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iplayffxiv

  • 2 years ago

a Suppose that f has a positive derivative for all values of x and that f(2) = 0. Which of the following statements must be true of the function

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  1. iplayffxiv
    • 2 years ago
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    \[g(x)= \int\limits_{0}^{x}f(t) dt\]

  2. iplayffxiv
    • 2 years ago
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    A) The function g has a local maximum at x = 2. B) The function g has a local minimum at x = 2. C) The graph of g has an inflection point at x = 2. D) The graph of g crosses the x-axis at x = 2.

  3. iplayffxiv
    • 2 years ago
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    but what if it isn't because the question says "of the function"

  4. iplayffxiv
    • 2 years ago
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    if there is a positive for all x doesnt that mean it never crosses x axis?

  5. fatima1
    • 2 years ago
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    positive derivative means that the curve is proceeding in downward direction

  6. iplayffxiv
    • 2 years ago
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    oh

  7. iplayffxiv
    • 2 years ago
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    still think its d?

  8. t_soulb
    • 2 years ago
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    no no wait ..

  9. t_soulb
    • 2 years ago
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    i think its b,c,d .. comments please :)

  10. iplayffxiv
    • 2 years ago
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    now im more confused

  11. sama491
    • 2 years ago
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    f(2)=0 implies that for f at x=2, y=0 thus option D is right.

  12. iplayffxiv
    • 2 years ago
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    you think its d sama?

  13. sama491
    • 2 years ago
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    Nothing can be said about the other options as there is no mention of the nature of the derivative of f except that it is +ve which implies f is always increasing in the domain. So yes it is D :)

  14. iplayffxiv
    • 2 years ago
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    ok thanks sama and soul

  15. iplayffxiv
    • 2 years ago
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    hope its correct

  16. sama491
    • 2 years ago
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    Will be right ;) And you're welcome!

  17. t_soulb
    • 2 years ago
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    b..is correct sorry .. see as

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  18. sama491
    • 2 years ago
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    Dude I'm so sorry! I read g as f :P B is right!

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