Problem #2: Let Xbe a continuous random variable with probability density function 4xe x > 0 f(x) = otherwise (a) Find the value of the moment generating function of X at t = (b) Find E[X³]. Enter your answer symbolically, as in these examples Problem #2(a): Enter your answer symbolically, Problem #2(b): as in these examples

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

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Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

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Q: 4 3/4 - 2 5/6

A: Given that the expression is

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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

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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: 1) (8s° - 9s) - (3s° + 4)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

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Q: X ~ N(1, 2)

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A: Evaluate -3d6w33=?

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A: Given:The indefinite integral given is

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Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

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

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A: Given,

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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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