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Q: What are the elements of the Cartesian product U x V? * {v € Z* | 8 < v + 4 < 12}. Define a relation…

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Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

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Q: Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i|…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent series expansion of the function fz…

Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: The function f(x) is graphed on the coordinate grid. 1 The function g(x) is given by g (x) = 1.5* .…

A: The function fx is given in the question. gx is given by gx=1.5x We have to find g2-f2

Q: ad been his friends and fellow Royalists, Sir Charles Lu pom, however, he was one day handed the…

A: Mark the third letter after each punctuation as follows Write the letters…

Q: QUESTION 13 If 4 -5 A= 1 0 then -2i+1 is an eigenvector of A- O True False

A: We need to check whether x=-2i+1-i    is an eigenvector of A=4-510 or not. For any matrix A and a…

Q: then the eigenvalue corresponding to the eigenvector v is

A: We have to find the eigenvalue of that given matrix whose corresponding eigenvector is [1 0 1]

Q: Find the exact arc length of y 3 1 over [1, 2]. 4x -

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Q: Alice and Belle are perfect logicians. Each of them is given a different fraction, of the form ,…

A: If Alice had 11, she would know that she is the winner in her first turn. If Belle had 11 or 12, she…

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1- j2) j 2- j3 5z 1+…

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Q: Non-symmetric matrices with repeated eigen values Find the eigen values and eigen vectors of the…

A: Given :  The given matrix is ;   A = 110010001 To find :  The eigen values and eigen vectors of A.

Q: evaluate z=4^5+3i

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Q: 1. Consider the initial value problem, 3y? 2y y' t 1<t<2, (la) y(1) = 1. (lb) The exact solution to…

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Q: 16. Fishing Quadrilaterals are formed on the side of this fishing tackle box by the adjustable…

A: To explain: Why the shelves of a fishing tackle box are always parallel to each other no matter what…

Q: 6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using…

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Q: 4) z = loge(7 + j)*

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Q: 1. Instructions/Directions: Complete the table below. Write your complete solution on the space…

A: We will use property of logarithmic function  logabc=1blogac log(x) is defined only for x&gt;0 Note:…

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Q: to = Gim En Gim n-sao NOW P C Em) = 1-0 ete-

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Q: 1 X(z) = (1– 2-')(1– z-3)

A: To Solve using partial fraction: X(z)=1(1-z-1)(1-z-2)

Q: Solve x3 - 3x² +12 x +16 =0 Solve by cardan' s method

A: cardan' s method  to remove the x^2 term put y = x-(-l/3)  or x = y-l/3

Q: Evaluate every complex number equations given. 1) z = e(4+j3) In(6230°) 10 2) z = (-¡)(- 3) z =…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: x2 – 2r – 3 c(x) = x2 + 4x – 5 2. Fill the Table: 3. Graph the function:

A: Given that cx=x2-2x-3x2+4x-5  To plot the function and fill the table, we put some arbitrary values…

Q: Let n EZ. Show that f(x)= x³ – nx +2 is irreducible over Q for n+-1,3,5. 72

A: Given: fx=x3-nx+2, n∈ℤ. To show fx is irreducible over ℚ for n≠-1,3,5.

Q: Problem 6. Consider the plane, X, in R given by the vector equation: x(s, t) = (1, –1,2) + s(1,0, 1)…

A: The complete solution is in given below

Q: You manufacture two types of toys: for boys and girls. Each toy goes through 3 processes: grinding,…

A: We will construct a linear programming problem according to the given conditions. Let x and y is the…

Q: Give an example of a function f : A4 → S6 that is not a homomorphism. Justify your answer

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Q: 1. Evaluate the principal value of : - j1) (1+ j1)ª 1 O A. 2.808 + j1.318 O B. 2.808 - j1.318 O C.…

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Q: 5 4 Find a 2x2 matrix A for which A 6 5 3 -6 -2 LA=] A =/ (Type an integer or decimal for each…

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: x³ – x +1

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Q: $6,

A: For maximum revenue tickets price $15

Q: d the surface area of this triangular prism. Be sure to include the correct unit in your answer. cm…

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Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1.

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Q: How many four-letter code words are possible using the letters in XJTLU, if 1) the letters may be…

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Q: 3. For a metric space (X, d), the diameter of a subset A C X is defined by 6(A) := sup d(x, y).…

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Q: . Solve the variational problem [x2 (y +2y (x +y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: Consider a resource allocation (product mix) problem with the follow- ing optimal tableau: X1 X2 X3…

A: We have to find the optimal dual solution from the given table.

Q: 8 A = 3.75 n invertible matrix C and a diagonal matrix D such that A = CDC-1. C = D =

A: We have to find C and D such that A = CDC-1

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: What will be the constant in the Inverse Laplace Transform of ? s(s3-8) 3 O 1/8 O 3/8 O 1/4 O -3/8

A: We have to find the constant part in the inverse Laplace transform.

Q: (a) Suppose that a > and that the parabola with equation y = ax² +2 has vertex V. The parabola…

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Q: G12. Construct the graph for the adjacency matrix: In29)= MatrixForm [matrixExample]…

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Q: Зх — Зу — 6z %3D —3 2х — 2у — 4z %3D 10 2х + Зу + z %3D7 -

A: The equations can be expressed as x - y - 2z + 1 = 0x - y - 2z - 5 = 02x + 3y + z - 7 = 0

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find…

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Q: B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?, 2-x?, 3+x=2x2} 1 2+ X a) Find the a). change of basis matrix…

A: Given that  B={-x+x2,-x2,1-x} and  C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

Q: 2. If a, b, c, d > 0, use the properties of logarithms to simplify and then find the exact numerical…

A: Given: 2 log a+ 2 log ba+log cd-log cb2-10d=0

Q: The solution set of the equation x4-5x3-51x2-95x-42=0 is

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Q: 1 -1 3 -2 1 1 -1 0 a | A = 2 reduced row-echelon form -2 2 -1 R=0 0 1 1 b %3D %3D -1 1 5 -4 0 0 0 C…

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