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ivanzud

  • one year ago

Urgent:Action Required::: The temperature of a chemical reaction ranges between 40 degrees Celsius and 180 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 12-hour period. What is a cosine function that models this reaction?

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  1. ivanzud
    • one year ago
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    help!

  2. ivanzud
    • one year ago
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  3. ivanzud
    • one year ago
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    is it f(t) = 70 cos 12t + 110?

  4. anonymous
    • one year ago
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    C.

  5. CBARREDO1
    • one year ago
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    C

  6. ivanzud
    • one year ago
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    why C?

  7. anonymous
    • one year ago
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    the amplitude A of your function is: \[\Large A = \frac{{180 - 40}}{2} = ...?\]

  8. ivanzud
    • one year ago
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    70

  9. CBARREDO1
    • one year ago
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    Yes

  10. anonymous
    • one year ago
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    Corrcet

  11. ivanzud
    • one year ago
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    but c has -70

  12. anonymous
    • one year ago
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    since the period of our function is 12 hours, so the shape og our function has to be this: \[\Large \cos \left( {\frac{{2\pi }}{{12}}t} \right)\]

  13. ivanzud
    • one year ago
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    but why -70 in the front?

  14. anonymous
    • one year ago
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    since at t=0, the value is 40, then we have this drawing: |dw:1436896425801:dw| now, if I set t=0 into the first option I get: f(0)= 180 so the first option is not the right option

  15. ivanzud
    • one year ago
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    ok so it is C.

  16. CBARREDO1
    • one year ago
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    Yes C

  17. anonymous
    • one year ago
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    please substitute t=0 into the third option, what do you get? f(0)=...? -70 cos + 110? we have: \[\Large - 70\left( {\cos 0} \right) + 110 = - 70 \times 1 + 110 = 40\] So da answer is C. U WELCOME IF ANY OF YALL NEED HELP IN MATH JUST ASK ME IM A LITTLE GOOD IN MATH k PEACE OUT SON

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