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Problem 3 (6 points) Letx) = x3 5x2 + 2. Can we say that there must be a number 0 in the interval [1,1] so

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Problem 3 (6 points) Letx) = x3 5x2 + 2. Can we say that there must be a number 0 in the interval [1,1] so that f (c) = 1? Problem 4 (6 points each) 3. Draw the 1st derivative Sign chart then find the local maximum and minimum of _ _ - . _8(x2-2) x)_4ix_2{x2 a) Withf(x) 3w? b. Find the point of inflection of x) 2 x3 2x3 + 3

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