Question: Consider the following step function. 0 x0 X>0 1 Calculate the average value of u(x) on [-1, 1]. u(x) = Is there a value

Consider the following step function. 0 x0 X>0 1 Calculate the average value of u(x) on [-1, 1]. u(x) = Is there a value c in [-1, 1] such that u(c) attains the average? If not, why does the mean value theorem for integrals fail?

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