Each time your heart beats, your blood pressure increases, then decreases as the heart rests between beats. A certain person's blood pressure is modeled by the function p(t) = 110 + 25 sin(164rt) where p(t) is the pressure (in mmHg) at time t, measured in minutes. (a) Find the amplitude, period, and frequency of p. (Round your answer for the period to four decimal places.) amplitude period frequency (b) Sketch a graph of p. AN P 135 110 85 P 135 M 82 110 82 AN (c) If a person is exercising, his or her heart beats faster. How does this affect the period and frequency of p? O The period decreases and the frequency decreases. 85 v O The period decreases and the frequency increases. O The period increases and the frequency increases. O The period increases and the frequency decreases. O It does not affect the period and frequency; it only affects the heart rate.

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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Each time your heart beats, your blood pressure increases, then decreases as the heart rests between beats. A certain person's blood pressure is modeled by the function
p(t) = 110 + 25 sin(164rt)
where p(t) is the pressure (in mmHg) at time t, measured in minutes.
(a) Find the amplitude, period, and frequency of p. (Round your answer for the period to four decimal places.)
amplitude
period
frequency
(b) Sketch a graph of p.
135
110
WW
t
85
135
1
110
M M
82
85
82
(c) If a person is exercising, his or her heart beats faster. How does this affect the period and frequency of p?
O The period decreases and the frequency decreases.
O The period decreases and the frequency increases.
O The period increases and the frequency increases.
O The period increases and the frequency decreases.
O It does not affect the period and frequency; it only affects the heart rate.
Transcribed Image Text:Each time your heart beats, your blood pressure increases, then decreases as the heart rests between beats. A certain person's blood pressure is modeled by the function p(t) = 110 + 25 sin(164rt) where p(t) is the pressure (in mmHg) at time t, measured in minutes. (a) Find the amplitude, period, and frequency of p. (Round your answer for the period to four decimal places.) amplitude period frequency (b) Sketch a graph of p. 135 110 WW t 85 135 1 110 M M 82 85 82 (c) If a person is exercising, his or her heart beats faster. How does this affect the period and frequency of p? O The period decreases and the frequency decreases. O The period decreases and the frequency increases. O The period increases and the frequency increases. O The period increases and the frequency decreases. O It does not affect the period and frequency; it only affects the heart rate.
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