Question

The equation P=20sin(2πt)+40 models blood pressure, P, where t represents time in seconds. Find the blood pressure after 21 seconds. Also, give the maximum and minimum blood pressures.

Answer 1

Answer:

a) P(21)=40

b) P max = 60

c) P min = 20

Explanation:

Function Modeling

The blood pressure P is modeled with the equation

$P=20sin(2\pi t)+40$

Where t is in seconds.

a) We'll find the pressure when t=21 seconds

$P(21)=20sin(2\pi \cdot 21)+40$

$P(21)=40$

b) The maximum value will occur when the sine function has a value of 1

$P_{max}=20\cdot 1+40=60$

c) The minimum pressure will occur when the sine function is at minimum (-1)

$P_{min}=20\cdot -1+40=20$