*Please answer all 3 parts (they are ALL True or False)* Consider X = (X1, X2,..,X,(T} where X has a multinomial distributon with parameters (size of the sample) and probabilities p, P2,...P Ir we marginalize over 1

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

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Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

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Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: రం్ియ 20 5-6 a06 5a 3. 3.

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Q: 4. 3*+4 72x-1

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Q: 6 2/5 + 1 3/10

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Q: 3s – 7 s- 2s + 3

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Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

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Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

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Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

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Q: Multiply. 5/ x-4 5. 7 6 X+1

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Q: expansion of (1-2m)“

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Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: 29 Using the combination formula expand (5+x)

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Q: 5 (4k + 3) k 1

A: Given,

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

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Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 22 7/8 - 7=

A: Given,

Q: 5s – 6 Find L s² – 4s + 7.

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Q: (7) (-4) + (-4 × 6) x

A: We need to solve algebraic quantity.

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

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Q: y - Sy = 0

A: The given differential equation is: y''-5y=0