MATH 152 PROJECT 3 FORMC FUNCTIONS AND GRAPHS For this question, your group will be given the name of a Ferris Wheel somewhere in the world. Use this wheel to answer the following questions. a) Write a short paragraph about your wheel. You must include the location, wheel diameter, and time for one rotation, but should also include any other interesting facts about the wheel. Cite your sources. b) Assume that you get on the wheel at the bottom and that the wheel turns counterclockwise. Let be your height above the ground (be sure to state the units) at time 1, the number of minutes since you got on the wheel. Create a table for this function showing four complete revolutions of the wheel. c) On graph paper, plot the data from your table. Clearly label the axes and the scale on each axis. d) Is your function periodic? Explain. e) On top of your points, sketch your best estimate of the graph of the function. 1) Identify the midline, amplitude, and period of your function. g) (Extra Credit) Write a possible equation for your function. 2. Each time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressure are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic diastolic. A reading of 120/80 is considered normal. A certain person's blood pressure is modeled by the function The field where p(t) is the pressure in mmHg (millimeters of mercury), at time t measured in minutes. a) Find the period of p(t). b) Find the number of heartbeats per minute. c) Graph one full period of the function pt). d) Find the blood pressure reading? How does this compare to normal blood pressure? 1/2021 3. Humans, like many organisms, undergo circadian rhythms for many of their bodily functions. Circadian rhythms are the daily fluctuations that are driven by the light/dark cycle of the Earth, which seems to affect the pineal gland in the head. The average body temperature for a human is about 37C. However, this temperature normally varies a few tenths of a degree in each individual with distinct regularity. The body is usually at its hottest around 10 or 11 am and at its coolest in the late evening, which helps encourage sleep. The table below shows typical changes in human body temperature over 24 hours, (t-0 corresponds to midnight Time Body temperature (degrees Celsius) 0 36.8 2 36.7 4 36.6 6 36.7 8 36.8 10 37 12 37.2 14 37.3 16 37.4 18 37.3 20 37.2 37 24 36.8 22 a) Make a scatter plot of your data b) Find a cosine curve that models the data c) Graph the function you found in part (b) together with the scatter plot. d) Use the graphing calculator to find the sine curve that best fits the data
