Let Y₁, Y2,..., Yn be random sample whose density is given by fy(y) = aya-1 θα " 0≤ y ≤0 where now both a > 0 and 0 > 0 are unknown. Find sufficient statistics for (a, 0).

Q: 1. (D² – D – 2) y = 30

A: Using auxiliary equation than pi  y=c.f + p.I   General solution

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A: A set of integers represented by symbols ZZNon negative set of integer is Z+

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A: Explanation and solutions is given below....

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A: Please see the below picture for detailed solution.

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Q: x'V4-x dx

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Q: If TR =7X-5, PA=9X+1, and EZ=14, then x=

A: we know that ,  EZ = (TR+PA) /2

Q: Evaluate for: x = -2, y = 4, and z = 16 * J16 - (y +x)? |-2| 6. -14 O 2 18

A: To solve the given expression with  x =- 2, y = 4 And z = 16

Q: 2 {[3].[3]} 2 Copyright Texas State University, 2023. All rights res . Find the change of coordinate…

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Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Equation of position of particle during 5 second is given by s=10-(3-t)2,  0≤t≤5 Initially at t=0…

Q: -olve the hon ogenous dis 9u ation o dy メ2+

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Q: Given y = x3 cotx+ Inx, dx is %3D A. 3x2 cot x-x³csc2x + ln x C. 3x2 cot x-x³csc²x +! B. 3x2 cotx +…

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Q: Solve the Syatem using augmented Mataix M. +3z = 1 %3D 2x 3D3 %3D

A: Given: x+y+3z=1            2x+3y-z=3            5x+7y+z=7To find the solutions: using Guass…

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Q: x3 e2x dx. Integrate

A: ∫12x3e2xdxThis can be done by two steps;Step-1:integrate without limitwe can integrate by parts∫fg'…

Q: Find x, and X2 -14 23 3 1 X2 - 4 X1 X2 = %3D II

A: here we use the simple multiplication of matrices

Q: 2y+8 6. 15y2 Зу+12 3m+9 7. 5m+10 4m+12 4m-8

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Q: Find mZE. E 40/2 20-/6 D

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Q: 4 6. This rectangle of x's is of another (original) rectangle of x's. X X X X X X X X X X X X X X X…

A: The given rectangle is 45 of original rectangle which means 45 of number of X's in the original…

Q: 37. Determine the solution set for the equation (x + 1) + (y – 5)? = 0. %3D

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Q: 1. Solve for x. Find all real solutions. Vx + 10 – 4 = x %3D

A: Given equation:

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A: The sloution is

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A: Given, C311 P47 We have to evaluate them.

Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

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Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

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Q: Solve algebraically forx, and y a. x2+ y2 25 x+y= 1 b. y2-x2 16 3x + 5y 16 %3D

A: