Math
posted by SC .
The temperature in a certain cave is a sinusoidal function of time. When you first enter the cave, you set up a thermometer to record the temperature. After 19.5 hours, the temperature in the cave is at its maximum: 35 degrees celsius. The temperature then dropped, reaching the minimum temperature of 25 degrees Celesius in 36.5 hours after you entered the cave.
During the first 90 hours after you enter the cave, how much time will the temperature in the cave be above 31 degrees Celsius?
I need help finding the period and the phase shift:
sinusoidal model
T(t)=sin[2pi/B(xC)]+D
D=(6+5)/2=11/2
A=(65)/2=0.5
B=period
C=phase shift
I need help finding B and C

Since the maxtomin temperature interval is 17 h, the period is 34 h. Use the time of the maximum to get the phase angle. The argument of the sin function is then pi/2.
Respond to this Question
Similar Questions

Physics
A bat flying in a cave sends out a sound wave to navigate. If the cave temperature is 10.8 C, and the sound the bats sends out takes 0.0679 s to echo back, how far away is the cave wall 
physics
A plane flying horizontally at a constant velocity drops a bomb on a cave from a height of 500 m. At the moment the bomb hits the ground, the plane is A.) 250 meters beyond the cave B.) Directly over the cave C.) 250 meters from the … 
Physics
You are standing at the top of a deep, vertical cave and want to determine the depth of the cave. Unfortunately, all you have is a rock and a stopwatch. You drop the rock into the cave and measure the time that passes until you hear … 
Physics
A bat flying in a cave emits a sound and receives its echo 0.1 s later. Show that it's distance from the cave wall is 19 m. 
physics
A person whose weight is 507 N is being pulled up vertically by a rope from the bottom of a cave that is 30.1 m deep. The maximum tension that the rope can withstand without breaking is 590 N. What is the shortest time, starting from … 
Physics
A person of mass 50.0 kg is at the bottom of a cave. The cave has a depth of 32.5 meters and the person is to be pulled out of the cave vertically by a rope, starting from rest. What is the shortest amount of time that this could take … 
Math
The elevation of an underwater cave is 120 feet relative to sea level. A submarine descends to the cave. The submarineâ€™s rate of change in elevation is no greater than 12 feet per second. How long will it take to reach the cave? 
Math
An explorer descends to the deepest part of a cave. Then she ascends 25 feet per minute. After 3 minutes, she is at 195 feet. What is the depth of the cave? 
mathprecalculus
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 87 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after midnight, … 
Math
The fee for hiking a guide to explore a cave is 700 pesos. A guide only take care of maximum of 4 persons,and additional guides can be hired as needed. Represent the cost of hiring guides as a function of the number of tourist who …