The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.
The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.
The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,
t = x²/2D
Where,
t is the diffusion time,
x is the thickness of the membrane,
D is the diffusion coefficient.
Putting values,
t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹
t = 10⁻⁷/4
t = 25 x 10⁻⁹ seconds.
t = 25 uS.
so, the diffusion time is 25uS.
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ANSWER

EXPLANATION
The given function is:

Factor -3 for the first 2 terms.

We add and subtract the square of the coefficient of x.

Factor the perfect square trinomial.

The vertex form is:

2115000
x*10= 42300
x= 4230
x*500
4230*500= 2115000
Hope this helps
Answer:

Step-by-step explanation:
We are asked to find the tangent line approximation for
near
.
We will use linear approximation formula for a tangent line
of a function
at
to solve our given problem.

Let us find value of function at
as:

Now, we will find derivative of given function as:




Let us find derivative at 

Upon substituting our given values in linear approximation formula, we will get:


Therefore, our required tangent line for approximation would be
.