5. Let A={4, 5,6} and B= {5,6,7} and define relations R,S, and T from A to B as follows: %3D For all (x, y) E Ax B, (x, y) e R means that x2 y x-Y EZ (x, y) eS means that T = {(4,5).(6,5),(6, 7)} Draw an arrow diagrams for R, S, and T. b. Indicate whether any of the relations R, S, and T are functions. Explain your answer. a.

Q: 4. Let U = {m,a,t,h,e,w,d,i,n} %3D X = { e,w,m,a,t} y = {e,w,d,i,n} %3D %3D Z= {h,e,w} Find Z' N (Y-…

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Q: Let u = (1, 2, 3), v = (4, 4, –2), and w = (6, 5, -5). Find z, where 2u + v - w + 3z = 0.

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Q: Given z = f(x, y), x = x(u, v), y= y(u, v), with a(7,2) = 5 and y(7,2) = 1, calculate z,(7,2) in…

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Q: Compute the convolution y[n] = x[n] * h[n] of the following pairs of signals: a) x[n] = a"u[n], h[n]…

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Q: 26) If x, y, u, v are variables connected by the relations 1 1 x? =au? +bv2, y² =au² –bv² where a…

A: Given, x2=au12+bv12…1y2=au12-bv12…2 Equation 1+2 gives:…

Q: f(x,y,z) = 6x^2 + 3xy - 2z^3   fx​(x,y,z)= ? fy​(x,y,z)= ? fz​(x,y,z)= ? fyx​(x,y,z)= ?

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Q: 9 At what point do the following lines in R³ intersect? h: (x, y, z)=(3, 1, 2) + s(1,0,2), SER 1₂:…

A: Let's find point of intersection.

Q: Let Det (B)= 4 and Det (A) = x  y  z p  q  r a  b  c  = 3 . Then compute the following: A.…

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Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: Given z = f(x, y), x = x(u, v), y = y(u, v), with x(6,0) = 4 and y(6, 0) = 2, calculate z,„(6, 0) in…

A: We have to solve the problem

Q: Let X and Y be defined as follows: X = {a E Z | a = 3x for some x E Z}, and Y = {b E Z |b = 3y – 3…

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Q: find the independent dominating set for : Cn kn m,n

A: A dominating set of a graph G is a set S of vertices of G such that every vertex not in S is…

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: What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 3 1 4 O 2

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Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: 4 Let X,) be a pankizlly oadered e For x,y € X deftre xLy eff x sy and x#y. Pucose the Fallowiag:…

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Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

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Q: Which of the following windows will show all 6 points listed in the table? O A. Xmin: -4 Xmax: 9…

A: bh;k';l' '

Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

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Q: 2 Let A B = -1 |0 and C = 7 Find x, y,z | 2 -3 such that AB =C.

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Q: 9. Answer Exercise 8 for each of the following relations: (a) A = {1, 2}; R = {(1, 2)}. (b) [BB] A =…

A: Recall: Let R be a relation.(i) Reflexive : If R is reflexive then (a,a)∈R.(ii) symmetric : If a,b…

Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: Given: f (x, y, 2) = z0 + 5x*y%z® _ #°yA 2x°y" + 5æ*y®z° – z°y4 ,3,,7.5 .48 3.4 Required: fzay, fzzy

A: Given f(x,y,z) = 2x3y7z5+5x4y8z6-x3y4 . We need to calculate the value of fzxy and fzzy .…

Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: 8. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: In the given question we have to draw the arrow diagram of the relation U,V and W and we have to…

Q: When is S \ T = T \ S for sets S, T?

A: Given that two sets S and T. The definition of S\T=a∈S,a∉T and T\S=b∈T,b∉S. Here, neither of these…

Q: 3 For f(x,y) = In x+y°, 4,8)

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Q: 2c.) Draw a Venn diagram for: x•y•z

A: By using basic probability venn diagram.  Make a venn diagram of X. Y. Z

Q: Given z = f(x, y), x = x(u, v), y = y(u, v), with x(6,2) = 5 and y(6, 2) = 4, calculate zu(6, 2) in…

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Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(4, 2) = 5 and y(4,2)= 1, calculate zu(4, 2) in…

A: Given that z = f(x,y) , x =x(u,v) , y=y(u,v)  we have to find zu(4,2)

Q: Draw the Venn diagrams to illustrate the following: a) Xn (Y n Z) = (X n Y) n Z. b) X(Ү — X) 3 ф аnd…

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Q: 8. Let A (2, 4) and B (1,3, 5) and define relations U, V, and W from A to B as follows: For all (x,…

A: Given that: A={2,4}B={1,3,5}

Q: Consider X and Y with fx,r(x, y) in the table. Specify whether X and Y are independent. x = 1 x = 2…

A: Given that  Joint probability distribution function of X and Y is    x=1 x=2 y=3 0.20 0.40…

Q: 6. State the congruence relation for AABC and ADEF. A. SSS B. SSA 4. C. 4.5 E С. C. AAA 4.5 D. SAS…

A: Given, ∆ABC  and  ∆DEF      We have to write the congruence  relation for ∆ABC  and  ∆DEF

Q: Determine which of these relations are transitive. The variables x, y, x', y' represent integers.…

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Q: The elimination of ci and c2 gives the relation Yk 1 1 2 0, (1.53) Yk+1 4 Yk+2 25 which, on…

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Q: 9. If u = (x – a)/h, v = (y – b)/k, where a, b, | h, k are constants, then b and b are related by :…

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Q: Given w = (xỉ + x3 + ... + x%)*, for n > 2. Then for what values of k, the following relation holds:…

A: Given that w=x12+x22+x32+x42+..+xn2k for n≥2. Take the derivative with respect to x1,…

Q: Let (X, Y) be BVN(1,0, 1, 2, p). (1) Find E(X |Y). (2) Find E(X² |Y).

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Q: If f (æ, y, 2) = x²y – 3yz + 2æz* , then f (2, 1, –1) is 2 O 5

A: If f(x,y,z) =x2y-3yz+2xz3, then f(2,1,-1) is

Q: If W= R Cx, y,Z),g (x,y)=a,hcx,Z)= C, then Find dlw

A: Use chain rule of differentiation to solve this problem.

Q: If A (x, y, z) = (5y – az) i + (3z + bx) j + (cy – 4x) k is conservative, what are the values of a,…

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Q: 1 4. If S(x,y)= find f, and f,. + y³

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: When an automobile stopped by a roving safety patrol, each tire is checked for tire wear, and each…

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Q: 6. Compute fxyx (1, –3) and fyxy (1,–3) for f(x, y) = (x + y)*.

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Q: EF C and 0 are subsets of Y, then %3D

A: Solution for 6: Given C and D are the subset of Y. We have to show f-1(C)-f-(D)=f-1(C-D)

Q: 5. Find the complement of XY' + X'Y

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Q: Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: It is given that (x, y) is in U if and only if y-x≥1. Now, for every x in A, we find the values of y…