Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.3 - Trigonometric Graphs - 5.3 Exercises - Page 430: 85

Answer

(a) $\frac{1}{80}$ minute (b) $80$ (c) The function can be graphed as shown in the figure. (d) 140/90 higher than the normal of 120/80 mmHg.

Work Step by Step

(a) Compare with a standard sine function $y=a\cdot sin(kx)$ with period $T=\frac{2\pi}{k}$, function $p(t)$ has a period of $T'=\frac{2\pi}{160\pi}=\frac{1}{80}$ minute. (b) Since frequency is the reciprocal of the period, the number of heartbeats per minute is given by $\frac{1}{T'}=80$ (c) The function can be graphed as shown in the figure. (d) Based on the graph, the blood pressure range from 90 to 140 mmHg (140/90) which are higher than the normal of 120/80 mmHg.
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