Let X, and X, independence r.v. have same moment generating functi (1-) where where tsa, let Y=aX, +bX,, th

Q: Prove dx p > 1 xP diverges, p< 1 1

A: Given the improper integral :

Q: (6. let aiseendn (coreen + cotu) == f(n) + C Of (eseen cot use su asien-cotu) ² f(n) = ? = (cosecn+…

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Q: Prove fulay's formule -CstD)4isin LO)

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Q: tan zeecz coS z

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Q1) Find the canonical form of these question : a) f(x.y,z) =F=x' y' z+x y° z" +x y z b) f(x.y.z)…

A: We are given: f(x,y,z)=F=x'y''z+xy''z''+xyz We are given the standard Form. F=x'y''z+xy''z''+xyz…

Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: The given function is

Q: Show that f(x)= -1/(1+x^2) is pseudoconvex please check also the attached picture

A: Let f:S→ℝ be a differentiable function and S be a non-empty convex set in ℝn, then f is pseudoconvex…

Q: Find the L^-1 iNVERSE LAPLACE J.) F(S) = s+7/s^2-3s-10

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Q: use the Mean value Theorem to establish Isine-siny </2-y) Ve,yER

A: We will prove the inequality as following.

Q: Let Xn ☆ Bil^,p] where n& P ae wnknown. Find method of moments estimators for n&

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Q: yくKく4→ye eaw.

A: It is an important part of statistics. It is widely used.

Q: Many people believe that the average number of Facebook friends is 145. The population standard…

A: GivenMean(x)=149standard deviation(σ)=36.6sample size(n)=46α=0.01

Q: let Po)- tar'c) + tant (L). show that Plx)=C,where cis a constant and then Aind C

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Q: EXaomple (H-W): let X aned Y ae C..vs uith joint. →くKC4 <s O Finol the Value oft- @ Fined…

A: Given: The joint probability density function is:…

Q: Find the denhetive f fue function: In(G at

A: Explained below

Q: Plz give correct solution. Suppose T in L(F^2) and dim E(3, T) = 2. Prove that T is invertible.

A: The transformation is :  The aim is to prove that "T" is invertible.

Q: identity csc*( 6) – cot*(0) = sec (0)csc²(o)| (0) – cot*(0) sec“( 0)csc²(0)|

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Q: Prove inf { ñt nEN}= %3D

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the L^-1 iNVERSE LAPLACE i.) G(S) = 3s-2/2s^2-6s+6

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Q: Find f") if Aa) - (V 1)(x* - 1). %3D O a) -4 O b) 4 c) d) 1

A: Solve the following

Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Simplify (qq) to F 1. Select a law from the right to apply -(q→¬¬q)

A: We have to simplify the logical expression

Q: ase include test statistic and p-valu

A: As the population standard deviation is not known, we will use t distribution. The null and…

Q: Suppose that f'is continubus, f(o)-o and f(5)= e So f'(x) sin?Cf(x) dx 4) Calculate

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Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27…

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Q: Find f') usig the deri vative rules. f@)= 4x2 +2x- 3 +2x -3

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Q: Find V · (V × F), if F(x, y, z) = 6e²*i+ 5xe"j – 2ev³k. %3D -

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