Statement: If X, and X, are two independent Cauchy variates with parameters (2,, 4) and (2,,u,) then the sum (x, +X,) is also a Cauchy variate with parameters (a. + a. , + lla).

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Sx(2x – 3)®dx

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Q: Verify the following identities. Be sure to show all steps in a clear and neat sequence. 1. sin x +…

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Q: Simplify. Assume that all variables represent nonnegative real numbers. V49x"y" 17 ,7,17 | 49x' y"…

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Q: |16-3b|=22

A: Given, an equation |16-3b|=22.

Q: b2 over b-a + a2 over a-b

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: (2x + 3) csc²() dx + f 4 tan () dx = 2(2x + 3) cot (#) f(2x + 3) sec² () dx - 4 tan ) dx = 2(2x + 3)…

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Q: y" - y' - 12 y = e^(x/3)-e^(-x/3) A) Find the complementary solution of this homogeneous equation B)…

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Q: r3 Evaluate xp- Vx + V3- x

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Q: Express Ae-Ea/RT2/Ae-Ea/RT2 in the way that the number e only shows up once.

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Q: Add. -6+ 5+ (-4) (-2) || || ☐

A: Steps and explanations are as follows: When we see an expression like -6 + (-4), we can think of it…

Q: Remainder must always be either less than or equal to the divisor. true or false

A: Remainder must be either less than or equal to the divisor . The above statement is true .

Q: let B= [-1 2 7 -3] Find -3B

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Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

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Q: Find the dual of the statement (xy⎯⎯⎯)+(x⎯⎯⎯z)

A: Given statement is xy¯+x¯z Dual of a statement is given by replacing additions with multiplications,…

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: Determine if the statement is True or False. If a statement is false, explain why Ø = {0}

A: The given statement is Ø={0}.The statement comes from set theory.The set is a well-defined…

Q: Find IAI A= 2 3

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Q: State the inverse of the statement, “If there Linah has no ticket then she can leave class.”

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Q: then A-1 A = -6 0 0 0 0 8 0 0 0 0 0 -5 0 0 0 -7

A: Consider the matrix

Q: Evaluate the expresslon when a=7 and x=-3. -a+6x

A: A detailed solution is given below

Q: Then show the classes that you used for display

A: First make frequency table in proper format:  Classes : ( define proper range )  Calculate…

Q: || X₁ x₂ = 0

A: Use matrix multiplication rules