Problem 4 Let X be a continuous random variable with PDF (# (2=+) (2z + ) 0 < r <1 fx(x) = otherwise If Y = +3, find Var(Y). %3D

Q: 10. (8x)" W 39xt (21x -12) mWX = mYW = mYX = (10x + 9) MVXW = Gina Won (A Things Aigebra, uC,…

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Q: Differentiate. y = In [(x + 6)* (x + 7)® (x + 3)5] d [In [(x +6)*(x +7)® (x + 3)°]] = ] dx

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Q: Ify (*+)(2x- dy -) (2x – 3), then will be dx

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Q: 11. Sx(3x² + 4) dx

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Q: 16x (x* + 1) 7. dx = (A) 3 (824/3 – 1) 16 - 814/3 (B) (C) 4 (824/3 – 1) 64 814/3 (D) 3 3

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Q: 5. fx³ cosh¯¹(x²) dx

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Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: 40. What is the residual for X1 = 14.620 x2 = 226.00 x3 = 7.000 with y = 128.40? (a) -6.7838 (b)…

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Q: 3) S x tari'x dx X,

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Q: oduct of two numbers is 20 the quotient of the two numbers is 5    what are the two numbers?

A: Let, x and y be the two numbers, the product of two numbers = x*y = 20 the quotient of the two…

Q: If the pdf is e^tx/2a -a < x < a, Find the generating function(express your answer in simplified…

A: Given:

Q: Twenty-eight percent of U.S. employees who are late for work blame oversleeping. You randomly select…

A: Solution: Let X be the number of U.S. employees who are late for work and blame oversleeping. The…

Q: (1) 2x₁ + 3x₂ = 8 x₁ +4x₂ = 9 (Ans. x₁=1, x₂ =2)

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Q: Problem : Find the derivative of the series 32z5 + 4! 2x 4x? 16x4 f(x)=1+ 1! + Also show that 2! 3!…

A: To find the derivative of the series fx=1+2x1!+4x22!+8x33!+16x44!+32x55!+...Also to show that f'x=2…

Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: . How we Can Solne it ? 2. *B" (K+t) Carzz) (a+3) KB (ati) (a+2) %3D

A: Some formulae's: (a+b)2=a2+b2+2ab Power addition: (xayb)(xcyd)=xa+cyb+d

Q: Give examples of the two types of tabulation : simple tabulation and complex tabulation (two way…

A: simple tabulation: let us first understand what is simple tabulation or one way tabulation:  when…

Q: '5 Find | f(x) dx if 3 if x < 3 f(x) %3D if x 2 3.

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Q: 1. S dx x³+2x x2+1

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Q: Problem : Find the derivative of the series 2x 4x2 8x3 16x4 32x5 f(x) =1+ 1! 2! 3! 4! 5! Also show…

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Q: Sx²V1+x dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute…

Q: 4. . Sx5 Vx3 + 1dx

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

Q: Find d da In(x) + 7* e4x³ - e -

A: d dxlnx+7xe4x3-e

Q: d) ( 2x2+10x (x²+1)2 x²+10x

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Q: f(x) = (-3x³ + 4) 7, which of the following is f'(x)? f' (x) = 63x² (-3x° + 4)-8 - f' (x) = 63x(-3x…

A: Topic:- derivatives    Using  Derivatives of x^n = nx^(n-1)

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: If X~ GAM(1,2) then Var(X)= 4 (1

A: We have to solve given problem:

Q: dx (2x-1)3

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Q: If X~BET(1,2) then E(X)= (1 2/B (1/B

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Q: S(2x3 + x)V2x² + 1 dx

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Q: 2) Show that La- (1 – x²)P',(x)P'm(x) dx : 21(1 + 1) Sim. 21 +1

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Q: 4) (y+*2)dx =xdy

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Q: (In x) x Sh 12 - dx

A: ∫lnx12xdx

Q: 4 4 + x2 Find 3 x° + + 4/x ) dx - -

A: Given integral, ∫x3+4x+4x2+4xdx

Q: 2 + 5r +4 h(r) = 3r + 5 3r + 10r + 13 O A. h'(r) =- (3r + 5)2

A: The derivative is computed using quotient rule.

Q: The Mean Value Theorem for problem 3 says that between x=-2 and x=2, there exists a value x=c that…

A: Let, y=f(x) =27-x2Now , f(-2) =27-(-2)2  =27-4=23   and f(2) = 27-22  =  27-4=23   and…