If x,+iy, =x,+ iy, then x =y, 1

Q: If U(x,y)=In(x²-y³) then Ux+Uy= ... XX

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Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2]

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

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Q: 3,4,s, then メ. rind PCX=5) , P(X==), P(x<2) P(XS2)

A: Given that  Let X denotes the random variable having values 1,2 ,3 ,4,5  We have to find P(X=5),…

Q: Let S = {2x,1 – x, x² + x – 1,x + 1}. Then %3D

A: The correct answer is

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

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Q: If xly then gcd(x,y) = y. إختر واحدا:

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Q: , where a, B,Y

A: Let f(x)=αx2+βx+γ be a function defined on the closed interval [a,b], where α,β,γ,a,b are real…

Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

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Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

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Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: Find y,(x) if y = In(In(Inx)).

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Q: 8. Show that, for u, v E R³, ||u|| ||| = (u - v)² + ||u x v||².

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Q: Let X,X2, ,X, be a ranc *(X), = 0*(1– 0)1-x; %3D

A: from above distribution is binomial  f(x)θ=θx(1-θ)1-x  ;0&lt;x&lt;1 E(x)= nθvar(x)=nθ(1-θ)…

Q: find x, y from [2 x + y 2 x - ] 3 3 3 O x=-9/2, y=-3/2 O x=3/5, y=2/3 none Q x=9/2,y=-3/2

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

Q: 7. If (x, y, 2) = 3xz³y – y?, find grad o at the point (1, -2, –1) Ans. - (16î + 9j + 4k)

A: The gradient of a scaler point function φ is obtained by applying the del operator ∇ to the scaler…

Q: If U(x,y)=In(x²-y²) then Ux+Uyy= XX .....

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Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: If divF (x, y, z) = 0 for all (x, y, z), then curlF (x, y, z) = (0,0,0) for all (x, y, z).

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Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y&lt;ε, ∀ε&gt;0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε&gt;0,…

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: If W(-10, 4), X(-3, -1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your…

A: The given coordinates are

Q: If v = (3, – 1, 1) and w = (-2, –2, –2) , what is v x w ?

A: Here two vectors v and w are given, we want to find the cross product or vector product of the given…

Q: 1, Y2, · · , Y9 and it is believed that Y; ~ N(u, 16). Find P(|Y – µl < 2). ...

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Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: Suppose that X,Y⊆UX,Y⊆U. If Pr(X)=0.29Pr, Pr(Y)=0.23 and Pr(X∩Y)=0.08 what is Pr(X′∪Y)

A: consider the problem by Venn diagram Here Y is the subset of X And ABCD is the universal set  So…

Q: If x<y, prove that x<(x+y)/2<y?

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Q: 13. If T:(x, y)– (x – 1, y + 6), then T':(x, y) → (__, .

A: GivenT(x,y)=(x-1,y+6)To findT-1(x,y)

Q: Let S = {2x, 1 –- x, x2 + x- 1, x + 1}. Then S is a %3D

A: for a basis we need to check that a set must be linearly independent and spans the whole vector…

Q: In(2 + x – 2y2 – 3z), 7 =, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

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Q: true or false without justify The sel { 1,2,t, 3,,4,+, csx, coss is mot Ti Bomded in (CToi], Ul6)…

A: True.

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: 28. f,(2,4) if f(x, y) = x* In y

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Q: 2) Evaluate yzdx+ xzdy + xydz where c is the line segment from (1,1,1) to (3,2, 0).

A: Given: c is a line segment joining 1, 1, 1 and 3, 2, 0. To evaluate: ∫cyzdx+xzdy+xydz

Q: 2. 1. If UZ = x+ 21 and ZS = 3x – 15, find US.

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

A: u=1,2,3v=2,2,-1w=4,3,-42u+v-w+3z=0

Q: EVALUATE S(3sin t - 2cos t) dt

A: Topic = Integration

Q: Let X,Y⊆UX,Y⊆U. Suppose that n(X)=26n(X)=26, n(Y)=24n(Y)=24, and n(X∩Y)=20n(X∩Y)=20. How many…

A: To derive the number of elements in the set X' union with Y , from the given data

Q: (b) Show that when dist(x, y) = dist(x, –y), then x and y are onal. orthog- %3D

A: Given  dist(x,y) = ||x-y||

Q: a,b,x,y, are negative numbers a⁵ + b⁵<= 1 x⁵ + y⁵ <= 1 prove that a²x³ + b²y³ <= 1

A: Given information: The numbers a,b,x and y are negative numbers. The conditions are a5+b5≤1,…

Q: ф%3 ASin2лut $ = TUt dø, k " ø = 0 dr m U = ? +

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.