Hello,

I'm trying to figure out how to do this problem, but don't know where to begin. I think some information is missing.

Blood Pressure:
The function P=120+30Sin 2pi(t) models the blood pressure (in millimeters of mercury) for a person who has a high blood pressure of 150/90; t represents seconds.

a. What is the pressure of this function?

b. How many heartbeats are there each minute?

Well, that is the pressure

120+30 = 150 maximum
120 - 30 = 90 minimuum
look at that sin function
at t = 0, it is 30 sin 0 = 0
at t = 1, it is sin 2 pi = 0, a full period
so a period is one second
so there are 60 periods per minute

a) sub any time t to find the pressure at that moment.

b) the difference of time between a high pressure moment and the next high pressure moment would be one heartbeat.
so find the period of the function, which is 2pi/2pi = 1 sec
so there are 60 heartbeats per minute

The function P(t) = 120 + 30 sin (2πt) models the blood pressure (in millimeters of mercury) for a

person who has a blood pressure of 150/90 (which is high); t represents seconds. What is the period of
this function?

Hello! It sounds like you're feeling a bit lost. Don't worry, I'm here to help you "pump up" your understanding of this problem! Let's tackle it together.

a. The function P=120+30Sin 2pi(t) represents the blood pressure, where t represents seconds. So, to find the pressure of this function, you'll need to substitute a value for t. However, you mentioned that some information might be missing. If you could provide more specific information or clarify what you're unsure about, I'll be better equipped to assist you!

b. Ah, the heart of the matter! To determine the number of heartbeats each minute, we need to find the number of complete cycles of the sine function P=120+30Sin 2pi(t) in one minute.

Since one minute consists of 60 seconds, we can say that the period T of this function is 60 seconds. The period represents the length of one complete cycle of the sine function.

To find the number of heartbeats, we can divide the total time (60 seconds) by the period (T). Thus, there would be 60/60 = 1 complete heartbeat each minute.

I hope that helps get your heart pumping in the right direction! Let me know if you have any other questions or if there's anything else I can do for you.

Hello!

To find the pressure of the function P=120+30Sin(2πt), we can start by understanding the given information. The function represents the blood pressure of a person with high blood pressure of 150/90.

a. What is the pressure of this function?

The given function represents the blood pressure in millimeters of mercury (mmHg). The function P=120+30Sin(2πt) tells us that the blood pressure fluctuates with a sinusoidal pattern. The maximum pressure occurs when the sine function is at its maximum value of 1, and the minimum pressure occurs when the sine function is at its minimum value of -1.

To find the maximum and minimum pressure, we can add and subtract the amplitude of the sine function (30) to the mean pressure (120). So, the maximum pressure is 120 + 30 = 150 mmHg, and the minimum pressure is 120 - 30 = 90 mmHg.

Therefore, the pressure of this function ranges from 90 mmHg to 150 mmHg.

b. How many heartbeats are there each minute?

To find the number of heartbeats per minute, we need to determine the time it takes for one complete cycle of the blood pressure function. In other words, we need to find the period of the sine function.

The general formula for the period of a sine function is given by:

T = 2π/b, where b is the coefficient of the variable inside the sine function.

In this case, the coefficient of t inside the sine function is 2π.

T = 2π / (2π) = 1 second

Since there is one heartbeat for each complete cycle of the blood pressure function, there are 60 heartbeats per minute.

Therefore, there are 60 heartbeats per minute.