Concept explainers
Fuel Consumption The daily consumption
where
(a) What is the period of the model? Is it what you expected? Explain.
(b) What is the average daily fuel consumption? Which value in the model did you use? Explain.
(c) Use a graphing utility to graph the model. Use the graph to approximate the time of the year when consumption exceeds 40 gallons per day.
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Chapter 1 Solutions
Trigonometry (MindTap Course List)
- CONCEPTS For an object in simple harmonic motion with amplitude a and period 2/, find an equation that models the displacement y at any time t if a y=0 at time t=0: y= ____________. b y=a at time t=0: y= ____________.arrow_forwardPiano Tuning When tuning a piano, a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by y=0.001sin880t, where t is the time (in seconds). a What is the period of the function? b The frequency f is given by f=1/p. What is the frequency of the note?arrow_forwardBlood Pressure The pressure P (in millimeters of mercury) against the walls of the blood vessels of a patient is modeled by P=10020cos8t3 where t is the time (in seconds). (a) Use a graphing utility to graph the model. (b) What is the period of the model? What does it represent in the context of the problem? (c) What is the amplitude of the model? What does it represent in the context of the problem? (d) If one cycle of this model is equivalent to one heartbeat, what is the pulse of the patient? (e) A physician wants the patient’s pulse rate to be 64 beats per minute or less. What should the period be? What should the coefficient of t be?arrow_forward
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