Heart Rate A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t min. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. t (min) Heartbeats 36 2530 38 2661 40 2806 42 2948 44 3080 (a) Find the average heart rates (slopes of the secant lines) over the time intervals [40, 42] and [42, 44] (b) Estimate the patient's heart rate after 42 min by averag- ing the slopes of these two secant lines.
Heart Rate A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t min. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. t (min) Heartbeats 36 2530 38 2661 40 2806 42 2948 44 3080 (a) Find the average heart rates (slopes of the secant lines) over the time intervals [40, 42] and [42, 44] (b) Estimate the patient's heart rate after 42 min by averag- ing the slopes of these two secant lines.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
![Heart Rate A cardiac monitor is used to measure the heart
rate of a patient after surgery. It compiles the number of
heartbeats after t min. When the data in the table are graphed,
the slope of the tangent line represents the heart rate in beats
per minute.
t (min)
Heartbeats
36
2530
38
2661
40
2806
42
2948
44
3080
(a) Find the average heart rates (slopes of the secant lines)
over the time intervals [40, 42] and [42, 44]
(b) Estimate the patient's heart rate after 42 min by averag-
ing the slopes of these two secant lines.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb62144b-9a12-4bd6-a49f-207726bc86bc%2Fc8a6d13f-d739-4136-b9d2-d5e312b00e5d%2Ft40z1l3.png&w=3840&q=75)
Transcribed Image Text:Heart Rate A cardiac monitor is used to measure the heart
rate of a patient after surgery. It compiles the number of
heartbeats after t min. When the data in the table are graphed,
the slope of the tangent line represents the heart rate in beats
per minute.
t (min)
Heartbeats
36
2530
38
2661
40
2806
42
2948
44
3080
(a) Find the average heart rates (slopes of the secant lines)
over the time intervals [40, 42] and [42, 44]
(b) Estimate the patient's heart rate after 42 min by averag-
ing the slopes of these two secant lines.
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