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3. After a race, a runner's heart rate (in bpm) is modelled by the function R(t) = 120(0.85)¹ + 70, where t represents the time in minutes. a) What is the average rate of change of heart rate over the first 5 minutes? b) Estimate the instantaneous rate of change after 10 minutes. c) How many minutes does it take for the heart rate to lower to 90bpm?

3. After a race, a runner's heart rate (in bpm) is modelled by the function R(t) = 120(0.85)¹ + 70, where t represents the time in minutes. a) What is the average rate of change of heart rate over the first 5 minutes? b) Estimate the instantaneous rate of change after 10 minutes. c) How many minutes does it take for the heart rate to lower to 90bpm?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. After a race, a runner's heart rate (in bpm) is modelled by the function r(t) 70, where t represents the time in minutes. a) What is the average rate of change of heart rate over the first 5 minutes? b) Estimate the instantaneous rate of change after 10 minutes. c) How many minutes does it take for the heart rate to lower to 90bpm? = 120(0.85) +
Transcribed Image Text:3. After a race, a runner's heart rate (in bpm) is modelled by the function r(t) 70, where t represents the time in minutes. a) What is the average rate of change of heart rate over the first 5 minutes? b) Estimate the instantaneous rate of change after 10 minutes. c) How many minutes does it take for the heart rate to lower to 90bpm? = 120(0.85) +
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