Let X, Y subset U. Suppose that n(X)= 22, n(Y)= 20, and n(X intersect Y)= 16. How many elements are in X’ U Y if n(U)= 40?

Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: Let X-(1,0,-1,-V2)'. Then, |X|l2= Select one: a. 2 b. 1 C. 3

A:

Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: 1 Show that u(7) -

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Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: then -A U= 4 5 and uTu · [

A: The given matrix

Q: In (IR, 7sorg), if A = T. sorg :n EN and B = (2, 3) then AUB=

A: A closure is the smallest closed set containing A.

Q: If U = xz - x²2y + y²z², evaluate div grad U O2y + 2z²+2y² O -2y + 2z²-2y² O2y-2z²+2y² O2y + 2z²-2y²

A: I have given the answer in the next step. Hope you understand that

Q: a) Find ū - i b) Find w.u 1/2

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Q: All of the following are equidistant from the point (6,8) EXCEPT о (6, —2) 0 (-2, 12) о (16,8) O…

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Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

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Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

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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: Let U= {1, 7, 2, 12, 5, 10, 20, 18} A = {1, 20, 18} C = {7, 2, 12, 5, 10} Find A U C'.

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Q: A Find a numbel z That satisfies The condubion g af The MUT I dx= 9 4 -4 O -a 0-15

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Q: Suppose that a = xdy is a 1 form and Y(v1, v2, v3) = ((v1 – v3)² (v2 – v3)²) ædy what is "a ?

A: Given α=xdy-----(i)γ(v1,v2,v3)=((v1-v3)2,(v2-v3)2)---(ii) To find γ*α------(iii) from (ii) we…

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

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Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

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Q: Show that S = {x* + 1, xª + x, xª + a², xª + æ*, xª} spans PA.

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Q: Use with (8'e) (-2,) (7,1)

A: Given query is to find indicated vector operation.

Q: There is an equation that describes the cost function of Ridge, where j runs from 0 to p. So if p is…

A:

Q: Let V3 = {(a, b)|a, b E R} with the following operations: (a₁, a₂) + (b₁,b₂) = (a₁ + b₁, a₂ + b₂)…

A:

Q: find the composition, RoS, where S= {(1,a),(4,a),(5,b),(2,c),(5,c),(3,d)} with…

A: Consider the sets, S=(1,a), (4, a), (5, b), (2, c), (5, c), (3, d)R={(a, x), (a, y), (b, x), (c, z),…

Q: Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?

A: Jacobian matrix is a matrix of partial derivatives. Consider the functions, f1(x1,x2,...,xn),…

Q: Which one of the following is isomorphic to Z4 x Z6/((2,4))?

A:

Q: Show that if x is in both W and W-, then x = 0.

A: Dot product of perpendicular vectors is 0.

Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: Suppose X~N (μ,σ') then X – H - - N (0, 1) o2 O True O False

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Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

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Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

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Q: Let M-{1, 2}. Then O IP(MxM)=4 None of the mentioned O MxM={1, 4} O MxM={(1,1),.(2,2)} O IP(M×M)|=16

A: It is a set and relation problem

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”.