Respiratory Cycle

[nycmathguy]

Section 4.5

Can you set up parts (a) and (b)? I will do the math. I will also do part (c) using desmos.

 

[MathLover1]

given:

v=1.75sin((pi/2)t) where t is time in seconds

a. Find the time for one full respiratory cycle.

time for one full respiratory cycle is equal to period
in your case b=pi/2
period=2pi/b
period=2pi/(pi/2)=4
so, the time for one full respiratory cycle is 4 seconds

b. Find the number of cycles per minute.
60/4=15 cycles per minute

c. Sketch the graph of the velocity function.

 

[nycmathguy]

given:

v=1.75sin((pi/2)t) where t is time in seconds

a. Find the time for one full respiratory cycle.

time for one full respiratory cycle is equal to period
in your case b=pi/2
period=2pi/b
period=2pi/(pi/2)=4
so, the time for one full respiratory cycle is 4 seconds

b. Find the number of cycles per minute.
60/4=15 cycles per minute

c. Sketch the graph of the velocity function.

Tell me, how did you learn to do all these problems by simply answering questions online?

Note: Moving forward, Ron Larson precalculus questions will be reduced to the essentials of the course. I will occasionally surprise you with a few David Cohen questions.

 

[MathLover1]

I learn to do all these problems by studying at university (4 years in my country, 2 years here).

And answering questions online just helps me to prevent to forget all that stuff I knew.
I want my recall memory ( the ability to spontaneously call information up in your mind) to be strong as it was 30-40 years ago.

 

[nycmathguy]

I learn to do all these problems by studying at university (4 years in my country, 2 years here).

And answering questions online just helps me to prevent to forget all that stuff I knew.
I want my recall memory ( the ability to spontaneously call information up in your mind) to be strong as it was 30-40 years ago.

I have been answering textbook questions for years but often forget what I learned. Perhaps the question that should be asked: Did I actually learn the material or just enough to score a passing grade on each classroom test?

 

[MathLover1]

I have been answering textbook questions for years but often forget what I learned. Perhaps the question that should be asked: Did I actually learn the material or just enough to score a passing grade on each classroom test?

you often forget what you learned if you are not doing it every day, that is normal
I didn't do it every day for long time (3 years spent in war zone, 5 years in Germany as refugee, 7 years here until I got to the point to deal with math on more intensive way) and that was pretty damaging
I am still not quite there where I was before war, but doing this helps me a lot to achieve my goal

 

[nycmathguy]

you often forget what you learned if you are not doing it every day, that is normal
I didn't do it every day for long time (3 years spent in war zone, 5 years in Germany as refugee, 7 years here until I got to the point to deal with math on more intensive way) and that was pretty damaging
I am still not quite there where I was before war, but doing this helps me a lot to achieve my goal

I'm glad my questions help you remember all the material you learned years ago.