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Q: 1 リ=ス,メ=0; Xe2, y=or abt. A the x- Axls

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Q: Find if y dy et 2а?+3я — 2 -

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Q: Show that the Vingof CamPlex humbers Cf+so) Can be imbealaling inaring of 2x2 matvices (Mzns

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Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 5x3y - 6xy2

A: The expressions fxx and fyy denote partial derivatives of f with respect to x and y, respectively.…

Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

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Q: "he pmf of X is 4.x – 1 - fx(x) = where x = 1, 2, 3 %3D %3D to

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Q: .3 , Ry* In y dy

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Q: O express. tx) as ompositionm f Turee fandions

A: Given data: The given function is t(x)=(1+sin(x3))2. The given function can be written as,…

Q: Find the Fourir for fcae) = (1+x) [-x, ] %3D

A: Given function is fx=1+x and −π,π We have to find the Fourier series of fx. The Fourier series of fx…

Q: Let S = {2x,1 – x, x² + x – 1,x + 1}. Then %3D

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Q: (а) Show that Ах (В x C) 3D (А:С)В — (А: В)С

A: As per bartleby guideline for more than one question asked  only first is to be answered please…

Q: A = Acosx + Bsinx + 1 and B = -Asinx + Bcosx Then, what is the A, B ?

A: The detailed solution is given below  Thank you

Q: flt) = Ualt) U, It) (t -3)2 + o uslt) sinzlt-s)

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Q: ies of z and x

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Q: of Then x y

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Q: If xly then gcd(x,y) = y. إختر واحدا:

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Q: Compute Cov(X,Y)

A: Solution: From the given information, the joint distribution is

Q: 2. Show that div r = 3 %3D

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Q: re 1 da Ji rVI- (In x)²

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Q: Let X,X2, ,X, be a ranc *(X), = 0*(1– 0)1-x; %3D

A: from above distribution is binomial  f(x)θ=θx(1-θ)1-x  ;0<x<1 E(x)= nθvar(x)=nθ(1-θ)…

Q: GL (3,2,), the iilan of the mverse 63 is:

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Q: o Evaluate , S, Só (x – 2y + 2z)dz dydx.

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 4x2e2y

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Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: 2. If u = x + y + z' - 3xyz, find the value of x- +y+z

A: To find the partial derivative of the given function u(x,y,z)

Q: Prove that dl = (Vu) x (Vv) - do.

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Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: In ATUV, VT UV and mZU = 32°. Find mZT. %3D

A: Given Data: The triangle is △TUV. The congruent sides are: VT¯≅UV¯ The measure of angle U is:…

Q: According to boolean algebra x.(1 + y) =?

A: We will use the following 3 rules : (i) Distributive law : a•(b+c) = a•b + a•c  (ii) Identity law :…

Q: Prove that • I %3D

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Q: Let æ² + y² + z² = 3xyz, th = 3ryz, th

A: Given that, x2 + y2 + z2 = 3xyz We have to find (del z)/(del x).

Q: Find дхду of z = In(x² – y)

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Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).

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Q: Let Evaluate z dv.

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Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

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

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Q: in tions Practice - Add Su 3. 3D 5.

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Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: chere F(r, y, z) =

A: Stokes theorem

Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: noger whare : y's Fl7. ) Homogencus writter us Example 2: y'- 3yay %3D

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Q: mTQ mOR U 44 mTS T. 25 S. MSOR MRQT %3D

A: Topic:- geometry

Q: Determine whether (x-y)|(x-y"), Vn Z+ and x, y € Z, x #y.

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

Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

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Q: prove with a table if x → y then xor y xor y = y

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 1. аєL; VxeL xb,ха,bx€L 5. ає L; VxєL xb,ах,bx€L 5. ає L; Wx€L xb,xbaєL

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Q: s convex.

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Q: Prove: |I| = 1. %3D

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