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

Q: %3D 2. Prove that -24y of 3. =2x

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

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Q: Grplain why Ž diverges, 27 41 even though has a finite liniit 2 t 2

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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: a b (6) Identify all of the nonempty submatrices of A = с d

A: Given that:Matrix A = abcd

Q: 5. Prove OR disprove that Z/2ZOZ/3Z is isomorphic to Z/6Z

A: To prove or disprove that  Recall that , Now to prove or disprove that  These elements of these…

Q: The conjugate z of z=x+iy is z=x-iy

A: 4) Conjugate of a complex number: The complex conjugate is obtained by changing the sign of the…

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: I show that A= Hermitian

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

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

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Q: a+ib a) If x+ iy = prove that x? + y² = 1. a-ib

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Q: Find -6xyd A over the D triangular region D with vertices (0,0) (2,0), (0, 4)

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Q: 2) Prove that the foll owing func tion is not differen tiable at (0,0). 2. 2. f(x.y) = (X.y) = (0,0)…

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Q: Q1. Verify Euler's theorem for the homogeneous funetion, fxy.2)-axy +byz + czu

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Q: 5. What is UF, where F = Ø? Prove the correctness of your %3D | computation. answer

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Q: Find all positive integers x, y, z satisfying x · y · z² = 5xyz. '*

A: Introduction :Given , positive integers x,y,zwe have asked to find the values of x,y,z which…

Q: The number of reducible monic polynomials of degree 2 over Zz is

A: The number of reducible monic polynomials of degree 2 over Z3 is

Q: 요2s A) for F- 2K1-3y3+ K %3D prove That divc curl È)=0

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Q: Find all the orginal funchians of the funckion fryl=2y (y-s)²

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Q: I + x

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Q: Show why the product {[x1, x2], [yı, y2]} = xıy2 does not satisfy the conditions for an inner…

A: See the detailed solution below.

Q: hat subring R[x², x°] not isomorphic to R[x].

A:

Q: Suppose X has n elements and Y has m elements. How many bijections X → Y are there?

A: To find: The number of bijections X → Y are there. Given information: X has n elements and Y has m…

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

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Q: Find a mat rix P such that 30 P%= 1 2 30 0 2 1 0 OAP = %3D 3 -1] 1 0 OB P -3 1 -1 0 OcP = %3D 1 0…

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Q: conjecture Q.4 a). Prove that S3×Z2 is isomorphic to. D. Can you make a about D,,? Prove your…

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

Q: FIR R whose by (1,213) qnd (4,5,6) a) Find Iinear mapping Image is generated

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the bounded อน əx solution of อน 2 + U if U(x, 0) = 6e-3x. at

A: We have ∂u∂x=2∂u∂t+u  The initial condition is ux,0=6e-3x Now, ∂u∂x=2∂u∂t+u can be written as…

Q: Showthat S subring of RIKRZ+R3

A: For the solution of the problem follow the next step.

Q: 3. 2. If A is 2x2 matri x aud Á = A, but %3D A+ A. show that A= 0

A: The solution is :

Q: Find the maximum modulus of the function f(z) = -iz + i, |z| < 5.

A: Find the maximum modulus of the functionfz=-iz+iz≤5

Q: 3. * Find f -6xydA over the triangular region D with vertices (0,0) (2,0), (0, 4) -16 -8 -68 16 68 8

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Q: 1: Find Z by convolution theorem. (z- 2)

A: convolution theorem

Q: Dimension of ker A is Rank of A is

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Q: 17. Use Theorem 4.7 to prove that Vx + 3 2 V3 + x/4 for

A: Let,

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

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

Q: Find the Zero and its order for the funcation fcz) = 1 -Pit z te.

A: We know that, f(z) = (z-z0)n has zero of order n at z=z0, if f(z0)= 0

Q: Let X~ Binomlal (n, P) Find ECx3) by Central moments.

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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: Find the cemplex fourth routs of Z: 2 J3-22

A: Given, z= 2√3-2i Therefore, r= √[(2√3)²+(2)²] r= √(12+4) r= 4 θ= tan-1(-2/2√3) θ= -30°

Q: 9) suppose that horx)=1, f,(x)=x ond dz(X) Prove that Ba(f, - where Ba is a Bernyterh Polymomial.

A: Given functions are f0(x)=1, f1(x)=x and f2(x)=x2 Since Bernstein polynomial is…

Q: Given two polynomials in from of x^3+x^2+x+c =0 x^3+x^2+x+c =0

A: Given: To find their intersection using matrices. Given two polynomials in from of…

Q: Determine wheter f and are înverses (43) F(x)= XHb gle) =

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Q: Use the generating function to prove that J,(x + y) = J,(x) J-,). %3D n=- 00

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Q: Find leng th of the Cardioid Vsa6 from e -oto0 - 1 %3D

A: Use the formula of the length of the polar curve. L=∫0πr2+drdθ2dθ Here, r=aθ3 and drdθ=ddθ(aθ3)=3aθ2…

Q: • Find all unital subring(s) of Z60-

A: The subrings of Z60 are the rings generated by &lt;d&gt; where d is a divisor of 60.

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

A: Both the statements are TRUE

Q: Find the field of quotients of integeral domain z[i] and z[√2]

A: We will solve this question using basics of ring theory and just the definition of Fields and…

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]…

Q: Find a bijection between the interval (−1, 1) and R.

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.