Plot the graph of (x) = sin mx sin nx on [0, ] for the pairs (m,
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Plot the graph of ƒ(x) = sin mx sin nx on [0, π] for the pairs (m, n) = (2, 4), (3, 5) and in each case guess the value of I = ∫π0 ƒ(x) dx. Experiment with a few more values (including two cases with m = n) and formulate a conjecture for when I is zero.
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The graphs of fx sin mx sin nx with m n 2 4 and m n 35 are shown below the positive ar...View the full answer
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