Answer:
a) The maximun volume of air in the climber's lungs is
b) The climber takes 26 breaths per minute
Step-by-step explanation:
a) The function is given by , where is in , and is in minutes.
So the first step is to derive it, by the chain rule we obtain .
After that, we make the expression equals to zero, , then . This leads to .
, and clearing it for .
The second step is to evaluate the original expression for this value so, .
b) As we can see this function have the form , where is the angular frequency, so every radians we will have a breath, therefore Breaths Per Minute=.