8 جد الجذران التربيعيان ل لعدد 1+ v-3

Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: Evaluate (2z + z – i) dz J|z-il=1

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Q: 3. Prove that sinOtcos=1.

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Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: cosulen Dhe probubily densty functren OTherwise which randen werclde Xfellews Find pobebility Tht

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

A: Given, z=6ex2y3

Q: An electromagnetic wave does require a medium to travel. O True O False

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Q: 1. P+Q, -Q v -P 2. P, (P v Q) v P 3. Pv Q, P --> Q, -Q^ -P 4. -P-->-Q, Q-->P

A: This is a multipart question having more than 1 interrelated subparts. As per company policy, we…

Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: Prove %3D 11

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Q: 74. Show that if 0 < x < y, then Vỹ - Vx < Vy – x.

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Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: is R* is contractible?

A: This is a problem of Topology.

Q: 8. Show that, for u, v E R³, ||u|| ||| = (u - v)² + ||u x v||².

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Q: Q: Prove that tim %3D

A: We have to prove the limit

Q: If x,+iy, =x,+ iy, then x =y, 1

A: Given there are two complex numbers. They are x1+iy1 and x2+iy2. And it is given that x1+iy1=x2+iy2.…

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: If divF (x, y, z) = 0 for all (x, y, z), then curlF (x, y, z) = (0,0,0) for all (x, y, z).

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Q: 6) limSin (0 – ) 3. 2

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Q: Prove that CP PS AM BN 9. MQ NR

A: Consider the equation

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

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: Prove: For allintegers aandb, if a|b then a² |b²

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Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: In Exercises 13–16, find and sketch the level curves ƒ(x, y) = c on the same set of coordinate axes…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Region ¥=1=sino jn 1-st q4adrant enclosed by the eardieid

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Q: и%3D 19, —8] v = [4, –5] 4u + v = | Ex: 5 :

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Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y3…

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

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Q: 4. Evaluate: [ 1 dt. Vt2 –6t+13

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: If Z~N(0,1), calculate Pr(2.73 < Z < 2.87). You can use Excel. Round your answer to three decimal…

A: The required probability is given as P(2.73&lt;Z&lt;2.87)=P(Z&gt;2.73)-P(Z&gt;2.83)…

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: 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: Tofology 2. EX しT X={12/3/4 /5,6 T=Eメ,中っをり,立る, りろ4。 LeT {1,3,4), Topology ? زژه اوم.

A: For the given statement

Q: Rotate AXYZ 90° counterclockwise around Z.

A:

Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: 4. Prove: -| s|x - y| Vx, yER

A: Solve the question number 4 as asked by the user

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −3, −3), v = (3, −3, 3)

A: Given: u=(3, −3, −3), v=(3, −3, 3)

Q: a) Expand Ca-b)Catb) b) Hence, expand ox-y+2)(ctytz)

A: a) Expanding (a - b )(a + b)  (a - b)(a + b) =  a(a+b) - b( a+b)                        =  a.a + a.b…

Q: When u × v = 0 and u ∙ v = 0, what can you conclude about u and v?

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Q: 3 =1 cjs(6, – 0,) - 3. Let z = ;cjs6, and z, = 1,cjs0, , prove that

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Q: Assume x, y, z E R³. and x · y= x · z = y• z = 0. If ||æ|| = 3, ||y|| = 12, ||2|| = 4, what is || –…

A: A correct

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

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Q: a,b,x,y, are negative numbers a⁵ + b⁵<= 1 x⁵ + y⁵ <= 1 prove that a²x³ + b²y³ <= 1

A: Given information: The numbers a,b,x and y are negative numbers. The conditions are a5+b5≤1,…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.