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    The Slope of a Line

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    (a) What is the slope of the line through (2, 4)
    and (x, y) for y = x^2 + x − 2 when:
    i. x = 1.99?
    ii. x = 2.004?
    iii. x = 2 + h?

    (b) What happens to this last slope when h is very
    small (close to 0)?

    (c) Sketch the graph of y = x^2 + x − 2 for x near 2

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    Solution Preview

    a) You have the equation of a curve that is the following.


    i) You need to take the derivative of the ...

    Solution Summary

    This response provides assistance on a calculus question on slopes and graphs.