S Using sine Fourier Intergral representation of the function f(x)=ex, x>0, we have where k 5 asin ka 1+q² da == ****

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A: Since there are many parts, so find the solution of the first one.

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Q: where is sketch??

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Q: uestion 3. efine an odd periodic extension of =2+3t, 0<t≤4 d hence find its half-range sine series…

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Q: 1. Consider the following function: f(x) = e = x, which is continuous on the interval [1,3]. Use…

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Q: Prove that if A and B are both countably infinite sets then A × B is also a countably infinite set.

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Q: 2.) Solve the following system of equations by performing row operations: x + 2y -z = 1 2x ty. - 2Z…

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Q: Use mathematical induction to divisible by 5 for all nt Ni int: Use the binomial formula: (a+b)² =…

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Q: (rosot) (x) r (x) = 3x² — x, s(x) = = x + 2 and t (x) = −x − 2|

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Q: 4. Let the function f: R - {2} → R be defined by f(x) x-5 2x - 3 Prove that ran(f) = R-{}}.

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Q: [0 (a) Determine the orthogonal complement of W. (b) What is the projection of y onto W? (c) Write y…

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