(u+y)(u+y") (z+u")(z+x)(z+x")(u+y)(u+y") 6 a Question 13 (1 point) Select the statement that is not a proposition. 12 5+4 = 8 It will be sunny tomorrow. 15 Take out the trash. 7 18 Chocolate is the best flavor. 20 21 Question 14 (1 point) p = T. q = F, and r = F. Select the expression that evaluates to true. 23 24 Срла -р avr
please help. thank you
Incorrect Question 14 0/5 pts Which of the following salts will be basic? A. Ca(NO2)2 B.BaF2 C. NHACI D. All of them Oc OD A&B OA 0/5 pts Incorrect Question 7 Which of the following cations will hydrolyze to generate an acidic solution? A. Na+ B. Cat2 C. Sn+4 D. All of them Oc O A&B