According to boolean algebra x.(1 + y) =?

Q: x+y uis = 1 n upi = no • prove that x-+ y-

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Q: 3) Prove that ae*+be-x a) b b > 0 ex+e~x

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Q: Yk+1Yk – 2yk - -2 into the linear o quation ea

A: Given,                     yk+1yk-2yk=-2                                (6.38)

Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: (c) Is ergodic (d) Is wide sense stationary

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Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: Q53- X--) (xij-Xi - X.j+X)=Zero 13D 「に )に prove that e to

A: We need to prove the given equation.

Q: How did they calculate what T does to the elements of B?

A: You want to know "How did they calculate what T does to the elements of B?" We have  B=1, x, x2, x3…

Q: d csc 'x dx -1 Prove that xVx? – 1 2.

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Q: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

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Q: Find all positive integers x, y, z satisfying x · y · z² = 5xyz. '*

A: Introduction :Given , positive integers x,y,zwe have asked to find the values of x,y,z which…

Q: Express y as a fiunetion af k if y - 2r+5, 1- V3t -1, and t- 3k - 5.

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Q: ez = -2

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Q: Indicate the method you would use to prove the two A's . If no method applies, enter "none". of

A: Given ,  Here ,  Two angles are equal and one side is equal .

Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: prove that erf (x) dx =o

A: To prove: ∫−aaerfxdx=0

Q: Find the the fellowing ODE 's general Solution of ODE'S x³ - X %3D

A: Given ode xy'+4y=x3-xy'+4yx=x2-1

Q: The value of the Boolean expression (x + y. z). z © z for a = 0, y = 1, z = 0 is O 1

A: Solution:

Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Show that E-o (-1)*(")=0, and then verify that () + C) + C)+ - = (") +C) + () +-- -G) + G) + G)-…

A: We can show given identity by definition of Binomial theorem:

Q: Proof by contrapositive that for x, y ∈ Z, if xy is even then either x or y is even.

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Q: What values of the Boolean variables x and y satisfy xy = x+ y?

A: We have to use Truth Table.

Q: Evaluate. Assume u > 0 when In u appears. te-7t2 dt

A: Use the method of substitution

Q: Evaluate In r dydx y – K + 13

A: In this question we have to find double integral.

Q: Proof by contrapositive that for xy EZ, if xy is even then either x or y is even.

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Q: Q/Use Definitien 13.4-1 +o prove that f(x,r}>x+y' is difterentialeat (o,0).

A: Given function is  fx,y=x2+y2

Q: Select the description that characterizes the Boolean expression: xỹz CNF and DNF CNF, but not DNF…

A: Conjunctive Normal Form (CNF) is an expression which is intersections of unions. Disjunctive Normal…

Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: 2. Show that coo(N) co(N) § c(N) Ę e^(N).

A: To prove that c00N⊂c0N⊂cN⊂l∞N. By definition, c00=x∈lp|all but finitely many xj's are zeroc=x∈l∞|xj…

Q: (a) Prove the following property: (:) - (.".)

A: Hey, since there are more than two questions posted, we will answer the first question. If you want…

Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: (D² -1)y = 2(1-e-2x)-1/2

A: Given that (D2-1)y=2(1-e-2x)-12

Q: dr is divergent a true b) false

A: We have to calculate  ∫1∞1x2 dx.

Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: The dual of the Boolean Expression (x+y+Z) + XyZ is a- (xyz).(x+Y+Z) b- (xyz) + (X+ y+Z) C-(x +y+Z)…

A: The dual of a Boolean expression is the expression one obtains by interchanging addition and…

Q: prove using soundness that the converse of Axiom 2: (vx)A → A[x := t] is not a theorem

A: Solution: If Î" ` Ï• then Î" |= Ï•. Completeness If Î" |= Ï• then Î" ` Ï•. Thus, any formula proved…

Q: What are the value for sup e-* = е x>0 and inf e * - = XER

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Q: D. Let Find 2,-

A: We will find out the required value.

Q: TO -n invested on the day of their niece" uously? $

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Q: (2) Find the value of ß (,-)

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Q: 2. Let A be non singular. Show that if Ax = 0, then x = 0.

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Q: -x+y<y. 2 If x < y, prove that x <

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Q: Find an expression of for y = 2*ev*, Hint: (a*) = a* . (x) · In a

A: We can find the derivative as below

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x&lt;0

Q: c- Verify Clairaut’s Therom f(s,t) = s²t + In(t²-s)

A: In the question it is asked to verify Clairaut's theorem for the following function given in…

Q: 6. Find the duals of the Boolean expression: x @ y, whereх Өу— (х+у)(ху) or х@у%3D(ху) + (ху). а)…

A: Solution

Q: e){x*,x%,x}on(0,)

A:

Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: Q3- Give an example of two denes not equal X subsets of (R,Te) and (z,ror ). ( Explain your answer…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.