Scientists use the formula f() = asin t+e) + d !! to simulate temperature variations during the day, with t in hours, temperature f(t) in °C and t = 0 corresponding to midnight. (Assume that the temperature is decreasing at midnight). Determine the values of a, c, d that would fit the following scenarios: 55. The high temperature is 10°C, and the low temperature of -10°C occurs at 4 AM. 56. The temperature at midnight is 15°C and the high and low temperatures are 20°C and 10°C.

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Chapter1: Chemical Foundations
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Scientists use the formula
f() = asin t+e) + d
!!
to simulate temperature variations during the day, with t in hours, temperature f(t) in
°C and t = 0 corresponding to midnight. (Assume that the temperature is decreasing at
midnight). Determine the values of a, c, d that would fit the following scenarios:
55. The high temperature is 10°C, and the low temperature of -10°C occurs at 4 AM.
56. The temperature at midnight is 15°C and the high and low temperatures are 20°C
and 10°C.
Transcribed Image Text:Scientists use the formula f() = asin t+e) + d !! to simulate temperature variations during the day, with t in hours, temperature f(t) in °C and t = 0 corresponding to midnight. (Assume that the temperature is decreasing at midnight). Determine the values of a, c, d that would fit the following scenarios: 55. The high temperature is 10°C, and the low temperature of -10°C occurs at 4 AM. 56. The temperature at midnight is 15°C and the high and low temperatures are 20°C and 10°C.
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