If arg (z) < 0, then arg (-z) – arg * (z) equal to

Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: Sin (n+))x Conv. unif nナノ on Prablem (5) Is the senies

A: The given series is: ∑n=1∞sinn+1xn+1 The given interval is: 0,π

Q: if x~unif. (0,2),find the U.b. of p(lx - mul>= 2)

A: Given X~Unif(0,2) Result: if X~unif(a,b) then  Mean=(a+b)/2 Variance=(b-a)2/12

Q: In GF(2), find the inverse of x^3+x+1 modulo x^5+ +x^2+1. Show your complete sölution Oax^3+x…

A: For some finite field  F and fx ,gx∈Fx s.t gx≠0 On applying successive division algorithm:…

Q: a=t). CTaylon Serie) 2-X Ln +x) (MacLurinSeries

A: We need to find the Taylor series of f(x)=12-x at a=1. Taylor series of function fx at a is defined…

Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

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Q: x2+1 =0 Has soluion in R

A: Solution:

Q: sion By A knawn x²-5x_x+5 ーちメメ -X cr ar

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Q: of x so that the greatest possible amount of light is admitted.

A: Given, A Norman window shape of rectangle surmounted by a semicircle. Perimeter of the window is…

Q: ZA is complementary to ZB and ZB is 8. Suppose

A: If two angles are complementary then they makes to 90°. If two angles are supplementary then they…

Q: (3) Let X = n(µ,4) and Var(2x) = E(4-7x) find u.

A: Given,X~n(μ , 4)

Q: If u = f(x), then ſ dx x++2x²+1 k + C for some constant k . Compute kf(1). x2+1

A: We have to find kf(1) Given that: u=f(x),∫xx4+2x2+1dx=kx2+1+C  for some constant k

Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: (3) Let X n(µ,4) and Var(2x)= E(5-8x) find u.

A: Given that X follows normal distribution with mean mu and Variance 4 E(X)= mu Var(X)= 4 Given that,…

Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

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Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: x is even and v is any integer, then their produc

A: If x is even then x=2m where m is any integer y is any integer,  Case I Let y be even y=2n where n…

Q: z = ecos(2x)

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Q: Express y as a fiunetion af k if y - 2r+5, 1- V3t -1, and t- 3k - 5.

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Q: Find all values of n such that y = xn satisfies x2y" - 12y = 0

A: To solve the equation x2y''-12y=0, we first need to find y''. y'' can be obtained by differentiating…

Q: Let f(2)=³ and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of Ac…

A: Given that             fz=z4-5z2      and    C=z∈ℂ : z=1.

Q: The numerical value of | In (x) dr is equal to .......

A: Solve the following

Q: Find extreme value(s) of z = 2x¡ + x,xX2 + 4x3 + x,x2 + x} + 2

A: Consider the provided question, According to you we need to solve only part (d). (d)

Q: 2. Find y' (a) by applying the Product Rule (b) by multiplying the factors to produce a sum of sim…

A: In this question, the concept of derivatives is applied. Derivatives We can use a derivative to…

Q: If f:(0,∞)→Rf:(0,∞)→R is defined by f(x)=xln(2x)f(x)=xln⁡(2x) for every x∈(0,∞),x∈(0,∞),  then…

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Q: Find the general solution to the Bernoulli-type ODE x²y' + 2xy = y°, for x > 0.

A: Bernoulli's equation is a special type of first-order linear ordinary differential equation. When…

Q: s at x =-1 and x = 2

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Q: Suppose we observe X1, X2, ..., X U (0, 1). Show that nX(1) 4 Exp(1). с.

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Q: If C is the constant of integation, and g(0) =1 the C=___ and g(-2) = ____

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Q: The characteristic of Z3[x] is 6. a) True b) False

A: Determine whether the given statement is true or false.

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: two variables are independent, each with the pmf given in the accompanying table (so X,

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Q: 2 In x 1 e* 2 1 In 2x -1

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Q: Find a positive number x such that the sum of 36x and is as small as possible.

A: We will use basic knowledge of functions, differentiation, and the second term extrema test /…

Q: The fourth term in the expansion (2r + y)' is

A: The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued…

Q: 1. If the pdf is 2*-2e8x-4x² , 0 < x < 1 Find K K

A: The pdf is given as: f(x) = 2x - 2K e8x-4x2 ,0&lt;x&lt;1

Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: The characteristic of Zs[x]/ is 6. 3 O None of the choices

A: The characteristics of the function

Q: x = y + Z y² = 0.000396707 - 0.24576 x2 z* = 0.00029753 – 0.12288 x²

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Q: Q2) let A = [ 1 find e4t using Gauss-Jordan method.

A: First we will find the eigenvalues and corresponding even vectors of the matrix by Gauss-jordan…

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x&lt;0

Q: Suppose / (s) - (÷)*" valuate: Js(x) dr +C 3- In (5)

A: Given      f(x) = 1512-3x

Q: Find the general solution of the given ODE * 3x+2y

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Q: of 3 ty ?

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Q: find the general for al soluh'an 3yC3) (e)

A: The given differential equation, y(4)+3y(3)+3y(2)+y'=0

Q: Prove that (A')' = A for each A E Mmxn(F).

A: