Math 0130 Tutorial Worksheet 10 A Finding a Blood Pressure Model (Assume No Phase Shift) A hypertensive person has a pulse rate of 80 heartbeats
Math 0130 Tutorial Worksheet 10 A Finding a Blood Pressure Model (Assume No Phase Shift) A hypertensive person has a pulse rate of 80 heartbeats per minute and a blood pressure of 135/90. Find a blood pressure model of the form P(t) = a sin(bt)+ d where t is time in seconds and P(t) is the pressure in mm Hg. a) Begin with a sketch of one heartbeat. Fully dimension your sketch! You will need to use the reciprocal of the heart rate to nd the period of the wave. This is the time in seconds for one heat (express as a fraction). b) From your graph, state the amplitude of the function and solve for a. c) From your graph, nd the period of the function in sec/beat. Use the period to solve for the exact value of b. b) From your graph, state the amplitude of the function and solve for a. c) From your graph, nd the period of the function in sec/beat. Use the period to solve for the exact value of b. d) From your graph, state the equation of the midline. Use this value to solve for d
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