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Q: 10. dr S f(æ) dx = Choose...

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Q: 2|x~ Bin (wa) X~ TI (Q) = -IN 0 QE [011] you should Find posteria 8201 other wise

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Q: O s/Vn 12

A: The standard error is denoted by SE

Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: 5. Find the on the interval [0, 4]

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Q: 2 Evaluate: :S,vte-t² dt.

A: Detailed explanation mentioned below

Q: |(7) In general, SUT S (SUT)', but (SU T)' S°UT. Pra

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Q: 7. Evaluate. LL sin z da dy.

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Q: Express In V16 in terms of In 2 and/or In In 16 =[ (Type an exact answer.)

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Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: 7. Show for y = u.v that y"= uv"' + 3u' v'" + 3u" v' + u''' v.

A: The detailed solution is as follows below:

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: /9 – 2° dz Integrate: z4

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Q: OProve that (r=s)Er S is toutology?

A: The objective is to prove that r≡S≡r↔S is a tautology.

Q: For this problem, assume the box contains 6 red balls, 7 blue balls, and 5 white balls, and that we…

A: Given that  box contains 6 red balls, 7 blue balls, and 5 white balls. Total number of balls is…

Q: Suppose that x̅ = 12, Sx = 2, and z is 1. what is X?

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Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

Q: 1 Evaluate [ (x² + --- e2x +c 2 a) + In x+ b) 3 +C 3 e2x .3 c) + In x- d) + In x - 3 +c +c 2 2

A: We know  (1) integration of Xn dx =  Xn+1 / (n+1)  + C  (2) integration of emx dx = emx / m + C  (3)…

Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

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Q: Let X and Y be independent and distributed as N(u, 1). Is T = X-Y sufficient?

A: According to factorization theorem, If the likelihood function L(x,θ) can be expressed in the form…

Q: find x, y from [2 x + y 2 x - ] 3 3 3 O x=-9/2, y=-3/2 O x=3/5, y=2/3 none Q x=9/2,y=-3/2

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: ove that 1 cosh(tanh) = -1 -1 < r < 1. V1- 2

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Q: dz ニ Z – 2j K K : z |= 1

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Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

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Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: Let X and Y be independent and distributed as N(mu, 1). Is T=X-Y sufficient?

A: According to factorization theorem, if the likelihood function Lx,θ can be expressed in the form.…

Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: 2. Integrate: S w5 V7+ w3 dw 3. Find S (6-+ - sV) de

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Q: Show for Re(z) > 1 ex – 1 dr = T(z)5(2). et – 1

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Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

A: The objective is to find the partial derivatives .

Q: Compute 1. % 1+ vår + g2 dr, lal 2 1+ " 2. 1+ V2r-

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Q: S F(s) %3D (s+5)6

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Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: (x) = 3x +12x+2, %3D ues of a, b and c such that

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Q: 24. Find the Fowrier r fas - -IN X

A: Hv

Q: Q2-Prove tut- va" - r* ify =()()+ ()F-7 if y =

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Q: What would be your decision based on your p-value Reject Ho since the p-value > 0.1 Reject Ho since…

A: Sample proportion =98/245  p = 0.4   The test statistic is given by   p-value = 0.0504

Q: dz 12. Evaluate 9z² – 25 A. In(32 + V9z* – 25 c. In(3z-V9z* – 25) + C В. In( 3z + /9z² – 25 ) + C D.…

A: To find: ∫dz9z2-25

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: -64- Eke n Calcul afe th udlue of Z.Z ?

A: according to company rule we answer only first question and rest can be reposted.

Q: S (sec5x – tan5x)sec5xdx - Select one: O a. (tan5x - sec5x) + C O b. (tan5x – sec5x) + C O c.…

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Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

Q: 10- If f(u, v, w) is differentiable and u = x - y, v = y - z, and w = z - x, show that fe fe fe = 0.…

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Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

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Q: (2) Find the value of ß (,-)

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Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: 2 4-x2 x2 +4 1 2x

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Q: d'y on of x

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Q: 2. In AXYZ, PQ || XY . If XZ = 15, YZ = 12, and ZQ = 8, what is ZP? 2.

A: Use concept of similarity. In similar triangle, ratio of corresponding side are equal.