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G9211

  • 2 years ago

Suppose that f is a function with f (25) = 61 and f (25) = 3. If you have no further information, what is your best estimate of f(26.5)?

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  1. victorarana
    • 2 years ago
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    You could do a linear estimation.

  2. victorarana
    • 2 years ago
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    |dw:1326783771569:dw|

  3. rivermaker
    • 2 years ago
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    I think there is a typo in the question. Is it f(26) = 3

  4. Hero
    • 2 years ago
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    You only have two points. You have no choice but to consider linear estimation.

  5. victorarana
    • 2 years ago
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    Do you know what a linear estimation is?

  6. G9211
    • 2 years ago
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    No, its f (25) = 3. and thanks to everyone helping!

  7. rivermaker
    • 2 years ago
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    f(25) = 3 and f(25) = 61???

  8. G9211
    • 2 years ago
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    sorry, its f^1

  9. victorarana
    • 2 years ago
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    remember that you can graph a line with two points. like the picture I drawn

  10. victorarana
    • 2 years ago
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    Mmm wait a minute.

  11. rivermaker
    • 2 years ago
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    This is odd. The question is wrong and the answer is giiven and gets a medal too! :-)

  12. victorarana
    • 2 years ago
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    that looks like a vertical line,

  13. victorarana
    • 2 years ago
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    like x = 25

  14. G9211
    • 2 years ago
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    okay i'll try reposting the question too, if anyone else is confused. I copied it from the file im working on and pasted it so it took away the powers

  15. G9211
    • 2 years ago
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    Suppose that f is a function with f (25) = 61 and f^1 (25)= 3. If you have no further information, what is your best estimate of f(26.5)?

  16. G9211
    • 2 years ago
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    would i still approach it the same way Victorarana?

  17. victorarana
    • 2 years ago
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    mmm with the f^1 you mean derivative i suppose?

  18. G9211
    • 2 years ago
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    yes!

  19. victorarana
    • 2 years ago
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    Ok you can integrate then.

  20. G9211
    • 2 years ago
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    sorry im new to calculus and new to this website, im not entirely sure what you mean :P

  21. victorarana
    • 2 years ago
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    Don't worry, let me think

  22. victorarana
    • 2 years ago
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    I got it. let me make a draw

  23. G9211
    • 2 years ago
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    okay thanks a lot! i appreciate it!

  24. victorarana
    • 2 years ago
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    |dw:1326784522811:dw|

  25. victorarana
    • 2 years ago
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    that is the information we have. a point (25,f(25))

  26. victorarana
    • 2 years ago
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    and the slope of a tangent line at that point

  27. victorarana
    • 2 years ago
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    like we told you before, you can aproximate the value of the function with a straight line

  28. victorarana
    • 2 years ago
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    but only at the point near x = 25

  29. victorarana
    • 2 years ago
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    Is it clear?

  30. G9211
    • 2 years ago
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    Yeah that makes sense! Thank you VERY much :)

  31. victorarana
    • 2 years ago
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    then you can do the rest by yourself =)

  32. G9211
    • 2 years ago
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    yep, thanks again!

  33. victorarana
    • 2 years ago
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    You're welcome

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