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anonymous

  • one year ago

The function f(t) = 30 sin (pi over 3t) −15 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take?

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  1. anonymous
    • one year ago
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    Maximum: 30°; minimum: 15°; period: pi over 3 hours Maximum: 30°; minimum: −15°; period: pi over 3 hours Maximum: 45°; minimum: 15°; period: 6 hours Maximum: 15°; minimum: −45°; period: 6 hours

  2. anonymous
    • one year ago
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    B

  3. anonymous
    • one year ago
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    Wait

  4. anonymous
    • one year ago
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    i totally don't get this if you can help omg ill give you fans and medals and everything lol

  5. anonymous
    • one year ago
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    @Hero

  6. Hero
    • one year ago
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    Hi, Brooke, would you at least know the limits of the range of the sine function?

  7. Hero
    • one year ago
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    Do you know the minimum and maximum values of sin(x)?

  8. anonymous
    • one year ago
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    no, I'm so so so confused. i am taking a test and this is the last question and I'm hopeless and this point

  9. anonymous
    • one year ago
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    @ashthecutie so would you say B

  10. anonymous
    • one year ago
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    No let me see

  11. Hero
    • one year ago
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    @brookefahey The minimum value of sin(x) is -1. The maximum value of sin(x) is 1.

  12. anonymous
    • one year ago
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    okay thats what i thought @Hero thanks for explaining that

  13. Hero
    • one year ago
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    Do you know what to do now that you know this information?

  14. anonymous
    • one year ago
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    @Hero can you help me with my question

  15. anonymous
    • one year ago
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    @Hero would i plug in -1 and 1 for sin

  16. Hero
    • one year ago
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    Replace sin(pi over 3t) with -1, then solve for f(t) to find the minimum. Replace sin(pi over 3t) with 1, then solve for f(t) to find the maximum.

  17. Hero
    • one year ago
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    Min of f(t) = 30(-1) - 15 Max of f(t) = 30(1) - 15

  18. anonymous
    • one year ago
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    that totally makes sense now… so the answer would be D! @Hero

  19. anonymous
    • one year ago
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    i know you can't give answers but just give me reassurance that i have somewhat of an idea of what is going on

  20. Hero
    • one year ago
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    D is correct.

  21. anonymous
    • one year ago
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    you are truly the best! thank you sooooo much!

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