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Q: Use De Moivre's theorem to find the following: 4 i. [1+ v3i]" -3 ii. [-1+ v3 i]

A: Given that: i. [1+3i]4 ii. [-1+3i]-3

Q: 2. (i) Show that for a discrete dis.ribution B2> 1. (ii) Show that B2> B1

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Q: theorem that proves their similarity. 21. 40 35 45 7. 74

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate | Vtan a sec" zdx. O a. 2 z tani z +tani +C 2 O b. 2 tani æ + tan +C 2 Ос. 2 O c. 2 2 t…

A: To evaluate the integral,  ∫tanxsec4xdx Rewrite the term sec4x=sec2x·sec2x…

Q: Consider the ODE system x' = A et + 3 with A = 4 1 3 a) Use the method of diagonalization to find…

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: В. Let a %3 -в -2 1, Find a value for k so that the dot product of a with = Lk 1 4]is zero.

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Q: Discuss the Singulazities and Poles of fiz) = zéSinz (z-2) (zこいこょうと+ら)(2t (こか) +4

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Q: Find all numbers z such that Az3 + Bz² + Cz = D %3D B = [2 4 21 1 1 1. A = 1 3 1. 1 -2 2 4 21 C li 3…

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Q: 2. Find all number z such that Az" + Bz² + Cz = D a. A= 2

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

Q: Another Reciprocal Property Prove that if 0 < a < b,then 1 <-< -. b a

A: 0&lt;a&lt;b

Q: Type here to search Check 2. %3D D = (-) + *** - ,(-) + ,(+-) + (+-)

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Q: 6. Find the Maclaurin seriés for f(r) = (1-x)-2. %3D

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Q: gorean Theorem. 12m 14m

A: Topic pythagoras Therorem

Q: こ be terms Prove Find o of ů, ů. your resubts . in

A: Consider the given vectors: Here the objective is to find the vector w such that

Q: (b) In(2x2 + у — 23) %3D х

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Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

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Q: Find the d. c. of from definition.

A: Introduction :

Q: (a) Prove that rank (AB) &lt;=rank(B). (b) Give an example in which rank(AB) &lt; rank(B)

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Q: Let the SPline function ConSider Sa)=a;+(x-x;)bi+(k-xi)Ci+ (x-Ki)dite; sin Ck-xi} Then find Sexi)=y;…

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

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Q: ag show that: coth's =ţ he (xal/, X-1

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Q: Find the Avorare valne of Hhe famdtiun en the interal [ 0,4J VI+ 2x

A: Average value of the function on a given interval is 1/(b-a) integration of a given funtion…

Q: Prove that Ix I - I y I ≤ I x - y I.

A: We have to prove that  x-y≤x-y We know, x+y≤x+y Then,  x=x-y+y⇒x=x-y+y≤x-y+y⇒x-y≤x-y

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Q: Prove that da(x) = a(b) a(a), %3D |

A: This is a problem from Reimann Stieltzes Integral

Q: Find all valus of z such that (5 + z)6 = (1+ i)z6

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Q: sor model is pur using re ath and up t

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Q: such that ab = 1 b) : In Z3XU3, Find the order of (1, 2). Show your work.

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Q: elements. Why is Dg not isomorphic to Z/8Z?

A: D8 is not isomorphic to Z/8Z because D8 is not a cyclic group but Z/8Z is cyclic. For Cayley table,…

Q: Find the rank and nullity of the 2. 4 9. A z -7 2. -5 4 L7 -9 2 -4 verify the that dimension…

A: The given matrix is  A=20464-7201-5247-92-4 According to dimension theorem for any matrix A of size…

Q: atation for f(r) = In(5- a) and %3D

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Q: O Find... f+g3= %3D %3D %3D fig=

A: Given,          fx=5x-1 , gx=x+5

Q: z? f(2) = 1-z* 4

A: We use the fact that the 1/(1-z)= 1+z+z2+z3+z4+......

Q: Prove using partitions that Explain this result geometrically. ·b cb+c [ f(x) dx - [bte f(x = a+c…

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Q: Find the general Salation tor the

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Q: find the root of the fnmetion ーX FCx)= ē^ _ x which lies betwen (o %3D

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Q: リ この Shmo that e す。 are soluting of I

A: Note: Here, we will consider the differential equation y'''-6y''+11y'-6y=0....(1) instead of…

Q: exemple of a lineer Trans formetion I v-> V Give en thet is one to one not incertible.

A: We have to solve given problem:

Q: Determine the quadature rule of the form | f(r) dr = Aof(ro) + A1f(£1) + - *·+ Anf(Tn) a. when the…

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Q: Use Green's Theorem to evaluate F dr, where F(2, y) = (9xy, y" - 8) and C is the rectangle with…

A: That's easy. Have a great day!!!

Q: %3D Show that for all 2, a, BE C, A(a + B) = àa + A8 fiold ofE the

A: (2) We have to show that for all λ,α,β∈C, λα+β=λα+λβ Let λ=a1+ib1, α=a2+ib2, β=a3+ib3…

Q: positive and r ility of obtaini=

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Q: Compute the value of f.dr If F= -yi+xj and c is a from (-1,1Y to CI,1) %3D SemICirele

A: Proceed as shown below

Q: A. Compute for Coefficient of r Let x ΣΥ Ξ [x² = Y n= [x = [xy = £y = r= Analysis & Interpretation…

A: Solution-: Let, X=Weight (lbs) and Y=Chest size (cm) We have following data: X Y 5.64 29.5…

Q: A complwx number z is a number of the form z=x+iy, x,yER

A: Both the statements are TRUE

Q: Use Gramer's Rule to Find K,y and Z -y-22 = -8 %3D + 32 = 2 %3D 7X +y+Z = 0

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Prove using soundness (Required): (∀x)A → (∀x)B ⊬ (∀x)(A → B).

A: The proof is shown below.

Q: What is thie generalized union and interdection of %3D where 1-10,1)

A: As given,  λ is the index set for A.  Hence, there are two sets possible,  Aλ=0  =  [ -(1/0) ,  0]…