Sketch the graph whose incidence matric, C, is given below. Then verify that L = CC^T, where L is the Laplacian.

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Q: Just do c.)

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Q: 11. If the following differential equation has to be transformed to a separable form by substituion.…

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Q: B) Find a solution to the BVP: z'y"-5zy' + 8y = 0, y(1) = -2, y'(-1) = 4.

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Q: Exercise 25.2. Prove that log, (bc) = log, b+ log, c (mod p- 1) for all b, c not divisible by p.

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Q: Find a basis for the column space and the rank of the matrix. 4 8 1 3

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Q: Use the Taylor series coefficient formula to determine the value of g(27) (0), where g(x) = (1+r² +…

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Q: 5. Which of the following is a solution to the differential equation dy y3-5 a)쓸-5y%3D + C dt b) +…

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Q: Q) prove that (1) -2P xSinx 2.

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Q: Let K be a field. Consider the following set -{(::)- a 0 R:= Je K?x2: a1, az € K a2 (Ka,+) (a) Show…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) + y2 + z2 (3, 7, 2)…

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Q: Q1. Q2 € Raxn. Q1 - Q2 (c) Show: orthogonal matrices

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Q: y(exy + y)dx + x(exy + 2y)dy = 0

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Q: 2. Determine one real root of h (x) = In() -3 between -0.9 and -0.2 using the Bisection Method.…

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Q: Question 2 then the value of "fx) =L 3+1 O 1 O None of the other choices O 2 O V3

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Q: X , If f(x) = Osx<1 then L{fx)}= x21 e e O 1 1 s2 s2 O 1 e s2 1 1 e e s2 None of the other choices

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Q: 16. Given the differential equation and the solution. determine the wronskian -3+2y 0 dx2 ex %3D y =…

A: Given differential equation is d2ydx2 - 3dydx + 2y = 0 with solution y = Aex + Be2x

Q: Numerically integrate f (x) = x +3x² + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule.…

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Q: Problem 6 Given the series 5.¢,25x + 125x? i 625 x? +.:. a) For which values of x does the series…

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Q: Given: A = 0.6 – j0.4 B = 0.5 + j0.8 С 3 0.6 — 30.8 D = 0.5+ j0.4 %3D Evaluate: C+2 log, (3B)2(cos…

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, aşsuming…

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Q: ORTHOGONALITY OF BESSEL FUNCTIONS x J, (ax) J, (Br) dx = 0 where a and B are the roots of Jn (x) =…

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Q: a b c Question 6 : If A= |d e f,with det (A) = 3. Find g h i [49 2a -d] det (2B-) when B= |4h 2b -e…

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Q: When the reduced echelon form of A is R, find the conditions under which C(A) and C(R) are the same.

A: The matrix given is as follows: A=121-1233b1-1a2 Apply the following row operations:…

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Q: 36. Find the shaded areas 110° a. 2 2 110 2. b. d.

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Q: Given: A = 0.6 – j0.4 B = 0.5+ j0.8 C = 0.6 – j0.8 D = 0.5 + j0.4 %3D Evaluate: (C+B)/ log.…

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Q: The function f(x, y) = r° – 3x – 2xy – y – 2y + 4 Has two stationary points. Find and classify then.…

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Q: Solve the initial value problems.

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Q: 13. Which of the following is a solution of the differential equation d'y dy dx2 a) e6x 6y = 0 dx b)…

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Q: ckk k ck A = where c andk are real numbers. (a) Find the eigenvalues of A in terms of c and k. (b)…

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