1. (10 pts) Let S = {e sin r, e cos r) and U T(f(x)) =...

 

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1. (10 pts) Let S = {e sin r, e cos r) and U T(f(x)) = f'(x) + f(x). a. Find [7]s b. Use [7]s to recompute T(e" (sin r + 2 cosx)) Span (S). Consider linear operator T: U U given by 1. (10 pts) Let S = {e sin r, e cos r) and U T(f(x)) = f'(x) + f(x). a. Find [7]s b. Use [7]s to recompute T(e" (sin r + 2 cosx)) Span (S). Consider linear operator T: U U given by