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150 140 130 120 110 100 90 80 70 60 50 40 30 20 14 15 18 19 20 Time (minutes) a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10 minutes. Heart Rate (bpm)

150 140 130 120 110 100 90 80 70 60 50 40 30 20 14 15 18 19 20 Time (minutes) a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10 minutes. Heart Rate (bpm)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9. The graph below represents the heart rate, in beats per minute (bpm) of a runner t minutes after finishing a race. Heart Rate Recovery 200 -190 -180 170 -160 150 140 130 120 110 -100 -90 -80 70 60 50 40 30 20 10 12 13 14 15 16 17 18 19 20 Time (minutes) a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10 minutes. %3D b) Use a tangent line to calculate the instantaneous rate of change of heart rate at t = 7 minutes. Heart Rate (bpm)
Transcribed Image Text:9. The graph below represents the heart rate, in beats per minute (bpm) of a runner t minutes after finishing a race. Heart Rate Recovery 200 -190 -180 170 -160 150 140 130 120 110 -100 -90 -80 70 60 50 40 30 20 10 12 13 14 15 16 17 18 19 20 Time (minutes) a) Use a secant line to calculate the average rate of change of heart rate from t = 0 to t = 10 minutes. %3D b) Use a tangent line to calculate the instantaneous rate of change of heart rate at t = 7 minutes. Heart Rate (bpm)
c) The graph above (question 9) can be modeled with the equation R(t) = 120(0.75) + 60. Use the equation to verify the results from above: i) average ROC of heart rate from t = 0 to t = 10 minutes. ii) instantaneous rate of change of heart rate at t = 7 minutes.
Transcribed Image Text:c) The graph above (question 9) can be modeled with the equation R(t) = 120(0.75) + 60. Use the equation to verify the results from above: i) average ROC of heart rate from t = 0 to t = 10 minutes. ii) instantaneous rate of change of heart rate at t = 7 minutes.
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