If y In(In e) Find y

Q: 1. Evaluate dydx

A:

Q: Prove that if H has index 2 in G, then H is normal in G.

A:

Q: Date Page 28 uhore Jyln) psthe Bessel's fuction of the first kinf- uf onder Ur

A: To show: The identity, ∫Jv+1xdx=∫Jv-1xdx-2Jvxdx, where Jvx is the Bessel's function of the first…

Q: Grien V=In (xity?) show that dye

A:

Q: If e dy then y-

A: We will evaluate the following Integral.

Q: (In æ)" Find y'. Let y = e" + 2

A: Explanation of the solution is given below...

Q: ies of z and x

A:

Q: let y = In x find y'

A: Consider the function y=lnx Here, the objective is to differentiate the function with respect to x.

Q: xy If z show that: x- y

A:

Q: Consider a random poker hand of 5 cards. Let X be the number of Hearts in this hand, and let Y be…

A: There are  13 hears,  13 diamonds and  26 cards that are neither hearts or diamonds in a deck of 52…

Q: a) y" = In x

A:

Q: If E and E, are measurable , then (E,UE,) is not measurable. ylgn

A: False.

Q: Find ſ In(x) dx

A:

Q: spectra of TT* and T*T are real and cannot

A:

Q: find th e angle between u and v in th e given exercise. u= [1,2, 3, 4],v= [5, 6, 7, 8]

A:

Q: 2, z) = 5 and the surfac e at (1,2,3). Evaluate = reasons).

A:

Q: Let а в %3D Compute e. To be clear, a, B are constants.

A: Given, A=αβ-βα Determine the value of eA.

Q: Find y,(x) if y = In(In(Inx)).

A:

Q: Assuming x E Z. Prove

A: Given, x∈ℤ, To prove that                 2|(x2-6x+5) ⇒2|x

Q: 3. If x1,x2, ... ,x, be a r.s from N(u, 1) ,show that -- is an unbiased estimator for u2 ? 1

A: x1 , x2 , ... , xn are randomly sampled from N(μ,1)

Q: Let X be the outcome from rolling one die and Y be the outcome from rolling a second die. Find E…

A: Taking  X and  Y are two independent events and taking their Probability Mass Function......

Q: No. of years (x) Grade in Test (y) x2 X.V 3 57 9 171 4 78 16 312 72 16 288 2 58 4 16ו 89 25 445 63…

A: The general form of the simple linear equation is, y=a+bx Where 'y' is the dependent variable, 'a'…

Q: Σ (X) E(Y), E(XY ) , Coν ( X, Y) , σχ, σχ and ρxΥ.

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: limf, is measurable 00 ylan ihi

A: GIVEN a statement

Q: Let s in G, s is not equal to 1.

A:

Q: O Deltarentiatk with respect () Singe (X+1) (x-)

A:

Q: Find the value of x in O P. Refer to rule 3 on page 5 of your notes for help. to

A: We have to find the value of angle x in degrees.

Q: Find z when In z = e – nj

A: Complex number

Q: (a) /3yin In (g) dy

A: First remove the constant and then substitute the formula by integrating by parts and then simplify.

Q: If dx = In |x| +C, then d 및 (In |x| + C) = for x> 0. X

A: Given,         Assuming that x>0, use differentiation to justify the formula ∫1xdx=lnx+C.…

Q: If ACX,find A' for(X.I)

A:

Q: Find ſ using residues.

A:

Q: Find the deriratire of y tanx usim the Difinition Rule

A: Given that:y=tanxTo find its derivative.

Q: Let Evaluate z dv.

A:

Q: let z- 5 dy By chain Ruie

A: Given z = √x dy/dx = (1/2√x)•(dy/dz) We have to find d2y/dx2 .

Q: If (a + bx)e = x, prove that x’y, =(xy,-y)

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

Q: B. If f = x²cosy + y²sinx then show that fry = fyx ух

A:

Q: If g(a) = a°(exin²a+eoa²a), then gʻ(a) is: atcos.

A:

Q: Find the general Salation tor the

A:

Q: are defined c chy's mean

A:

Q: 8.Prove the following relationships: a) I(X,Y)=H(X)-HOX/Y)

A: Solution

Q: 15. y = (In x) Inz

A:

Q: Laspeyres' index, (ii) Paasche's index, (iii) Fisher's Ideal index, dex,

A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: (X), E(Y ) EXY), Cov(X, Y) , σχ, σχ and Py.

A:

Q: if y ". y (In z) (a) Find

A:

Q: In x y = (In x)“

A:

Q: 1. Let x (x,) E l. Find x if 11-- a. x = 2 %3D

A: This is a question of functional analysis in lp space.

Q: Find y' if  in xy   = ySinx.

A: Differentiate separately both sides of the equation (treat  y  as a function of  x ):ddxlnxy=ddxy…

Q: (a, b) is measurable. صواب ihi

A: