4. Show that a sublinear functional p satisfies p(0) = 0 and p(-x) ≥-p(x).

Q: Solve the following system of nonlinear equations 2x₁x₂20 x₁² - 4x₂ - 4 = 0 Using the fixed-point…

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Q: 10) Which of the following statements is false? a) fR is reflexive, then RnRep b) ROR' p R is…

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Q: y" + y = tanx

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Q: | Example 10.34. Solve the equation y" = x +y with the boundary conditions y(0) = y(1) = 0.

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Q: g(x) x-0 /(x) Evaluate lim . . . " . . .. . * . . . . . . 4 . . . * * + + * . . . . * . . . . f(x)…

A: Solution : To find, limx→0g(x)f(x) Given,  From graph , f(x) is a straight line passing through…

Q: The difference equation given Ayt = ayt-B can be written as

A: This is the question of generating function, difference equation, counting and finite math.

Q: Example 8.25. Evaluate x + 2x + 1 Jo 1+ (x + 1)². dx by Gaussian 3-point formula.

A: Gaussian 3-point formula. variable change x=a+b2+b−a2v if ∫abg(x) dx=b-a2∫-11g(a+b2+b-a2v)…

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: Evaluate the following linear system using Cramer's Rule: a. x-3y +3z=-4 2x+3y-z=15 4x-3y-z=19

A: The given system of linear equations…

Q: 2. Let AM₁ (R) be given. (a) If AA=0, prove that A-0₁. Does this hold if A € M₁(C)? (b) Suppose that…

A: This is the problem of Linear Algebra and Linear Transformation.

Q: Example 8.10. Evaluate Sº (ii) Simpson's 1/3 rule, (iii) Simpson's 3/8 rule, dx Jo. 1 + x² by using…

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Q: 3. Write the following triple integral !!! = x+y dA R in iterated form where S is the region bounded…

A: Let us consider a triple integral ∫S∫∫f(x,y,z)dxdydz To solve the triple integral  Integrate with…

Q: Give an example of a differentiable function g: R→ R such that f is strictly increasing on R but g'…

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Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x. Determine the area of region…

A: Note: As per the guidelines we are supposed to answer only 3 subparts question. For the remaining…

Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: 2y"-3y"- 3y + 2y = (e*+ex)²

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Q: (i) Sketch the graph of y = cos x for 0° ≤ x ≤ 360°. On the same axes, sketch the graph of y = cos…

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Q: Let V be the vector space of all square sub-matrix over R. Examine whether or not W = (A: A E V, A²…

A: Let V be the vector space of all square sub-matrix over ℝ. Let , W = A / A∈V , A2 = A We need to…

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

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Q: 1. One period of a function is shown. Draw two more periods, indicate on the graph 2p and give the…

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Q: Consider the following game and the direct correlation device. Show that the device is a correlated…

A: Solution:As we can see that A1  is the best response to P1's arrangement, though P2 is best response…

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

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

Q: 4. Given these data X 1 2 3 5 f(x) 3 19 99 Calculate f(4) using Lagrange polynomials of order 3. 7…

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Q: Let K be a field extension of a field F and let alpha in K. where a neo and a is algebric over F.…

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Q: A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j…

A: The work done by a force field is equal to the dot product of the force field and the displacement…

Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

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Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

Q: 10 0 01 det D = 64 2 4 15 5 21 03 01 det E-46 60 7 5 21

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Q: 2) Two friends are offered similar jobs at partner companies in Atlanta. One friend, a woman, is…

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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…

Q: M O 82 63 R

A: Given figure as, Here, MQ and NR are diameters and the indicated measure as arc PQ=?

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

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Q: The universal relation A x A on A is an equivalence relation anti-symmetric a partial ordering…

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Q: A trip in a vehicle covers 80k and takes one hour. Explain why it is guaranteed that the vehicle was…

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Q: (1.) Sketch the solid S of integration of the given integral Q. Label its boundaries. a.) Refer to…

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Q: IfF is a field of charact f(x) = x²*

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Q: - - * x - م - و : (of : (x) } cu

A: This is a question from the series and sequence.

Q: Solve the following system of nonlinear equations 2x₁x₂2=0 x₁² - 4x₂ -4 = 0 Using the fixed-point…

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Q: Example 10.5. Employ Taylor's method to obtain approximate value of y at x = 0.2 fc the differential…

A: Problem can be solved using taylor's method.

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: - - 2y = 0, y(0) = a. Let I = (-1,1). Which statement below is NOT true? Consider the equation a (A)…

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Q: Consider the equation d - 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? -…

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Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

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Q: x100 why lim- X-400100

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Q: Write the general equations for the following: a. Laplace Transform b. Fourier Transform

A: The Laplace and Fourier transformation are two important integral transformations with kernel one.…

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

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Q: Determine the convolution of the following signals using z-transform: 1,(0)-(-)-(4-1). 20)-[1-()*1.0…

A: As per the question we are given two discrete signals x1(n) , x2(n) And we have to find their…

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Given   Liquid density=9000 N/m3. Equilateral triangle with side 2m. Consider a equilateral triangle…

Q: Example 10.2. Find the value of y for x = 0.1 by Picard's method, given dy y-x dx (P.T. y + x³y(0) =…

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Q: ²u Example 11.7. Solve by relaxation method, the Laplace equation d²u the square bounded by the…

A: Here we need to use the relaxation method to solve the given problem. Please find step by step…