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Suppose V is the vector space of continuous functions f : [1, 1] > R, equipped with the inner product given by 1 (g) =

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Suppose V is the vector space of continuous functions f : [1, 1] > R, equipped with the inner product given by 1 (g) = / f(x)g(x)(1x2)dx. 1 Let p(x) 2 1 and q(x) = x be elements of V. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", and using the given inner product, calculate: - the angle between 13 and q\\:' +

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