Show that the series f(x) =) Sinx/n Converges uniformly IR n=1 want to show f(x) = sin x/n converges uniformly to o [ n=l n

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A: Clique number is basically the size of the maximum clique which is possible in a graph. A maximum…

Q: 23. Let A be a non-empty set of positive numbers, which is ounded above and let B= {xe R: 1/x e A}.…

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Q: x + y + z = 3 2z = 4 y 3x - y + az = b Determine the value(s) of a and b for which the given system…

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Q: L-1 (s+1) (s²-1)

A: We have to solve given problems;

Q: field extention and letaek statements are following aquileast. d is algebraic over ‡. F(x) has…

A: Given :  F⊆K  be a field extension. And α∈K. To prove :  The following statements are equivalent :…

Q: 30 14 Let A = -70 -33] Find a matrix P, a diagonal matrix D and P-1 such that A = PDP-¹. P = 3 D P-1…

A: This question from topic diagonalizable matrix from linear algebra.

Q: Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1.…

A: We shall use wilsons theorem and euler's theorem to solve this problem. The detailed solution is…

Q: Which can be said correct given the augmented matrix below? [ 1 3 0 | -5 ] [ 0 0 1 | 3 ] This matrix…

A: Given augmented matrix, AD=130001-53 AX=D130001xyz=-53 On solving the given system in variables x,…

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Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x) =

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Q: Use Newton's Divided Difference Formula to interpolate f(1), if the polynomial has given points…

A: The given interpolating points are: (-1,0),(2,1),(3,1),(5,2). To construct: Newton's divided…

Q: 1. Which of the following relations is FALSE. n+m A) (ab)" =a"b" B) C) (a")" 2. The equation of the…

A: To identify the false relation from give question.

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Q: Find the matrix A, so that the following equality is satisfied. 4+ [28]-[83] A -4 1

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Q: Laplace transform THI f(t) = 3 sint cost

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Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: Determine length to. he D as

A: Congruent triangles have equal parts but here since they are not same , considering the triangles…

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Q: (c) Let J be the linear transformation from R² → R² which is a reflection in the horizontal axis…

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Q: Solve the given system using LU- Factorization x₁ + x₂ + x3 = 3 - x₁x₂ + 4x3 = 4 2x₁2x₂ + 8x3 = 0

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Q: Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where…

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Q: The vector F = -ar + 2a expressed in RCS and in terms of is O None of the choices O - = (−cos0sind…

A: We can solve this using spherical co-ordinate matrix

Q: 5. Determine all possible degree sequences for graphs with five vertices containing no isolated…

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Q: 1. A railway truck of mass 300 kg is travelling at a speed of 7 m/s, It collides with a second…

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Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan z-y-z=0 x+2y=z=6 2x -z=5 O z…

A: write the equation in matrix form  1-1-112-120-1xyz=065 It is of the form AX=b where…

Q: Let M be the portion of the cylinder x² + z² = 1, 0 ≤ y ≤ 3, oriented by unit normal N = (x, 0, z).…

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Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, m Enm-n is even. Is this an…

A: This question is from topic relation of real analysis

Q: be a field and let f(x) = F be of degree n > 1. Let K be an extension field of F a

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Q: [² (x − y² + 1) dy dx x² +1 Your answer 2. Sketch the region of integration of the given integral Q…

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Q: Find all analytic functions f such that Ref + Imf = xy.

A: This is a problem of complex analysis.

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A: As per our guidelines, we ar supposed to answer only 3 sub-parts. So, I answered sub-parts A , B and…

Q: Solve The following system using Cramer's Rule x-2y+32=7 2x+y+z=4 -3x+2y-2z = -10

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Q: x-3y + 2z = 18 5x - 15y + 10z = 18 O No solution

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Q: 10. (A is the relation defined on Z as follows: for all x, y = Z, x Ay ⇒x=y (mod 3). Describe the…

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Q: Problem 2: Express in partial fraction form the signals, then compute inverse Laplace transform 3 2…

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Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

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Q: Find the gradient of the function f(x,y) = 10y - 2x at the point (2,9). Then sketch the gradient and…

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Q: Sam is practising free-throws in basketball. She has a 4/5 chance of scoring each time she shoots…

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Q: bet FCK and KCL be field extensions, TA

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Q: 5. Find the general equation of the circle of curvature of the parametric equation t+1 X= ; y=±…

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Q: Subtract. 6√7-9√7

A: Solution :-

Q: Identify whether the following sentences are propositions or not. If it is a proposition, evaluate…

A: We define a proposition to be a sentence that is either true or false, but not both.

Q: Which of the following statements represent EXPONENTIAL functions? Check all that apply. The price…

A: Introduction: An exponential function is a mathematical function that can be used to a variety of…

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: Identify whether the following sentences are propositions or not. If it is a proposition, evaluate…

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