Satisfiablity :
If given boolean expression is true for any combination of values of its variables.
Proposition:
A propostion is a declaration that can be true or false, but not both.
Question : 13
5 + 4 = 8, it is false because 9 != 8, So its a proposition.
It wiil be sunny tomorrow.
Take out the trash.
Chocolate is best flavor.
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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...
Q2: 1. Proof this Boolean expression. Use Boolean Algebra (X+Y). (Z+W).(X'+Y+W) = Y.Z+X.W+Y.W 2. For this BF F(X,,Z)=((XYZ)(X +Z))(X+Y) • Design the digital circuit Derive the Boolean Function of X, Y, Z. Simplify the Function Derive the truth table before and after simplification. Derive the BF F(X,Y,Z) as Maxterms (POS) and miterms (SOP). Implement the F(X,Y,Z) after simplification using NAND gates only. Implement the F(X,Y,Z) after simplification using OR NOR gates only.
Normal form, III. Rewrite the following Boolean expression in normal form: f(x, y, z) = (x ∧ (( y ∧ z) ∨ (ȳ ∧ z))) ∨ (x ∧ (( y ∧ z) ∨ (ȳ ∧ z))).
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...
BI U & A 5 5b. Factor the expression 5a. Factor the expression x' + 5x + 6 x² + 3x - 28 MUST SHOW WORK ON SEPARATE SHEET OF PAPER 2 6x - 14 = 0. 6. Solve for the exact values of x by completing the square: x Leave your answer in simplest radical form. MUST SHOW WORK ON SEPARATE SHEET OF PAPER 7 Chanc 2.2 A 2.unbate the followinn The My 2 4 3 5 6 9...
Question 2 Let U = {q, r, s, t, u, v, w, x, y, z} C = {v, w, x, y, z}. List the elements in the set. CU
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...
please answer all Canvas Question 17 2 pts Given the function f(x,y,z) and the expression xyz + x2 + yz, how many minterms are in the expression? None of these 1 a,c a,c b start 90 91 Given the FSM above, what is Q? 90.91,92,93 90 None of these 92 Question 19 5 pts
Let Select all that apply Let z =f(x,y)= arctan(3x In(6) Select all that apply Your answer: The slope of the tangent line to the curve obtained by intersecting the 9 surface z =f(x,y) and plane x = 3 at the point (3,6) is 6(811n (36) + 1) + fxy 54x2In(6y)+3) y(18x2in(6) + 1)2 (fxx (4,2))-(fvx(4,2)) = 0 The slope of the tangent line to the curve obtained by intersecting the 3In(36) surface z = f(x,y) and plane x = 3 at...
Implement the Boolean function F(w,x,y,z) = Σm(3, 4, 5, 1 1, 12, 13, 14, 15) using a minimum number of NAND gates only. Write the minimal logic expression (no need to draw the circuit).
Select the best answer for the question. X+9 2x-3 Why 11. In the diagram, XW = x + 9 and RQ = 2x - 3. Solve for x. A. 4 O C.7 D. 5 Select the best answer for the question. 10. Write the equation for the perpendicular bisector of a segment that has endpoints (1, -4) and (3, 2). O A. y = -1/3X – 1/3 O B. y = -3x + 5 O C. y = -3x -...