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23 January, 09:05

Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the temperature sensor in the refrigerator is activated satisfies t=1cos (1.05h) + 37. Determine the period of the function and explain what it represents. Include the maximum and minimum temperatures in your answer.

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  1. 23 January, 09:21
    0
    6

    Step-by-step explanation:

    Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the temperature sensor in the refrigerator is activated satisfies t=1cos (1.05h) + 37. Therefore, the period of the function is 6.
  2. 23 January, 10:28
    0
    Period=6

    Step-by-step explanation:

    Given:

    t=1cos (1.05h) + 37

    Using acos (bx-c) + d to find the period of the given function

    amplitude = a

    period = 2π/Bb

    phase shift=c (positive is to the left)

    vertical shift=d

    comparing with t=1cos (1.05h) + 37, we get

    a=1

    b=1.05

    c=0

    d=37

    period = 2π/b

    =2π/1.05

    =5.983

    =6

    Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i. e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!
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