Problem 1: Here is a set of polynomials {1,1-x}. Is this a linearly independent or dependent set, and why? Show that this collection of polynomials is orthogonal with respect to the weight function w(x) = exp(-x) on (0, ∞o). Show your working, you should not just plug integrals in to a software-solver. (a) (b)

Q: Solution is incorrect

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Q: (a) J₁ J5 4 2 1 6 3 2 3 A3 7 6 5 8 A4 | 9 6 5 7 As 8 3 5 7 4 A₁ ܠ ܠ ܠ ܠ ܠ A2 125 J1 J2 J3 3 1 +3∞47…

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