4) y = 2. + 2 3. 16 +2 2. 6.

Q: A = [3 +m ,B = [m land C = [" 10" lFind the matrix X, if -2 14 – m 6 1. Let 8 + m -21 Find the…

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Q: y′′′ − 2y′′ − y′ + 2y = e^(−t)sin t by variartion of parameter

A: Given equation  y'''-2 y'' - y' +2y = e^(-t) sin t, say (1)  First we'll find the complementary…

Q: Exercise 5.3.17. Let u ES. Then we have that F²lu](x) = F[û](x) = u(-x).

A: Since u lies in S, the Schwartz Space, we can use the Fourier Inversion formula. where the last…

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Q: Show that y = x is a solution of the differential equation x^2 y” – (2x + x^2 )y’ + (2 + x)y = 0,…

A: The solution is given as

Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

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Q: Use the Babylonian's formula to calculate the area of a circle with diameter of 13 units. (roundoff…

A: To find The area of a circle by using Babylonians formula.

Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

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Q: Find the first fundamental form of surface of revolution?

A: Suppose M is a surface determine by , Xu , v ⊂ E3. Suppose αt is curve on M , where t ∈ a , b. Here…

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Q: A planar connected graph, G, is 2-colorable on its faces if and only if G is an Eulerian graph.…

A: We will use following theorem to answer this question  Theorem (a) : A map G is k-face colourable if…

Q: Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial…

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Q: Solve e = 1 + V3i ƒor all values of z

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: Q7. Solve the Cauchy-Euler equation (i) 4.x²y" + 4.xy' – y = 0. (ii) 4x²y" + y = 0.

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Q: Question 3 Here we consider f(x) = Vx near x = 8. (a) Find T1(x) and T2(x) centered at x = 8. (b)…

A: Taylor Polynomial :- Let a function f is defined at x = a then the Taylor polynomial of f centered…

Q: What is the expansion of 1 f (x) = %3D Ο Σε' Σ 2n 2n Σ Next

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Q: 2. The figure below represents the set X = (R – {0}) U {A, B} where A and B are two points not on…

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Q: Use the De Moivre's Formula Prove: Express tan 40 in terms of tan e.

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Q: 13. y" + 10y' + 25y = e-5t In(3t)

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Q: Find the unit vectors that are perpendicular to U = and V =,

A: Given the vectors U→=2, 3, 4 and  V→=-1, 3, -5 We will find the unit vectors that are perpendicular…

Q: 4. Show that =N} which is subset of R is not compact by describing an open cover for n it that has…

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Q: Find the general (d’Alembert's) solution of the equation of spherical waves 1 d³u 72 p2 dr dr c2 Ət?…

A: the solution of Homogeneous Partial Differential equations with constant coefficients is of the…

Q: 4. Compute the exact value of (-1)"(n+2) xn+1 Ln=0 2n+1 (nt1) 100

A: The geometric series formula is ∑n=0∞rn=11-r, where r<1. Break the numerator of the given…

Q: 8. Let f: E\ {0} E\ (0} be the inversion with respect to the circle S' (of radius I with centre at…

A: let f:E20→E20 be the inversion with respect to the circle S1 let C be the circle of radius 2 with…

Q: Make the truth chart show that the Following Proposition is (all valid> aluways true).…

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

Q: A two dimensional space-time has the metric ds = dv² – vʻdu² . Compute the Ricci tensor Ruv ·

A: Given below clear explanation

Q: Q1: Use two iterations of G-S method to solve the linear system. 10x + y+ z = 15.4 2x + 7y + z =…

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Q: Consider the following function: -- 2, -2 < r <-1 f(x) = {1, 2-z, 1<r$ 2. (1) Sketch the graph of f…

A: Given the function fx=-x-2, -2≤x≤-1x,           -1≤x≤12-x,         1&lt;x≤2. Sketching its graph,…

Q: solve the following ODE y + xy = 6xfy

A: We have y'+xy=6xy This can be written as: 1ydydx+xy=6x               ...(1) Let 1y=t So, we get:…

Q: Compute the required monthly payment on $80,000 30-year, fixed-rate mortgage with a nominal interest…

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Q: Is it true that the quotient of two complex number is obtained by dividing their moduli and…

A: Given question says "Is it true that the quotient of two complex number is obtained by dividing…

Q: Encounter the sector's area beneath the diagram of f(x) to the left of x = 12. f(x) = 1 / (x - 9)2

A: The area under a curve between two points is found out by doing a definite integral between the two…

Q: f (x) = e2* if x> 0 The Fourier transform of the function: 0if x<0

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Q: 3. Let f(x) = sin(-x²). Find a formula for F such that F'(x) = f(x).

A: If  ddx(f(x))=g(x) Then; ∫g(x)dx=f(x)+C Where C is the constant of integration.

Q: 5 V1 V2 V3 -3 2

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 2 %3D with x", x", x"| = [1, 2, 3]…

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 0 2 5 1 A = 3 7 2 7 15 6 -2 2 -2 6. 1 0…

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Q: -1)" (3n+2)| x2 By differentiating 1+x3 En=o[(-1)"(x)3n+2] , find the exact value of E-o 8n

A: Given: x21+x3=∑n=0∞(-1)n(x)3n+2To find: The exact value of ∑n=0∞(-1)n(3n+2)8n By using…

Q: Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A = and B =…

A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: Find the Lebesgue integral of the simple function f(x) = -3 * 1-4,1) (x) + 5 * 1(3,6) (æ).

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Q: – 2z = 3 and 2x – y +z=-13. Find the following. Consider the planes x – 1. The cosine of the angle…

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Q: (b) For the following Homogencous Lincar System of DE, what are the eigen values, corresponding…

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Q: Approximate the following integrals using the Trapezoidal rule. 0.5 b. dx d. re dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: 2) f(x) = x3 + 9

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Q: Identify the extrema (both minimum and maximum) of the given graphs below. If there is no extrema,…

A: We need to identify extremum in all the given graphs. As per policy, we are solving only the first…