NGÔI2 2 A function fis such that f(x)=4²+4² +ar+b. It is given that 2r-1 is a factor of both f(x) and f'(x). (Show that &-2 and find the value of a

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A: This is the problem of Harmonic Analysis.

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A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

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Q: 2. For the following graph, determine C if x = 2. 04 U 0.3 0.2 1.0 0246 8 10 12 log C 0

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Q: (*) Find the Fourier cosine series of f(x) = sin(4x) on [0, π]. Could you guess what the Fourier…

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Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

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Q: Suppose y and on an open interval I that contains the origin. Express the following as a n=0…

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Q: Solve the system 7 -1 [7] 6 2 dx dt with the initial value -6 -A [[:] x(0) = -15 x(t): || X

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Q: 2. Let P(x)= (2x³ (8x4) — (5x²)6 + √x16). find the following: - 10 2x(-5-m) a. Simplify P(x).…

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Q: a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: list the three transformations being applied to f(x)= 4 sin(4(x-5))+5 parent function: f(x)=sinx

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A: We use definition of connected and path connected sets. We use contradiction method.

Q: 3 (=-2)* 2. Show that - = 00,

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Q: 3. Use the Laplace transform method to solve the initial value problem x₁ = 6x₁ + 11x2, x2 = −4x1-…

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Q: 52. For the weighted graph shown in Fig. 6-47, find the cheapest- link tour. Write the tour using B…

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Q: If f(X) is a convex function, then ef(x) is also convex function. O True

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Q: Find N (t), T(t), aŢ, and añ: r(t) = t³i+ 8 cos tj + 6 sin tk; t = π

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Q: 2. Using an appropriate method, compute the following integrals. x² dx x² + 3x +2° (i) sin³x cos*x…

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Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

A: If there points A,B,C are co linear then we can have  |AB|+|AC|=|BC| . (A,B,C may have interchanged…