2 Gram-Schmidt algorithm to conv -e {1, x, x} space to an orthogo where the internal Product is => = P(0) Q (0) + P(1) Q (1) + P (2) Q = •>=S² P(x) Q (x) dx

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Q: Q1. Find an approximation to V9 using 4 steps Bisection Algorithm

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Q: Compute fx²³ In (8x) dx a) = 6 x + [+\n (8x)=1] + C 4 b)x+ [4\n(8x) +1] +C c) = x²4 [4Ln (8x) + 1] +…

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Q: Q8) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant…

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A: We will use properties of combinatorial series

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Q: ;0<x<0, - 0 <0 <0 Let X,,X,X,r(x;e)=- e.w Discuss the sufficiency by using Factorization Theorem.

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Q: 6.) Find the root/s using Bisection method а. е * — 3lодх b. f(x) = e-*(x² – 5x + 2)

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A: To prove: ∫-∞∞xe-x2HnxHmxdx=π2n-1n![δm,n-1+2n+1δm,n+1] Proof: Take the LHS ∫-∞∞xe-x2HnxHmxdx and…

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