Let A = {0, 1, 2} and let B = {-2, 0, 1, 2}. %3D

Q: Hello, can you help me for this math (complex function)? Find the fixed point , r and angle of f(z) ...

A: For a fixed point z, we have f(z) = z.  => (3 - 4i)z + 2 - 7i = z => (2 - 4i)z = -2 + 7i =>...

Q: Being fa function with continuous second derivatives, defined by: z = f (xy, a² + y*) If we take u =...

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Q: Find bounds on the real zeros of the polynomial function. f(x) = 13x* + 13x 3 -x - 52x - 52 The lowe...

A: Please see the attachment

Q: Find the projections of a regular hexagonal pyramid given by the axis o(M[-40,15,30],N[5,45,45]), th...

A: Edge of base =20 {mm}Axis length =40 {mm}Resting on one of its triangular face on (Ground) HPEdge of...

Q: N A, = U A 1<i<n 1<i<n

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Q: CHOOSE THE IMAGE THAT COMPLETES THE PATTERN DD Select the correct response:

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Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

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Q: Find the row and column ranks of the following matrix 1 3 2 1 2 -5 1 2 0. 1 -2 1 1 -2 2 2- 3 2 1 5 8...

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Q: Provide a direct proof of the statement below. Let a, b, and c be integers. If a|(a+b), then alb.

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Q: . Find the analytic function, whose real part is sin 2x/(cosh 2y- cos 2x).

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Q: X1 + X2 – X3 = –-3 6x1 + 2x2 + 2x3 = 2 -3x, + 4x, + x3 =1 %3D

A: Given system is  x1+x2-x3=-36x1+2x2+2x3=2-3x1+4x2+x3=1 1: Simple Gauss elimination: We can write it ...

Q: Problem (1): Show that there is only one automorphism, the identity function, of Q.

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: Describe the factor group Describe the fa ctor group. (z/(u).)

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Q: Evaluate tne below exprassion using De Moivres meorem-

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Q: Prove that the only idempotent elements in an integral domain R with unity are 0 and 1.

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Q: In a batch of 500 high school students, there are 252 students who own a laptop, 176 students who ow...

A: Here we can use the formula nU = nA+nB-nA∩B+nA∪B' 

Q: Problem (1): Show that there is only one automorphism, the identity function, of Q. Problem (2): Sho...

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

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Q: Using ɛ-d argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

A: Solution:-

Q: Solve the following recurrence: T(n) = 4T(n/2) + n²lgn

A: You need to solve using masters theorem.

Q: 2. (a) Detennine the nullity and rank ef the following matrix: 1 10 0 0 0 1 -2 0 4 20 0 3 -2 1 2 2 0...

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Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomi...

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Q: ze ze ze ) Z=LogX %3D

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Q: 2. What will be the new volume of this prism if a scale factor of 1.5 is applied to the dimensions?

A: Given,         and  Scale factor = 1.5

Q: differential equations. dy 1. - 16y = 0 - dt2 dy 6- dt 2. + 8y = 0 dt2 d'y dt2 3. + 1?y = 0

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Q: The school that Huong goes to is selling tickets to a spring musical. On the first day of ticket sal...

A: Introduction: A system of linear equations is very significant in modelling real-life problems. Cons...

Q: Using Newton- Raphson method, Determine the points of intersection between the circle x +y = 3 and t...

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Q: What is the use of conditional convergence and absolute convergence of an oscillating or alternating...

A: Let ∑n=0∞an be an oscillating series or an alternating series.

Q: Let --)-()-0-0 VA vi 9. where cER. What is the only value of c for which the set {v1, vz, V3, V4} is...

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Q: ar² + 18y², (where is a Let D bea space region that lies under the paraboloid z= positive real numbe...

A: Volume bounded by xy-plane

Q: Let V be a vector space over IF. Let T E L(V). Suppose P E L(V) is invertible. (a) Prove that T and ...

A: Given V be a vector space over F, and T be linear transformation, P be an invertible transformation.

Q: Consider T E L(V). (a) Suppose U is a subspace of V invariant under T. Prove that U is also invarian...

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Q: Solve the given differential equation by hand (showing all steps to the solution) using an appropria...

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Q: Let A = {x | = 12k for some k E Z} Let B = { x | 2 = 4k for some k E Z } 4k for some kEZ} Prove that...

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Q: 4) Show that and are eventually fixed points for the function : 8 4x Osx< 2- 4x sx< f(x) = - 1 4x – ...

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Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

A: Given figure is Here ABCD is the square So AB=BC=CD=DA    (1) and ∆BCE is equilateral triangle, so ...

Q: Express the answer of the following problems in form rciso with and -Tss下 O Z: I+i 1-i3

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Q: Express the following complex number in exponential form: (-1 – 5) 3.1 e2.5i 5.1 e4.5i -5.1 e4.5i 5....

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Q: 3. Solve the following linear programming problem. Maximize: z= 4x + 5y Subject to: x+y<4 x-y2-2 x20...

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Q: Give an example of a linear operator TE L(R*") which is not diagonalizable. Justify your answer.

A: give an example of a linear operator T∈Lℝ3,1 which is not diagonalizable. justify ur answer. it is k...

Q: Write a polar equation in rand e of an ellipse with the focus at the origin, with the eccentricity 0...

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Q: This is one question but I couldn't fit the whole question in one photo so I attached two photos, th...

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Q: f(x, y, z) = z°y?lna fazyzz =? IIY -2z2 O A. 12y2z2 В. 2x2 -12yz O C. x2 y24 O D. x4

A: Partial derivatives

Q: (8) The trace and determinant of positive semidefinite matrices are numbers. nonnegative real

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Q: с. (х — 2у)dx + (у — 2х) dy %3D 0

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Q: Assume u solves the initial value problem Utt - Au = 0 in R" × (0, 0), u = 0, u = h on R" x {t = 0}....

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Q: Prove by simple induction on n that 2" > n

A: We have to prove 2n&gt;n It is true for n=1

Q: Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7  hours to embe...

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Q: 4. Based on the table of values, answer the lim [log(x)]. x→10+ 5. After answering questions 1 to 4,...

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Q: If p(x) is the total value of production when there are x workers in a plant, then the average produ...

A: Given- If px is the total value of production when there are x workers in a plant, then the average ...