Question

1) Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 95 degrees occurs at 3 PM and the average temperature for the day is 75 degrees. Find the temperature, to the nearest degree, at 7 AM.

2) Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 67 and 103 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after midnight, to two decimal places, does the temperature first reach 76 degrees?

Answer 1

nos given Avg temperature - 75 degrees high temp 95 dejores 100 qo 80 70 So Amplitude = 95 - 75 = 20 << 25. fcas= 75 + 8 sinn. So which is we have to find temp at 7AM 8 hours before 3 PM 2= .-116 75+ 8 Sin (-776) 75 4 Tero 71 de grey

तुर y: Asincw(x-2)) + с 103767 2 85 A = 103-85 18 dejores Period = 24 houn co- 27 24 da ; y: 18 sin(+9 (-6)) +85 given y = 76 76= 18 sin GT (9-b)) +85 76=85 18 sin (F (R-8) sin ( 1 (2-0)) = 1/2 ( 7-8) -30 12 so n? 7 hour If any doubt please Comment Thank you