Hugo bakes world famous scones. The key to his success is a special oven whose temperature varies according to a sinusoidal function: assume the temperature (in degrees Fahrenheit) of the oven t minutes after inserting the scones is given by y = s(t) = (a) Find the amplitude, phase shift, period and mean for s(t), then sketch the graph on the domain 0 <= t <= 20 minutes. (b) What is the maximum temperature of the oven? Give all times when the oven achieves this maximum temperature during the first 20 minutes. (c) What is the minimum temperature of the oven? Give all times when the oven achieves this minimum temperature during the first 20 minutes. (d) During the first 20 minutes of baking. calculate the total amount of time the oven temperature is at least 410 degree F. (e) During the first 20 minutes of baking. calculate the total amount of time the oven temperature is at most 425 degree F. (f) During the first 20 minutes of baking. calculate the total amount of time the oven temperature is between 410 degree F and 425 degree F.
