1. Suggest ways to avoid loss of significance in these calculations. (a) √√x4+4-2 (b) ln(x+√x² +1) (c) 1-cos.x (d) in r

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Q: 2. Compute the eigenvalues and eigenvectors of each of the following matri- ces. 0 1 -1 -1 0 2 1 -2…

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Q: 1. Using (2n +1)Pn= Pn+1-P-1: prove that P(x) = (2n-1) Pn-1(x) + (2n-5) Pn-2+(2n-9) Pn-3+.... - and…

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Q: Graph of the function f(x) = x3  is translated horizontally to create g(x) . If the point (4,8) is…

A: Graph of the function f(x) = x3  is translated horizontally to create g(x) if the point (4,8) is on…

Q: ΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤΗ ΜΑΤ hich one is correct and which one is wrong?…

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Q: (b) Consider the set R. Prove: (i) VxER, x 0 = 0; (ii) If x y = 0 then either x = 0 or y = 0, or…

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Q: Q.5 Consider the Sturm-Liouville problem d x(xy')+(2-1)y=0, dx y'(1)= 0, y'(e)=0

A: Given,                  xddxxy'+λ-1y=0,       y'(1)=0, y'(e2)=0

Q: Use Stokes's Theorem to evaluate F(x, y, z) = z²i+yj + zk S: z = √√16x2 - y2 6 F. dr. In this case,…

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