(m) W ) Given A, Be {sets}, V AC B, A – B= A.

Q: Let S = {a, b, c}, T {b, c, d} and W {a, d}. Find SxT xW. %3D

A: Given the sets S={a,b,c}, T={b,c,d} and W={a,d}. Find S×T×W.

Q: lot sees that the plane is full and all passengers are men. Th pilot take any action to correct for…

A: 1) sample size = n = 41 2) population mean=μ=183 lb 3) population standard deviation = 37.6 3)…

Q: 11. If AMNP is reflected across the line y = 2, then translated using the rule (x + y) – (x – 8, y –…

A: given,

Q: Let! aset os R, sho that whe ther Tbe acofinite to pology on (R,T) is To-spuce and TisPuceand or not…

A: The given question is related with topology. Given that Τ is the co-finite topology on R . We have…

Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? a.) p ^ (q…

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Q: Lt A 28 be anbitrary closed subsets 9 (X,d) 3f A°=4 e B'= ¢ the give Such That AUB)"=X. erample an

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Q: 1. which is notareal A? mLZ =23deg, y-30,x-19 mZZ= 23deg,g-30, x-20 mLZ= 23deg,y=33, x= 20 m/Z= 23…

A: In this question we have to find Angle z and Side b and c. NOTE: As per our policy we are suppose to…

Q: Consider the following sets A = {x |x > 1}, B = {x E N|1< x < 3} and C = (-2, 2). %3D 1. Find: (а)…

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Q: Q.A. Is the nonnepatibe orthaut %(D t. a cohvek set?

A:

Q: A = Acosx + Bsinx + 1 and B = -Asinx + Bcosx Then, what is the A, B ?

A: The detailed solution is given below  Thank you

Q: Let Z = min[X, Y]. P[Z <= 5] ? E[Z] ? P[X < Y]?

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Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

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Q: Suppose p is true, q is true, r is false, s is talse. Find the (s V p) ^ (~r V ~s) True False

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Q: Using a proof by contradiction and the well-ordering property, prove Vr E R, if 2 < r, then Vn E N,…

A: Every nonempty subset of natural numbers has a smallest element, i.e, if B is a nonempty subset of…

Q: List all the combinations of four objects x, y, z, and s taken two at a time. What is C,?

A: The objects are given by {x,y,z,s}

Q: at a port city is s will arrive. needed.) arive) =O needed.) ve) =] needed.)

A: The mean number of oil tankers at a port city is 15 per day (λ) The port has facilities to handle up…

Q: Find the Arey Of the ouer [o,2] ? ojon betueen me gropns fo)=x" and gex) CX+I) こ

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Q: Let fx,y) = xcos(xy)+ y'. Which of the following is true?

A: Given function - f(x,y) = xcosxy3+y7Differentiating with respect to x - fx=ddxxcosxy3 + ddxy7fx =…

Q: When using Simpson's rule we must having two distinct point Select one: O True O False

A: Simpson's rule is used to calculate the value of definite integral by approximating area of the cure…

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: af (8,9). Let f(x,y)=x?y*. Find ду

A: We are given: f(x,y)=x2y4 ⇒∂f∂y=x24y3=4x2y3

Q: PvQv R= (~P = Q)v (~P = R)

A:

Q: C) = ("; ')-(,",) n Q1. Show that : r

A: R.H.S;=n+1r-nr-1=(n+1)!r! (n+1-r)!-n!(r-1)! (n-r+1)!=1 (n+1-r)!(n+1) n!r(r-1)!-n!(r-1)!=n!…

Q: FA- Let A- Not Defined (481 (16 1 AMoving to anther question will onse

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Q: Suppose that A,B⊂S such that Pr[A|B]=25, Pr[A]=12 and Pr[B′]=12. What is Pr[B|A′]?

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Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

Q: Let I^Ncrip)and qnG6) be cudop endant 5how tuat X1y~NB(t!,.

A: Given information: Given that the random variable X follows negative binomial distribution with…

Q: When does vyvxP(x, y) be false? A P(x, y) is false for every pair x, y. B There is an x such that…

A: Given that                       ∀y∀xP(x,y) be false.

Q: The SUstolic bloo an approxi matelu lo and 12o M- Bif a Male . but that he पी Maan Wald

A: The z score can be calculated as follows:   Given: (a) Substitute the given values to find the…

Q: Q1 find acubie palonemiat ofk given-points for27,3},(2,12)e

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Q: if T(x,y) = (x,0) then Null(T) = span{(0,1)} Select one: True False

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Q: Write out the following sets by listing their elements between braces. a. {x € R:x? = x} x {x € R:…

A: Given, the sets. We have to write the sets in the list form.

Q: Find propositions P(x, y) and Q(x, y) that demonstrate tha (Vxay, P(x, y)) A ay, Q(x,y)) is…

A: Let Statement 1: ∀x∃y, Px,y∧∀x∃y, Qx,yStatement 2: ∀x∃y, Px,y∧Qx,y

Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D

A:

Q: A= and B = -- Lc d finl Conditions AB=BA om a, b,c,l sveA that

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Q: a?u at (r,y)=(2,2), when Evaluate u = In vr² + .

A:

Q: paragraph proof: Given:∠WXZ ≅ ∠YXZ,∠XZW ≅ ∠XZY, WX ≅ YX, and WZ ≅ YZ

A: Introduction: Triangle congruence: If all three corresponding sides and all three corresponding…

Q: What is the value of w,(r, 0) at r= 1/2, 0 = 1/2 in Question 7? 1+ 2 et 4 4

A: We have to solve the problem

Q: what ase the Coor dinatos of the Ha reflectiaw across yーメ imonge k (-S,-2), AL-4,'), ico,-),J…

A: Given point is : k-5,-2A-4,1i0,-1J-2,-24  To find the reflection of point about y=x

Q: Given: r || s, s || t 4. Prove: 17 97 10 7. 8. 11 12

A: Given, r∥s , s∥tthenr∥s∥t To prove &lt;6 = &lt;7

Q: In (R, Tst), if b – a > 2, then U-1[a +, b – is not closed. Select one: True False

A:

Q: F(u,v)=(uv)e, +(2uv)e, a) Is conservative?

A: For calculating the vector is conservative or not. We will have to find out curl of the given vector…

Q: Let z, w e C. Show that |2 + w? + |z – w? = 2(|2|2 + |w?). %3D

A: We will show the given result.

Q: Suppose that X, Y C U. If Pr(X) = 0.4, Pr(Y) = 0.22, and Pr(XnY) = 0.07, what is Pr(X' U Y)? %3D

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Q: State the postulate or theorem that justifies the statement. 1/2 3/4 7. 23 = L7 8. 23 = L6 5/6 7/8…

A:

Q: Which of the following is equivalent to the statement "Not all team-mates are friends"? A. O…

A: Introduction: A predicate is a statement or mathematical assertion that includes variables, often…

Q: Let z, w E C. Show that |z + w[? + |z – w|? = 2(\z|² + |w|?).

A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.