Q3/A/ Prove that ) + ",) = C). %3D إضافة ملف

Q: 5. Prove that So*(y – 0)dydr =

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Q: Assuming Cov(X, u) = 0 allows us to equate Exû to zero. True or False? Explain.

A: Solution

Q: If --kr, show that d? dr %3D dt

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Q: 5. If u = e1#1+az#2++anIn, where a² + a³ + · ·..+ a = 1, show %3D + = U dx?

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Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: Compote clerivative bao fx)= cot(x), x=0.8 flx)=cot(x, %3D fl0.8) =

A: We use basic inverse trigonometric identity.

Q: 18, then Ku = 3 and µ4 Af U2 %3D %3D Select one: O Platy O symmetric O Lepto O Meso

A: Solution-: Given: We find

Q: 2. If mZMKL = 83°, mZJKL = 127°, and MZJKM = (9x - 10)°, find the value of x. %3D %3D %3D J MA

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

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: Prove thiat dx Ś (areten()) ) = し 4+X

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Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

Q: Let Z, = 2 cis 30° = 3elli %3D Z = In (1 + i) %3D If Z = Z,Z, + Z, Find Z].

A: From the given information. Write the complex numbers Z1, Z2 and Z3.

Q: What is ll = ( as")* %3D X= ()3....) where Kn=2"2 %3D

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Q: use the definition prove that dsinz =

A: Question is solved.

Q: Prove that %3D 3 and hence. deduce that. 3--(n+3)Jn43+ (n+s)Jnes to 2.

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Q: Exercise: 1.Find the interval and radius of conv. of In(1 – x?) ?

A: As per our norms we are allowed to solve one question at a time. Kindly repost the rest question…

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: Anti der ivent ive 2x %3D 37-4

A: Solution

Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan

A: tan-1x+tan-11=2tan-1x-tan-113

Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: Find all the joint moments m, n and k = 0,1,.... "nk

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Q: ove that 1 cosh(tanh) = -1 -1 < r < 1. V1- 2

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Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

Q: et A be 4X4r nas non-brivial . -son-

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Q: Prove using the IVT. ex + In x = 0 has a solution.

A: IVT: If f is continuous on the closed interval [a, b], f(a) ≠ f(b) and k is any number between f(a)…

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: If u= In x, then 1- (In x)2 dx=?

A: Find your answer below

Q: State Green’s Theorem

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Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

A: Since your question contains multipart, we solve only 1,2,3. If you need any particular question…

Q: O Find Valume bounded by %3D

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Q: (4+38)-(9 -J2) Rectangular ?

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Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note:  [ We can say that f is differentiable at (a,b) if f is…

Q: ху • prove that x +y Example If z = az dz + y.- Əx х. ду

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Q: Evaluate the line integral S. 4x²ds, where C is the line segment from (-2, –1) to (0,–1) followed by…

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Q: 7) reflection across y =X (х,у)-(у.х)

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Q: prove that dv v 21/12 الله duz 2 2

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Q: (x) = 3x +12x+2, %3D ues of a, b and c such that

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Q: Let V, 3 V3 = Vz= -3 8. %3D 131 2- -5 does { Vi,UeiVa} span R3?

A: Given vectors, v1 = 06-2 , v2 = 0-38 and v3 = 4-1-5 These vectors will span ℝ3 if they are linearly…

Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

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Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If u In x, then 1-(In x)2 dx =?

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Q: Prove that S. 8 dx √π 2

A: This question is related to integration using gamma function.

Q: ion Prove that for

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Q: pes of animals are treated by at least on r. Scott, and Dr. Baker)?

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Q: Which part (Given or Prove) of the proof depends upon the a) hypothesis of theorem? b) conclusion of…

A: (a) Hypothesis of the theorem :             The hypothesis of the theorem is been used for the…

Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: Prove that 1- cosh -1 x= In(x+ Vx- -1 1 x+1 2- coth -In x-1 X = - Vi+x? .2 1 3- csch -1 x = In(-+

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