Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

Q: Find the 4-point discrete Fourier transform (DFT) of the sequence x(n) = {1, 5, 3, 1}.

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Q: Let F be a field and let f(x) be an irreducible polynomial in F[x]. Then f (x) has a multiple root…

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Q: O (-2)² (-3)4 123 +123 O 418 O216 x 215 O 317 x 417 O 1217 +1217 Submit

A: An expression is a factor 1217 if it is a multiple of 1217. Lets check each answers individually

Q: x√1+x² dx

A: Follow the python script.

Q: The real part of csch (2-j3) is O -0.5118 O none of the other choices O -3.5906 O 9.8844 O 1.0357 O…

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Q: Compute the first-order central difference approximations ofO(h^4) of the function of y at x = 1h =…

A: As per the question we are given the following function : y = ex + x And we have to find y'(x) for…

Q: The Cantilever truss in figure below is hinged at D and E. Find the force in each member. 1000 lb B.…

A: Solution :-

Q: Question 2: Find the inverse Laplace transform of 10 a) F(s) == s(s+2)(5+3)² s² b) F(s) = 2 s² +4s+5…

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Q: Arithmetic between 30 and 75

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Q: Let F be a field, and let f(x) be a nonzero polynomial in F [x]. Then splitting field of f(x) is an…

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Q: Use Fermat's Little Theorem to compute 51990 mod 7.

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Q: 1) Identify whether the given set is a well-defined or not. a. Factors of 50 b. Even number c. Happy…

A: Set: A well-defined collection of objects or elements is called a set. We can represent a set in…

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Q: Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages decimals…

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Q: Prove that: (A+B)•(B+C)x(C+A) =2A•BxC

A: Let A, B, C are 3 vectors. Then it can be written that: A×B+C=A×B+A×CA×A=0A·A×B=0B·A×B=0A·B×C=A×B·C

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)²=2y the…

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Q: If H₁ and H₂ be two subgroups of group (G,*), and if H₂ is normal in (G,*) then H₂H₂ is normal in…

A: When a non-empty subset of a group follows all the group axioms under the same binary operation, the…

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)²=2y, the…

A: Find the slope of the tangent to the curve x2+y2=25 at (3,4). 2x+2ydydx3,4=0dydx3,4=-xydydx3,4=-34

Q: Craig, Daniel and Edward shared an amount of money. Craig took 1/3 of the total amount of money.…

A: Let x be some number  1n of the number means 1n x Twice of the number is 2x

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

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Q: Part A: “Infeasibility means that no solution to the LPP satisfies all the constraints, including…

A: Infeasibility exists when the given LPP has no solution. This means there is no value that satisfies…

Q: Use separation of variables to find a product solution to the following: д н ди -u=1.k>0 дх2 дг

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Q: Consider the division of two polynomials: f(x)=(x-c). The result of the synthetic division process…

A: Part (a) We have the coefficients of the dividend are 1  -2   -13   -1  -48 So, the dividend is:…

Q: When A has full rank, the pseudo-inver en m≥n, and as A+ = AT (AAT)-¹ when n A = I, so A+ is a left…

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Q: The simultaneous linear equations 2y + (m − 1) x = 2 and my + 3x = k have infinitely many solutions…

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Q: Construct an angle XYZ of 105° with YX = 93 mm and YZ = 70 mm. Measure the length of XZ.

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Q: . Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) +bx+cy +…

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Q: Example 10.16. Using Runge-Kutta method of fourth order, solve y(0) = 1 at x = 0.2, 0.4. y² + x²…

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Q: 1. Let 1, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

Q: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A= {2, 3, 5, 8} B = {1, 3, 5, 7, 9} C = {3, 5} D is a set containing…

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Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: Example 10.37. The deflection of a beam is governed by the equation day +81y = o(x), where (x) is…

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Q: Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11…

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Q: 5. Solve the DE dy d²y xdx² dx - 4x = 0, 1<x<2 with y(1) = y(2) = 0. a) Using weak form and Galerkin…

A: Let us start solving the problem step by step    For the given DE we will start solving by the…

Q: Let K be an extension of a field F and let f(x) € F[x] be a polynomial of degree n≥2. Then a€K is a…

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Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle.

A: We have to solve given problems:

Q: B: 3:Use Gamma & Beta properties to evaluate : f (In x) 3 dx

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Q: The simultaneous linear equations mx + 7y= 12 and 7x+my = m have a unique solution only for A. m = 7…

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Q: s+10 (s²-s-2) B:1: Solve 1. L{t²cosat} 2.L-¹ { {}

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Q: Question 12 Calculate the area of the smaller region (to the left of the parabola) bounded by…

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Q: Which is Larger? 2015/2015! OR 2016/2016!

A: We need to identify , which of the following number is larger. 2015 !2015    or  2016 !2016 This can…

Q: | Example 10.30. Using Runge-Kutta method, solve y" = xy2-y² for x = 0.2 correct to 4 decimal…

A: As per the question we are given the following second order differential equation : y'' = xy'2 - y2…

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

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Q: A = {]-[²]} and A'= "={[_¹₁]-[i]}. If B=[32] is the matrix representation of linear operator Z: R² →…

A: We have to find the transition matrix and matrix representation of linear operator w.r.t. basis.

Q: The following is a list of P/E ratios (current stock price divided by company's earnings per share)…

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Q: Let X and Y be two topological spaces. X is connected and Y is disconnected are they homotopy…

A: Homotopy equivalence  Two topological spaces X and Y are said to be Homotopy equivalent if there…

Q: | Example 8.12. Use the Trapezoidal rule to estimate the integral exª dx taking the number 10…

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Q: numbers, then show that Q(√2, √3)= Q(√2+√3)

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Q: Refer to image.

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