Question: please help with these two questions asap, using methods indicated: 2. Let {9,(x); be an orthogonal set of functions on [a, b]. Is the following

please help with these two questions asap, using methods indicated:

please help with these two questions asap, using methods indicated: 2. Let{9,(x); be an orthogonal set of functions on [a, b]. Is the

2. Let {9,(x); be an orthogonal set of functions on [a, b]. Is the following statement True or False? 1/0 m (x) + $, (x)|2 -1/0m (x)|12 + 1/0.(x)|?, men If true, prove it (using the integral definition of the inner product); if false, explain/show why.3. Given the functions fllzx) = x and f2(x) = sanx on the interval [_" 1 . 2 2 (:1) Find the norm of f; on i 1]. 2 2 (1:) Are f1 and f2 orthogonal on [$. % '3' Us: the inner pmduct to obtain your answer; Show all work

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