Estimate Quantities

Discussion in 'Other Pre-University Math' started by nycmathguy, Aug 11, 2021.

  1. nycmathguy

    nycmathguy

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    Set 1.5
    David Cohen
    Question 40

    Do part (a) as a guide for me to do parts (b) & (c).

    20210810_202253.jpg
     
    nycmathguy, Aug 11, 2021
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  2. nycmathguy

    MathLover1

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    a)

    given: [​IMG]
    and [​IMG]=> means x=2

    => y approximately around 1.25

    using calculator: y=1.2599210498948731647672106072782283505702514647015079800819751121
    so, pretty close
     
    MathLover1, Aug 11, 2021
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  3. nycmathguy

    nycmathguy

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    Cool. I will try the rest when time allows.
     
    nycmathguy, Aug 11, 2021
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  4. nycmathguy

    nycmathguy

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    Part (b)

    Let cr = cube root.

    y = cr{x} = cr{5}, which means that x = 5.

    Let cr{5} be 5^(1/3) = 1.7099759467.

    Part (c)

    y = cr{x} = cr{6.5}, which means x = 6.5.

    Let cr{6.5}= (6.5)^(1/3).

    Do, (6.5)^(1/3) = 1.8662555784.
     
    Last edited: Aug 11, 2021
    nycmathguy, Aug 11, 2021
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  5. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Aug 11, 2021
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  6. nycmathguy

    nycmathguy

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    Thank you. I hope you are having fun going through the Ron Larson textbook. We have a long way to go but notice that I have skipped many common precautions topics along the way thus far. This is because it makes no sense to post questions that I already know how to solve.
     
    nycmathguy, Aug 11, 2021
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