y QI:: Let X₁, X₂ ~ N(0,1) 1) X1-X₂ X₁ + X2 2) (x1+x²)2 X₁-X2 what dist of 2X² 3) x² + x²

Q: 3x° + x-10 37x+38 a) Show that 3x-12 + x2 + 4x+4 (x+2)

A: To show that, 3x3+x-10x2+4x+4=3x-12+37x+38x+22

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

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Q: Solve the Gmoar Equation System, Find 1,X2,X3. X(+Xz-2 X3 =17 X2- X3 =2 C Carcansy ile tardndı

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Q: Determine integers x and y such that (а) gcd(51, 288) — 51х + 288у (b) gcd(357, 629) = 357x + 629y

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Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

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Q: The product of 2x3 + 3x? + 1 and 2x2 + 4 in z3 [x]/ is: 4x+1 x^2+2 5x^2+ 5x +1 None

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Q: Determine and y such that 0 [xy 139+223-412,3] = 2x y -5

A: To determine the values of x and y.

Q: C) Worte ex bonent prom into nte exborent from 2x+B. 109= ¢

A: We know that, from the property of logarithm, logab=c⇒ac=b         ⋯⋯1 Also, from the property of…

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: x² + 2x - 7 1) has how many terms? 2) what degree a polynomial is it?

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Q: is o(x). Hint: Use ling divisim

A: Let consider  fx=x4+x2+1x3+1 To show that f(x) is O(x).

Q: Find the He Intertl Of Colvergelke HON e raus and Couverge (3x-1)" 12+h

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Q: j) x(x+2)+

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Q: x = KISS Comb 3 2 15.708×10²³ ± √(15.708x10³)² - 4x150 (-7.5398x106) 2x 150

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Q: 3x2 - x - 2

A: Given function is 3x2-x-2 We can write 3x2-x-2=3x2-3x+2x-23x2-x-2=3x(x-1)+2(x-1)3x2-x-2=(3x+2)(x-1)

Q: State the domain and range of the graph below: 10 Domain: [Choose ] Range: [ Choose ]

A: see below the answer

Q: (x3 — 6х? + 7х+ 6) by (х — 3)

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Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

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Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: find anon-Zero let L(Y) = (ax+by), find and b and d Values of a 4 Such that LI

A: We have to find the value of  such that

Q: iunmplicit depilatives TocA- 2 J t Ina (3x3 -x)(3a - 2)

A: We have to find

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

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Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

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Q: Prove that the expression 2y2 - 128 is equal to 2(x2+2) (x² – 2) (x³ + 4x* + 16).

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Q: /- dr r(r + 10r + 25)

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Q: 2. Which expression is a factor of x² + 2x - 15 1) (х- 3) 2) (x + 3) 3) (x + 15) 4) (х - 5)

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Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: Evaluate / Vx2x/x +1 dx: /2x/x + I dx: 3 (2x + 1) + C 중 금(2xi + 1)' + C + 1) + C 5 (2x3 + 1) +C

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Q: rel= = 0A 15, x² = 4(4x² - 1) If, 2 Prove that, x = √√5 +√√3

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