Let P = {0, 1/5, 2/5, 3/5,4/5, 1} be a partition of the interval [0, 1]. Let f(x) = x² + x + 1. Find L(f, P) and U(f, P) and show that L(f, P) ≤ U (ƒ, P). If we let P = {0, 1/n, ..., 1}, for n Є N. Will we have the same conclusion ? Justify your answer.

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A: This is a consequence of the intermediate value theorem

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Q: 3. Determine the x interval(s) on which the function is increasing.

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A: here use normal distribution table

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A: Solution - Given that, Find the CDF of the distance of two randomly chosen of the [0,11] interval

Q: Let P {0, 1/5, 2/5, 3/5,4/5, 1} be a partition of the interval [0, 1]. Let f(x) = x² + x + 1. Find…

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Q: (2) Show that C(0, 1] C L'(0,1]. Compare |flsup and fl. Justify your answer. Generalize this to the…

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Q: | 23. If f(x) = É x2 and P is a partition of [1, 10] then L(f, P) -1 exists.

A: True.

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Q: Perform the indicated operation. (303-j19) (j2-1)

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