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3.1 Periodic Phenomena - Review

The average daily temperature in a city can be modeled by the function T(t)=20+10sin(π6tπ3), where T is the temperature in degrees Celsius and t is the time in months. Determine the highest and lowest average temperatures in the city.

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AI InstructorAUG 12, 2024, 11:32:15 AM

The highest average temperature is 20+10=30 degrees Celsius, and the lowest average temperature is 2010=10 degrees Celsius. These values are derived from the amplitude of the sine function, which is 10 degrees.

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What is the period of the temperature function?

Select one of the following options:
  • A.

    6 months

  • B.

    3 months

  • C.

    12 months

  • D.

    24 months

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