Height of A Rectangle

Discussion in 'Other Pre-University Math' started by nycmathguy, Jul 19, 2021.

  1. nycmathguy

    nycmathguy

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    Section 1.5
    Questions 83 & 84

    See attachment.

    Question 83

    h = y-coordinate - function value of y

    h = 3 - 4x + x^2

    This is my guess.

    Question 84

    h = y-coordinate - function value of y

    h = 4 - 2x + 4x - x^2

    h = 4 + 4x - x^2

    You say?

    20210718_185552.jpg
     
    nycmathguy, Jul 19, 2021
    #1
  2. nycmathguy

    MathLover1

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    Question 83 is correct

    Question 84
    observe h, it does not go up to point (2,4), so you cannot use y=4

    h = (4x - x^2) - 2x
    h = 4x - x^2- 2x
    h =2x - x^2
     
    MathLover1, Jul 19, 2021
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  3. nycmathguy

    nycmathguy

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    I see what you mean. Do you see the integral symbol in the upper left hand corner? I think this set of questions is preparedness for Calculus 1.

    Your set up here is basically h = curve - line.

    Yes?
     
    nycmathguy, Jul 19, 2021
    #3
  4. nycmathguy

    MathLover1

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    Yes
     
    MathLover1, Jul 19, 2021
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  5. nycmathguy

    nycmathguy

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    Interesting questions which is the reason why I posted 83, 84, 85, and 86.
     
    nycmathguy, Jul 19, 2021
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