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    Series of Calculus Questions

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    Series of Various Calculour Questions Attached.

    You do not need to show your work for this one because I would simply like to compare your answers with mine so that I am sure that I did everything correct on mine. Please just write your answer after each number. I will know which problems I will have to study in detail with your help. Thank you very much.

    You gave me this kind of format last time:


    I would please like the answers to be written in this kind of format instead:

    12. f'(x) = 1/(1-x)^2


    1. Find all the critical numbers: .
    2. Find all the extrema in the interval [0, ] if y = x + sin x.
    3. Find the absolute maximum and absolute minimum of f on the interval (-1,2].
    4. Consider . Find all values, c, in the interval [0,1] such that the slope of the tangent line to the graph of f at c is parallel to the secant line through the points (0,f(0)) and (1,f(1)).
    5. Find all open intervals on which is decreasing.
    6. Find the relative extrema of , including the designation of maximum or minimum.
    7. A differentiable function f has only one critical number: x = -3. Identify the relative extrema of f at (-3,f(-3)) if f'(-4) = ½ and f'(-2) = -1.
    8. Find all the intervals on which the graph of the function is concave upward: .
    9. Find all points of inflection:
    10. Find all horizontal asymptotes: .
    11. Find
    12. Calculate 3 iterations of Newton's Method to approximate the real zero of . Use as the initial guess and round to 4 decimal places after each iteration.

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    Solution Summary

    The series of a calculus question is found.