Word Count : 132

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Consider the set (S={\cos x,\sin x,x\cos x,x\sin x}). To check linear independence over (\mathbf{R}), assume a linear combination equals zero for all (x): [ a_0\cos x+a_1\sin ___ _____ ________ _______ ________ _____ _________ ___ _______ ___ ______.
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