8. Find the function whose Fourier sine transform is the following function. S[u] - 2 0 x = [1, 2], x = (2,3] otherwise.

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

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A:

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Q: Find the eigenvalues A₁ < A₂ < A3 and corresponding eigenvectors of the matrix The eigenvalue X₁ =…

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Q: Which of the following first order is linear? (¹) ¹/x = ¹ ex (六) a dx x A. B. (1) dy dx = 1 ex c.…

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Q: Exercise 7.21. (a) Prove that (2) is a maximal subgroup in Z (under addition). (b) Prove that (3) is…

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Q: 3. a. Let T: V→R³ be a linear transformation from a vector space V to R¹. Geometrically, what are…

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Q: Let A = 64 -2 -3 Find the eigenvalues of A and, for each eigenvalue, find a corresponding…

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Q: Given g(x) = 5x² − x + 7, find the following. (a) g(0) (b) g(−1) (c) g(r) (d) g(x + h)

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Q: Find an explicit solution of the given initial-value problem. √₁ - y² dx - √1 - x² dy = 0, y(0) =…

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Q: For the system below a. Find the equilibrium points. b. For the equilibrium point (1,1) solve the…

A: Solution:

Q: 42 -(-433)X: X(0) - (1) is The solution of the system X'= Select the correct answer. O a. -2 °* x-((…

A: Solve by Matrix method

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Q: Q&A Library estion starts here! ea -3 (z-e²^)(z-3), a > 0 The inverse z-transform of e-a-3 The…

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Q: Convert 16510 to binary number. Select one a 001001012 b. 10001110₂ c 101001012 d. 10110000₂

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Q: ar systems of differential eq + 2y = sint x - y' = cost x(0) = 0

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Q: Exercise 7.24. (a) Suppose : Z36 → G is a surjective homomorphism, where |G| (b) (a) Suppose : Z25 →…

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Q: find the general solution of the following differential equation if one solution is known to be y=x…

A: Using the reduction of order

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A: given,  total number of authors =200 claim- compute the relative frequency if the author is…

Q: Question 1 Find the solution to the Bernoulli Equation. 2x³y' = y(y² + 3x²)

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Q: Exercise 7.23. Let G be an Abelian group and let ne N. Let Gn Gn = {gge G}. Prove that G/Gn Gn. = {g…

A: Introduction: The isomorphism theorems are very important in studying group isomorphism. There are…

Q: Let u = ----- 2 and w= P 0 -3 [] [3]. Au = (b) Find the matrix A. be vectors in R³. Let A be a 3 x 3…

A: Let A be a matrix whose eigen values are λ1,λ2 and λ3 and v1,v2 and v3 are corresponding eigen…

Q: Solve the eigenvalue problem fo {(z)-po(z)-0 do (0)= 0, $(1)-0. 00, and p<0.

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Q: I. Students are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the…

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Q: Solve the initial value problem Ut + 2ux -3u, u(x,0) = 1/(1+x²), == x € R, t > 0 TER

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Q: Find the kernel of the following differential operator. D3 - 10D2 + 25D = 0 Thanks

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Q: A- The level surfaces f(x, y, z) = x² + y² + z² 11 = 0 and the plane g(x, y, z)= x+y+ Z- - 5 = = 0…

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Q: Find the double integral SSR V10-2²-y² dA by changing it to polar coordinates, where R is the region…

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Q: Your total payment on a 7 year loan, which charged 7.5% annual simple interest, amounted to $70,860.…

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Q: Let C = {1, 3, d, e}. Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C.…

A: The given set is C = {1,3,d,e} and the given relation is R={ (1,1),(1,3),(1,e),(3,3),(3,d),(e,3) }…

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Q: 6. Find the volume of a wedge cut out of a "cylinder" whose base is the region bounded by y = cos(x)…

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Q: Determine whether the DE has homogeneous coefficients. If it is find the implicit solution. y(9x -…

A: