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anonymous

  • 5 years ago

When t>1 the number of people coming daily to a tourist attraction gradually grows according to f(t)=(t)^0.5+5/(t)^0.5 hundreds after t days. What is the growth rate when t=9 days?

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  1. anonymous
    • 5 years ago
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    just substitute 9 for t in your equation

  2. anonymous
    • 5 years ago
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    if you want the answer i canc alculate it its not too hard of a calculation., your problem takes form f(9) = 9 ^0.5 + 5/(9)^0.5 which becomes 3+5/3 which then if u simplify the fractions it becomes 14/3

  3. anonymous
    • 5 years ago
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    when you have problems like that, its basically asking for an exact value, because it is giving you an instantaneous moment, i.e. 9 days.

  4. anonymous
    • 5 years ago
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    for others viewing this, if i'm wrong plz let me know.

  5. anonymous
    • 5 years ago
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    does the function f tell you how many people are present at a given t or the rate at which they increase from day to day?

  6. anonymous
    • 5 years ago
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    this seems more like a simple calculus problem than algebra...

  7. anonymous
    • 5 years ago
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    I believe it tells how many people are present at a given t.

  8. anonymous
    • 5 years ago
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    time being replaced by 9 days no?

  9. anonymous
    • 5 years ago
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    JS, the answer is 7.41 people/day.

  10. anonymous
    • 5 years ago
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    then find \[f^\prime(9)\]

  11. anonymous
    • 5 years ago
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    why would you differentiate the equation to obtain growth?

  12. anonymous
    • 5 years ago
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    Perhaps I am differentiating the function incorrectly.. hmm

  13. anonymous
    • 5 years ago
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    i don't think it has to do with differentiation but that's my opinion.

  14. anonymous
    • 5 years ago
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    square root of 9=3 l mean 9^0.5=3 put 3 all instead of 9^0.5 result can be 14/3

  15. anonymous
    • 5 years ago
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    that's wat i thought as well.

  16. anonymous
    • 5 years ago
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    if the function tells you how many people are at the attraction at a given day then the rate at which the number of people is growing on a given day would be given by the derivative

  17. anonymous
    • 5 years ago
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    JS Why do you think diferentiation for this question

  18. anonymous
    • 5 years ago
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    if u differentiate the equation though, the proper differed equation is:\[0.5t ^{-0.5} - 2.5 t ^{-1.5}\]

  19. anonymous
    • 5 years ago
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    i didn't think it was differentiation., but in the case that i am wrong thats the differed equation. cuz when u substitute 9 in differed equation the value is wrong.

  20. anonymous
    • 5 years ago
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    Alright, thank you anyway!

  21. anonymous
    • 5 years ago
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    SLİM555 lm so sory l made a mistake your question asks rate that means tangent we have to take firt derivative of f(t) f'(t)=0.5t−0.5−2.5t−1.5

  22. anonymous
    • 5 years ago
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    exactly

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